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RESUME (updated on June 20, 2008) Name : Ahmet Ziyaeddin Akcasu (aka: A. Ziya Akcasu, Ziya Akcasu, Ziya A. Akcasu) Department: Nuclear Engineering and Radiological Sciences The University of Michigan, Ann Arbor, Michigan Date of birth: August 26, 1924 Dates of appointment to various academic ranks at the University of Michigan: Assistant Professor - September 1963 Associate Professor - May 1965 Professor - August 1968 Professor Emeritus - January 1995 Degrees withheld, institutions and dates: MS. (Electronics), Technical University of Istanbul, Turkey, 1948 Diploma, International School of Nuclear Science and Engineering, Argonne National Laboratory, 1957 Ph.D. (Nuclear Engineering), The University of Michigan, 1963 Other teaching experience: Assistant Professor, Technical University of Istanbul, 1948-54 Associate Professor, Technical University of Istanbul, 1954-58 Other professional experience: Resident Research Associate, Reactor Engineering Division, Argonne National Laboratory, Argonne, Illinois, 1959-61 Visiting Scientist, Theoretical Reactor Physics, Brookhaven National Laboratory, Long Island, New York, Summers of 1965-69 Visiting Professor, Technical University of Istanbul, and Nuclear Research Center, CEKMECE, Istanbul, Turkey, 1969-70 (Sabbatical leave)

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Visiting Professor, Nuclear Engineering Department, Nagoya University, Nagoya, Japan, Summer 1974 (under the Visiting Professorship Program of Japan Society for the Promotion of Science) Visiting Scientist, Applied Physics Division, Argonne National Laboratory, Argonne, Illinois, Summer 1975 Visiting Professor, Institute for Physical Science and Technology, University of Maryland, College Park, MD, 1977-78 (Sabbatical leave) Physicist, Center for Materials Research Polymer Science and Standards Division, National Bureau of Standards, Washington, D.C., Summers, 1978-84 Visiting Professor, Institute fur Makromolekulare Chemi der Albert-Ludwigs-Universitat (University of Freiburg), Herman-Staudinger- Hause, Freiburg, Germany (4 months, part of sabbatical leave in 1984-85). Professeur Associe, Centre de Recherches sur les Macromolecules; C. N. R. S., University of Strasbourg, France (3 months, part of sabbatical leave in 1984-85). Visiting Professor, Tsing-Hua University, Shin-chu, Taiwan, R. O. C. (3 months, part of sabbatical leave in 1984-85). Visiting Professor, Centre aux Energies Nouvelles, Alger, Algeria (a short visit in 1985) Visiting Professor, Physics Department, University of Konstanz, Konstanz, Germany (Summer, 1986) Physicist, Center for Materials Research Polymer Science and Standards Division, National Bureau of Standards, Washington, D.C., Summer 1989 Guest Professor, Physics Department, University of Konstanz, Konstanz, Germany (Summer, 1990)

Visiting Professor, Polymer Research Center and School of Engineering, Bogazici University, Istanbul, Turkey; Under the program "Transfer of Knowledge Through Expatriot Nationals (TOKTEN) administered by the United Nations, (May 1991)

Guest Professor, Physics Department, University of Konstanz, Konstanz, Germany (1991-1992) academic year as “Alexander von Humboldt Resaerch awardee for Senior U.S. scientist. “

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Visiting Professor, Physics Department, University of Konstanz, Konstanz, Germany (June 1993 and 1994) Visiting Professor, Physics Department, University of Konstanz, Konstanz, and Max-Planck Institute, Mainz, Germany (March-June 1996) Scientific and professional societies:

American Nuclear Society: Fellow American Physical Society: Fellow Turkish Physical Society: Member Sigma ΧI Member Honors and awards: Distinguished Service Award of Class of 1938E, 1965

Fellow of American Nuclear Society, 1970 "For his outstanding Contribution to the Advancement of Nuclear Science and Engineering” Outstanding Teacher Award, College of Engineering, 1982

1986 Glenn Murphy Award, American Society for Engineering Education "For outstanding contributions to the Profession and Teaching of Nuclear Engineering" Fellow of American physical society, 1986 "For the interpretation of Light and Neutron Scattering from Polymer Solutions" Alexander von Humboldt Research Award for Senior U.S. Scientist, 1991 "In recognition of scientific achievements in research and teaching"

1992 Excellence in Research award , Dep. of Nucl. Eng., College of Engineering, Univ. of Michigan. Science Award of " Science and Technology Research Council of Turkey" (TÜBïTAK), 1992. "Nükleer Reaktör Kurami ve Reaktör Dinamigi, Polimer Fizigi, ve Istatistik Mekanik konularinda uluslar arasi üstün nitelikli calismalari nedeniyle"

Science Award, Association of Turkish American Scientists" (ATAS), 1992 "In recognition of his outstanding scientific work and teaching accomplishments in the field of Nuclear Engineering" Faculty Member of the Year 1993-1994, Nuclear Engineering Department,

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Alpha Nu Sigma- Michigan Alpha Center, Univ. of Michigan. Award For Excellence in Research, 1995. College of Engineering, Univ. of Michigan. Faculty Member of the Year 1996-1997, Nuclear Engineering Department, Alpha Nu Sigma- Michigan Alpha Center, Univ. of Michigan.

PUBLICATIONS BOOK: Akcasu, A. Z., Lellouche, G. and Shotkin, L. M., Mathematical Methods in Nuclear Reactor Dynamics, Academic Press, New York (1971) CONTRIBUTIONS TO EDITED BOOKS: Akcasu, A. Z. and Duderstadt, J. J., "An Application of the Generalized Langevin's Equation to Study of Correlations in Simple Classical Fluids", Kinetic Equations, Edited by R. L. Liboff and N. Rostoker, Gordon and Breach, New York (1971). Akcasu, A. Z., Reactor Physics Constants, 2nd Edition ANL- 5800 (1963), Sections 5.41 and 5.42.

A. Ziya Akcasu, " Dynamic Scattering from Multicomponent Polymer Mixtures in Solution and in Bulk", Chapter 1 , "Dynamic Light Scattering: The Method and Some Applications". Edt. by W. Brown, Oxford University Press, 1992

C. H. Han and A. Ziya Akcasu, "Annual Review of Physical Chemistry" 1992, 43:61-90, Edt. by H. L. Strauss, G. T. Babcock, S. R. Leone, Annual Reviews INC, Palo Alto, California. JOURNAL ARTICLES

Citation Report ( Source: WEB OF SCIENCE, U of M) (the number of citations more than 5):

1. A. Ziya Akcasu, M. Benmouna, and C. C. Han, "Interpretation of Dynamic Scattering from Polymer Solution", Polymer, (1980), 21, 866. Times cited: 184

2. Akcasu, A. Z. and Han, C. C., "Molecule Weight and Temperature Dependence of Polymer Dimensions in Solutions", Macromolecules, (1979), 12, 276. Times cited: 181 3. Akcasu, Z. and Gurol, H., "Quasi-Elastic Scattering by Dilute Polymer

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Solutions", Poly. Sci. Phys., 14, 1-10 (1976). Times cited: 156

4. M. Benmouna; H. Benoit; M. Duval; Ziya Akcasu, Macromolecules, 1987, 20, 1107. Times cited: 107

5. A. Ziya Akcasu and M. Tombakoglu, "Dynamics of Copolymers and Homopolymer Mixtures in Bulk and Solution via The Random Phase Approximation", Macromolecules (1990) 23, 607 Times cited: 100

6. Akcasu, A. Z. and Daniels, E., "Fluctuation Analysis in Simple Fluids", Phys. Rev. A., 2, 962 (1970). Times cited: 97

7. Akcasu, A. Z. and Duderstadt, J. J., "Derivation of Kinetic Equation from the Generalized Langevin's Equation", Phys. Rev., 188, 479 (1969). Times cited: 97

8. A. Z. Akcasu, M. Benmouna and H. Benoit, "Application of Random Phase Approximation to the Dynamics of Polymer Blends and Copolymers," Polymer 1986, 25, 1935. Times cited: 91

9. A. Z. Akcasu, G. C. Summerfield, S. N. Jashan, C. C. Han, C. Y. Kim, and H. Yu, "Measurement of Single Chain Neutron Scattering in Concentrated Polymer Solutions", J. Polymer Science: Polymer Physics Edition, (1980). Times cited: 91

10. Benmouna, M. and Akcasu, A. Z., "Temperature Effects on the Dynamic Structure Factor in Dilute Polymer Solutions", Macromolecules, (1978), 11, 1187. Times cited: 83

11. Han, C. C. and Akcasu, A. Z., "Dynamic Light Scattering of Dilute Polymer Solutions in the Non-Asymptotic q-Region", Macromolecules, (1981), 14, 1080. Times cited: 78

12. Akcasu, A. Z. and Benmouna, M., "Concentration Effects on the Dynamic Structure Factor in Polymer Solutions", Macromolecules, (1978), 11, 1193. Times cited: 64

13. M. Benmouna, G. Weill, H. Benoit and Ziya Akcasu, "Scattering from Charged Macromolecules, 1. Static Structure Factor," J. Physique (1982), 43, 1679-1685. Times cited: 55 14. A. Z. Akcasu, B. Hammouda, T. P. Lodge and C. C. Han, "Dynamic Scattering from BIMODAL Polymer Solutions. 1. Apparent Diffusion Coefficient,"

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Macromolecules, (1984), 17, 759 (Special issue commemorating 70th birthday of W. H. Stockmayer). Times cited: 55

15. A. Ziya Akcasu, G. Nägele, R. Klein, "Identification of Modes in Dynamic attering from Ternary Polymer Mixtures and Interdiffusion", Macromolecules 1991, 24, 4408 Times cited: 54

16. Akcasu, A. Z., "Temperature and Concentration Dependence of Diffusion Coefficient in Dilute Solutions", Polymer (1981), 22, 1169. Times cited: 52

17. M. Benmouna and A. Ziya Akcasu, "The Effect of Preaveraging the Oseen Tensor on the Characteristic Frequency in Good Solvents", Macromolecules, (1980) 13, 409-414. Times cited: 51

18. Duderstadt, J. J. and Akcasu, A. Z., "Calculation of Current Correlations in Classical Fluids via Modelled Kinetic Equations", Phys. Rev. A., 1, 905(1970).

Times cited: 42

19. Akcasu, A. Z., Benmouna, M., and Alkhafaji, S., "Improved Blob Hypothesis in Single Chain Statistics", Macromolecules (1981), 14, 147. Times cited: 38

20. K. Huber, W. Burchard, and A. Z. Akcasu, "Remarks on A2 Hydrodynamic Coil Expansion and Concentration Dependence of the Diffusion Coefficient for Polystyrene in Toluene," Macromolecules, 1985, 18, 2743.

Times cited: 37

21. Han, C. C., and Akcasu, A. Z., "Concentration Dependence of Diffusion Coefficient at Various Molecular Weights and Temperatures", Polymer, (1981), 22, 1165. Times cited: 36

22. Benmouna, M., Akcasu, A. Z. and Daoud, M., "The Effect of Stiffness on the First Cumulant and Polymer Dimensions in Solution", Macromolecules, (1980), 13, 1703. Times cited: 33

23. Akcasu, A. Z. and Higgins, J. S., "Quasielastic Scattering of Neutrons from Freely Jointed Polymer Chains in Dilute Solutions", J. Polym. Science, Polymer Physics Edition, 15, 1745-1746 (1977). Times cited: 33

24. A. Z. Akcasu, M. Bemouna and B. Hammouda, "On the Dynamics of Polyelectrolyte Solutions", J. Chem. Phys. (1984), 80, 2762. Times cited: 29

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25. Akcasu, A. Z., Corngold, N. and Duderstadt, J. J., "Theory of Self-Diffusion in Classical Fluids: The Van Hoye Self- Correlation Function G (r,t)", Phys. of Fluids, 13, 2213 (1970).

Times cited: 28 26. Akcasu, A. Z. and Osborn, R. K., "Application of Langevin's Technique to Space-

and Energy-Dependent Noise Analysis", Nucl. Sci. Eng., 26, 13 (1966). Times cited: 25

27. A. Ziya Akcasu, "Microscopic Drivation and Extension of the Chan-Hilliard -Cook Theory in Polymer Blends", Macromolecules, 1989, 22, 3682 Times cited: 24

28. A. Ziya Akcasu, R. Klein and B. Hammouda, "Dynamics of Multicomponent Polymer Mixtures via the Random Phase Approximation Including Hydrodynamic Interactions" Macromolecules 1993, 26, 4136

Times cited: 23

29. A. Ziya Akcasu and Isaac C. Sanchez, "A Closed-Form, Free-Energy Functional for a Binary Polymer Mixture", J. Chem. Phys., 1988, 88, 7847.

Times cited: 23

30. Nishina, K. and Akcasu, A. Z., "Neutron Wave Analysis in Finite Media", Nucl. Sci. Eng., 39, 170 (1970).

Times cited: 23

31. Akcasu, Z. A., "Fluctuations of Macrovariables in Nonlinear Systems: Langevin Equation Approach", J. Stat. Physics, 16, 33 (1977).

Times cited: 22

32. W. Hess and A. Ziya Akcasu, "The Interdiffusion Coefficient in Two-Component Polymeric Mixtures", J. Phys. (France), 1988, 49, 1261.

Times cited: 22

33. A. Ziya Akcasu and R. Klein, "Nonlinear Theory of Transients Following Step Temperature changges in Polymer Blends" Macromolecules 1993, 26, 1429 Times cited: 21

34. T. P. Lodge, C. C. Han and A. Z. Akcasu, "Temperature Dependence of Dynamic Light Scattering in the Intermediate q-Regime", Macromolecules (1983), 16, 1180.

Times cited: 21

35. Akcasu, Z. A and Karasulu, M., "Nonlinear Response of Point-Reactors to Stochastic Inputs," Annals of Nuclear Energy, 3, 11-18 (1976). Times cited: 19

36. A. Ziya Akcasu, I. Bahar, B. Erman, Y. Feng and C. C. Han, "Theoretical and Experimental study of Disssolution of Inhomogeneities formed during Spinodal Decomposition in polymer mixtures", J. Chem. Phys. 1992, 97(8), 5782

Times cited: 18

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37. Akcasu, A. Z., "Mean Square Instability in Boiling Water Reactors", Nucl. Sci.

Eng., 10, 337 (1961). Times cited: 17

38. May, R.S., Akcasu, Z., and Knoll, G., "Gamma Ray Imaging with Stochastic Apertures", Applied Optics, 13, No. 11, 2589-2601 (1974).

Times cited: 16

39. A. Ziya Akcasu, "The Fast and Slow mode Theories of Interdiffusion in Polymer Mixtures: Resolution of a Controversy" Feature article. Macromol. Theory and Simul. 6, 679-702 (1997)

Times cited: 15

40. Akcasu, A. Z., "Integral Equations for Memory Functions Involving Projection Operators", Phys. Rev. A, 7, 182 (1973).

Times cited: 15

41. Duderstadt, J. J. and Akcasu, A. Z., "Calculation of Current Correlations in Classical Fluids via Kinetic Equations", Phys. Rev. A, 2, 1097 (1970).

Times cited: 15

42. A. Ziya Akcasu; R. Klein ; C, H, Wang, "A Microscopic Theory of Viscoelasticity in Binary Polymer Mixtures" Macromolecules 1994, 27, 2736

Times cited: 14

43. A. Ziya Akcasu, "Addendum to: Dynamics of Copolymer and Homopolymer Mixtures in Bulk and in Solution via the Random Phase Approximation", Macromolecules 1991, 24, 2109

Times cited: 14

44. Akcasu, A. Z., "Comments on the Diffusion Coefficient and the First Cumulant, Macromolecules, (1982), 15, 1321-1324.

Times cited: 14

45. Akcasu, A. Z. and Dalfes, A., "A Study of Nonlinear Reactor Dynamics", Nucl. Sci. Eng., 8, 89 (1960).

Times cited: 14

46. W. Hess, G. Nägele and A. Ziya Akcasu,"Theoretical Foundations of Interdiffusion", J. Polym. Sci., Part B, 1990, 28, 2233

Times cited: 13

47. McCrackin, F.L., Guttman, C.M. and Akcasu, A.Z. "Monte-Carlo Calculations of Hydrodynamic Radii of Polymers in Theta and Good Solvents", Macromolecules, (1984), 17 604 (Special issue commemorating 70th birthday of W. H. Stockmayer).

Times cited: 13

48. Charles C. Han and A. Ziya Akcasu, "Phase Decomposition in Polymers", Annual. Rev. Phys. Chem. 1992, 43, 61-90.

Times cited: 12

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49. Akcasu, A. Z. and Shotkin, L. M., "Power Oscillations and the Describing Function lin Reactors with Linear Feedback", Nuc. Sci. Eng., 28, 72 (1967)

Times cited: 11

50. Akcasu, A. Z. and Akthar, P., "Asymptotic Stability of Xenon- and Temperature Controlled Point Reactors", J. Nucl. Energy, 21, 341 (1967). Times cited: 10

51. Villarreal, E., Canale, R. P., and Z. Akcasu, "A Multi-group Model for Predator- Prey Interactions," Biotechnology and Bioengineering, 17, 1269 (1975).

Times cited: 10

52. A. Z. Akcasu and M.M.R. Williams,” An Analytical Study of Particle Transport in Spatially Random Media in one Dimension: Mean and Variance Calculations,” Nucl. Sci. Eng., 148, 403-4123. Times cited: 9

53. A.Z. Akcasu; G. Nägele; R. Klein, " Remarks on the "Fast" and "Slow" Mode Theories of Interdiffusion," Macromolecules 1995, 28, 6680

Times cited: 8

54 Coronado M., Vitela J., Akcasu A.Z., “Diffusion of Charged Particles in Tokomak-like Stochastic Magnetic and Electric Fields,” Physics of Fluids B-Plasma Physics, 4, 3935 (992) Times cited: 8

55. A. Z. Akcasu and B. Hammouda, "Concentration Dependence of Equilibrium Chain Properties in Dilute Polymer Solutions", Macromolecules (1983) 16, 951.

Times cited: 8

56. M. Tombakoglu and A. Ziya Akcasu, "Interpretation of Dynamic Scattering experiments on ternary polymer mixtures", Polymer, 1992, 33, 1127

Times cited: 7

57. Akcasu, A. Z. and Noble, L. D., "A Nonlinear Study of Reactors with a Linear Feedback", Nucl. Sci. Eng., 25, 47 (1966).

Times cited: 7

58. A. Ziya Akcasu and A. Stolle, "Comments on the Noise Equivalent Source in the Langevin Technique", Ann. nucl. Energy, 1989, 16, 493.

Times cited: 6

59. A.Ziya Akcasu, B. Hammouda, W. H. Stockmayer and G. Tanaka, "First Cumulant for Chains with Constraints," J. Chem. Phys. 1986, 85, 4734.

Times cited: 6

60. Han, C. C., and Akcasu, A. Z., "On the Dynamic Structure Factor S(q,w) Polymers in Solutions", Polymer (1981), 22, 1019.

Times cited: 6

The total number of citations :

Up to June 20, 2008: More than 2400 (Source: WEB OF SCIENCE, U of M)

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A SURVEY OF AKCASU'S CONTRIBUTIONS IN THE FIELDS OF REACTOR PHYSICS, STATISTICAL MECHANICS AND STOCHASTIC TRANSPORT

REACTOR PHYSICS A. Nuclear Reactor Dynamics While working at Argonne National Laboratory (ANL) in the late fifties, Akcasu constructed the general solution of the nonlinear point kinetic equations for an arbitrary reactivity input by expanding the reactor period into a series, and explained the shift in the mean power response to a sinusoidal reactivity input, which had been observed in numerical solutions earlier with analog computers. He developed one of the first detailed analytical descriptions of the feedback mechanism in boiling water reactors, which was used extensively to analyze the transfer function of boiling water reactors until late sixties. This work was included in a publication by ANL (ANL-5800) on "Reactor Physics Constants". During the sixties, he and his students studied the nonlinear stability of nuclear reactors with an arbitrary feedback. An important contribution during this period was the derivation of a general stability criterion for the asymptotic stability in the large in terms of the feedback functional . (This criterion was later extended by M. Z. Padowski (RPI) to coupled-core reactor models in the late seventies.) In the case of linear feedback, they obtained conditions for the existence of solutions with finite escape time (tf), which was first demonstrated by J. Chernik (BNL) in early fifties using a simple feedback model. They showed that such solutions behave as (t-tf)-n, where n>0 depends on the details of the linear feedback kernel. They also obtained sufficient conditions for the boundedness of the power transients, and studied the properties of the limit cycles in detail in the case of a circulating fuel reactor. Akcasu used for the first time the Bogoliubov's method of averages in the field of nonlinear reactor dynamics as an alternative method to solve the point reactor kinetic equations particularly for a sinusoidal reactivity input. Later, Y. Asahi (Japan) and Akcasu used this method to construct the limit cycle in a point reactor with xenon feedback, and investigated the approached of reactor power to this limit cycle in time. Akcasu's contributions to the field of Nuclear Reactor Dynamics between the late fifties and early seventies have been included in a book by Akcasu, Lellouche and Shotkin (Mathematical Methods in Reactor dynamics, Academic Press, New York, 1971), and referenced in the other text books on reactor dynamics by M. Schultz; L. E. Weaver and D. Hetric. B. Reactor Noise Analysis Akcasu also contributed to the field of reactor noise analysis during the sixties. In 1961, he introduced for the first time the concept of mean square instability to explain the unpredictable scrams observed in the experimental boiling water reactors operated near their linear instability threshold. In the mid-sixties he and R. K. Osborn (U of M) derived the stochastic linear transport equation with an expression for the covariance of the stochastic neutron source (Langevin description) to study the fluctuations in space and velocity-dependent neutron density. Using this approach, he and R. K. Osborn (U of M) calculated the cross-correlation function of the outputs of a

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detector pair explicitly at transport level. This work has later (1989) been extended by him and A. Stolle (KAPL) to the analysis of californium-252-source driven noise method for measuring large negative reactivities in subcritical assemblies. This work has contributed significantly to the resolution of a long-standing controversy surrounding this method

STATISTICAL MECHANICS

A. Microscopic description of simple liquids

Akcasu's research interests shifted into statistical mechanics and its applications to fluids and polymeric systems after the late sixties. Since then, he and his various collaborators ( e, g., J. J. Duderstadt, E. Danials) contributed significantly to the interpretation of light and neutron scattering experiments in dense fluids, plasmas and polymeric systems. Using Zwanzig-Mori projection operator formalism, he and E. Daniel's (Ann Arbor) developed the generalized hydrodynamic equations, and studied time correlations in simple fluids. They explicitly calculated the dynamic structure factor for neutron scattering to interpret A. Rahman's (ANL) early computer simulations of liquid Argon, by modeling the memory function as an exponential function. This work was perhaps the first application of the projection operator formalism to the interpretation of dynamics scattering experiments in detail, and was extended by others, for example, to the description of binary mixtures of fluids in the subsequent years. In a seminal paper in 1969, Akcasu and J. Duderstadt (U of M) extended Mori's projection operator formalism to set of dynamical variables with a continuous index, such as momentum, and derived a kinetic equation for dense fluids starting from the Liouville equation. When the memory function was neglected, this equation reduces to a Vlosov-like equation with a mean potential. In the week-coupling approximation of the memory function, it leads to a non-local Fokker-Planck operator. In 1973, Akcasu used a density expansion of the memory function to obtain the linear Boltzmann equation with a non-local collision operator, which had previously been obtained by G. F. Mazenko (U of Chicago) through a diagrammatic summation. Modeling the memory function as an exponential function, Akcasu and Duderstadt calculated the coherent and incoherent scattering functions explicitly and compared the results to computer data. The fluid and kinetic description of dense fluids by Akcasu and his collaborators have been included in several review articles, and text books on simple liquids, such as those by J. P. Boon and S. Yip (McGraw-Hill, 1980), and J. P. Hansen and I. R. McDonald (Academic Press, 1976).

B. Dynamics of Polymer Solutions and Melts Since 1976, Akcasu's research interest has focused on the application of statistical mechanical methods to the dynamics of polymer solutions and multi-component polymer mixtures. In 1976 he and H.Gürol calculated, in a seminal paper, the first cumulant of a single chain for all values of wave number without preaveraging hydrodynamic interactions (This work was referred to by some as the Akcasu-Gürol formalism). Dynamic scattering experiments on polymer solutions by C. C. Han and his colaborators have routinely been interpreted since then in terms of the first cumulant, which described both external and internal motions. In subsequent years, he and his

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collaborators, e. g., M. Benmouna, investigated the concentration and temperature dependence of the first cunmulant and the self and cooperative diffusion coefficients. In 1984 they formulated the dynamics of multi-component polymer solutions, which has been widely used since then in the interpretation of light and neutron scattering experiments on such systems. In 1987, he and I. C. Sanchez (U of Texas at Austin) obtained a new expression for the free energy in polymer blends that extended the interfacial energy term, given by P.-G. deGennes, and also K. Binder (U of Gutenberg, Mainz), to higher orders in the gradient of the order parameter. In collaboration with M. Benmouna and H. Benoit (CRM), he studied in 1986 the dynamics of polymer blends and copolymer melts by using and extending the dynamic the random phase approximation (RPA). This work extended in 1990 to multi-component polymer mixtures with arbitrary number of components that are allowed to be homopolymers, copolymers, stars, etc. In 1991, in collaboration with R. Klein and. G. Nägele (U of Konstanz), Akcasu clarified the confusion surrounding the identification of the modes in dynamic scattering on bimodal systems, and obtained an expression for the interdiffusion coefficient, for the first time, which reproduced the results of the slow-mode and fast-mode theories as the two limiting cases when the vacancy concentration is varied. This new expression of the interdiffusion coefficient (referred to by some as the ANK-theory) has recently been verified experimentally by Y. Feng, et al. , and by G. Meier (Macromolecules). More recently, Akcasu and his coworkers, B. Erman and I. Bahar, Bogazici University have worked on the dissolution (melting) and spinodal decomposition (de-mixing) in interacting polymer blends, and studied the variation of the scattering intensity both during the dissolution and phase separation, as well as during transients following step temperature changes within the one phase region, using a similar approach to that by J. S. Langer. Among other things Akcasu analytically showed for the first that the wave-number qm(t), where the intensity is maximum,

decreases in time as t-1/3 both during spinodal decomposition and during transients following a temperature jump within one phase region towards the spinodal line. He also showed that qm(t) behaves as t-1/2 during dissolution. The formulation of the Dynamic Random Phase approximation in matrix form with and without incompressibility constraint to study dynamics of multi-component polymer mixtures is perhaps his most significant contribution to the dynamics of polymer melts. His contributions to polymer dynamics have been included, or referenced to, in several books. e.g., : "Dynamic Light Scattering," edt. W. Brown , Oxford Science Publications, 1993 Annual Review of Physical Chemistry," edtd. by H.L. StraussVol. 43, 1992. The Theory of Polymer Dynamics, ”M. Doi and S. F. Edwards, Oxford University Press, New York, 1986 “Polymers and Neutron Scattering” J. S. Higgins and H. C. Benoit, Clarendon Press, Oxford, 1994. . STOCHASTIC TRANSPORT Since 2002, Akcasu's research interest has shifted to the theory of particle transport in spatially random media. In a paper in 2004, he and M.M.R. Williams

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studied analytically the calculation of the mean and the variance of the flux, using the dichotomic and the binomial binary random processes as two models for the spatial randomness in the particle density. They introduced for the for the first time the concept of stochastic propagator U(x)=exp[-z(x)], where z(x) is the optical path length, and expressed the mean and the variance of the flux in terms of the moments <U(x)n> which are rigorously calculable in the case of the above two models for the random medium.

In a series of 3 recent papers Akcasu extended the concept of stochastic propagator by introducing the Stochastic Transition Matrix (STM) approach to stochastic transport, when the spatial randomness of the medium is modeled as the dichotomic random process. Briefly, the approach starts with the transport equation in the discrete ordinate representation, dropping the external source for simplicity, as d!(x) / dx = "A(x)!(x) , where the components flux vector !(x) are ! j(x) = !(x,µ j ) with j=1…N, and A(x) is a stochastic matrix, such that A(x) = A

1 in region “1”, and

A(x) = A2

in region “2”. The cord lengths of the regions are assumed to be random with different exponential distributions. The solution of the this equation gor the flux can be written as !(x) = U(x)!(0) , where U(x) is the stochastic transition matrix (STM) which satisfies dU(x) / dx = !A(x)U(x) with U(0) = I . Thus the mean flux is calculated as < !(x) >=< U(x)!(0) > , He then introduced the approximation < !(x) >"< U(x) >< !(0) > , by replacing the average of a product by the product of averages. The neglected term is the covariance of the products, and hence vanishes when !(0) is deterministic. The crucial point in STM approach is that the mean <U(x)> can be calculated rigorously by expressing it first as <U(x) > =<U(x) >

1+<U(x) >

2in terms

of the conditional averages <U(x) > j , j=1,2, and then obtaining two exact coupled equations for <U(x) > j . Akcasu showed that these equations are, in the continuous limit of the angle variable µ = cos! , where ! is the angle between the neutron trajectory and the x-axis, lead to two coupled equations (called MLP equations) which are identical in form to the conventional Levermore-Pomraning (LP) equations (Pomraning, 1991) with the exception that the factor |µ | in front of the term accounting the coupling between the two equations in the LP equation is replaced by µ in new equations. Thus, one concludes that MLP equations calculate the average of the stochastic transition matrix <U(x)>, and hence the relaxation rates (or the inverse relaxation lengths) of the spatial modes, exactly, whereas the relaxation rates are incorrectly calculated with the LP equations. This result was startling because the LP equations had been in use for about two decades. The implementation of the STM algorithm in detail has been illustrated by Akcasu in a recent paper by adopting the two-stream transport model, in two limiting cases of a purely scattering, and a purely absorbing slab with an external source and various boundary conditions. Although <U(x)> is calculated exactly, the calculation the pre-averaged initial flux <!(0)> in < !(x) >"< U(x) >< !(0) > , by implementing the boundary conditions at x=0 and x=L in a finite slab of thickness L, introduces approximations. The details of this procedure and the nature of the approximations it leads to, are also discussed in the above paper. The merits of the STM is currently (2008) being discussed within the Mathematical and Computations community.

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Journal articles in chronological order: 1. Akcasu, A. Z., "Van Der Pole's Equation", Wireless Engineer, 31, 198 (1954). 2. Akcasu, A. Z., "Amplitude Limitation in LC-Oscillators", Wireless Engineer, 33, 151 (1956). 3. Akcasu, A. Z., "General Solution of the Reactor Kinetic Equations Without Feedback", Nucl. Sci. Eng., 3, 456 (1958). 4. Akcasu, A. Z. and Dalfes, A., "A Study of Nonlinear Reactor Dynamics", Nucl. Sci. Eng., 8, 89 (1960). 5. Akcasu, A. Z., "Mean Square Instability in Boiling Water Reactors", Nucl. Sci. Eng., 10, 337 (1961). 6. Akcasu, A. Z., "Measurement of Noise Power Spectra by Fourier Analysis", J. Appl. Phys., 32, (1961). 7. Akcasu, A. Z. and Osborn, R. K., "Damping Theory and its Application to Neutron Scattering by Anharmonic Crystals", Il Nuoyo Cimento, 38, 175 (1965). 8. Akcasu, A. Z., "Local Stability in Reactors with a Linear Feedback", Nucl. Sci. Eng., 24, 87 (l966). 9. Akcasu, A. Z. and Noble, L. D., "A Nonlinear Study of Reactors with a Linear Feedback", Nucl. Sci. Eng., 25, 47 (1966). 10. Akcasu, A. Z. and Noble, L. D., "Lagrange Stability in Reactors with a Linear Feedback", Nucl. Sci. Eng., 25, 427 (l966). 11. Akcasu, A. Z. and Osborn, R. K., "Application of Langevin's Technique to Space- and Energy-Dependent Noise Analysis", Nucl. Sci. Eng., 26, 13 (1966). 12. Akcasu, A. Z. and Akthar, P., "Asymptotic Stability of Xenon- and Temperature Controlled Point Reactors", J. Nucl. Energy, 21, 341 (1967). 13. Akcasu, A. Z. and Wald, L., "Bremsstrahlung of Slow Electrons in Neutral Gases and Free-Free Absorption on Microwaves", Physics of Fluids, 10, 132, (1967). 14. Akcasu, A. Z. and Shotkin, L. M., "Power Oscillations and the Describing Function lin Reactors with Linear Feedback", Nuc. Sci. Eng., 28, 72 (1967) 15. Osborn, R. K. and Akcasu, A. Z., "Intensity Fluctuations of the Radiation from a Dispersive Blackbody", J. Appl. Phys., 38, 5165 (1967). 16. Akcasu, A. Z. and Duderstadt, J. J., "Derivation of Kinetic Equation from the Generalized Langevin's Equation", Phys. Rev., 188, 479 (1969). 17. Duderstadt, J. J. and Akcasu, A. Z., "Calculation of Current Correlations in Classical Fluids via Modelled Kinetic Equations", Phys. Rev. A., 1, 905(1970). 18. Akcasu, A. Z. and Akthar, P., "On the Asymptotic Stability of Reactors with Arbitrary Feedback", J. Math. Phys., 11, 155 (1970). 19. Akcasu, A. Z. and Daniels, E., "Fluctuation Analysis in Simple Fluids", Phys. Rev. A., 2, 962 (1970).

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20. Akcasu, A. Z., Corngold, N. and Duderstadt, J. J., "Theory of Self-Diffusion in Classical Fluids: The Van Hoye Self- Correlation Function G (r,t)", Phys. of Fluids, 13, 2213 (1970). 21. Nishina, K. and Akcasu, A. Z., "Neutron Wave Analysis in Finite Media", Nucl. Sci. Eng., 39, 170 (1970). 22. Duderstadt, J. J. and Akcasu, A. Z., "Calculation of Current Correlations in Classical Fluids via Kinetic Equations", Phys. Rev. A, 2, 1097 (1970). 23. Tsai, H. S., Oktay, E. and Akcasu, A. Z., "Calculation of Photon Absorption Coefficient in Laser-Produced Hydrogen Plasmas", J. of Applied Physics, 42, 5469 (1971). 24. Akcasu, A. Z. and Bost, C. M., "The Concept of Multiple- Input Zero Power Describing Function", Nucl. Sci. Eng., 47, 104 (1972). 25. Akcasu, A. Z., "Integral Equations for Memory Functions Involving Projection Operators", Phys. Rev. A, 7, 182 (1973). 26. Asahi, Y. and Akcasu A. Z., "An Investigation of Nonlinear Xenon Oscillation by Method of Averaging", Journal of Nuclear Energy, 27, 839 (1973). 27. Akcasu, A. Z., et. al., "Coded Aperture Gamma-Imaging with Stochastic Apertures", Optical Engineering, 13, No. 2, 117- 129 (1974) 28. May, R.S., Akcasu, A.Z., and Knoll, G., "Gamma Ray Imaging with Stochastic Apertures", Applied Optics, 13, No. 11, 1589-2601 (1974). 29. Villarreal, E., Canale, R. P., and A. Z. Akcasu, "A Multigroup Model for Predator-Prey Interactions", Biotechnology and Bioengineering, XVII, 1269 (1975). 29B. Villarreal, E., Canale, R. P., and A. Z. Akcasu, "Transport Equations for Microbial Predetor-Prey Community", Microbial Ecology, 3, 131-142 (1977) 30. Villarreal, E., Akcasu, A. Z., and Canale, R. P., "A Theory of Interacting Microbial Populations", Journal of Theoretical Biology, 58, 285-317 (1976). 31. Akcasu, A. Z., and Karasulu, M., "Nonlinear Response of Point-Reactors to Stochastic Inputs", Annals of Nuclear Energy, 3, 11-18 (1976). 32. Akcasu, A. Z. and Gurol, H., "Quasi-Elastic Scattering by Dilute Polymer Solutions", Poly. Sci. Phys., 14, 1-10 (1976). 33. Akcasu, A. Z., "Fluctuations of Macrovariables in Nonlinear Systems: Langevin Equation Approach", J. Stat. Physics, 16, 33 (1977). 34. Akcasu, A. Z. and Higgins, J. S., "Quasielastic Scattering of Neutrons from Freely Jointed Polymer Chains in Dilute Solutions", J. Polym. Science, Polymer Physics Edition, 15, 1745-1746 (1977). 35. Akcasu, A. Z. and Benmouna, M., "Concentration Effects on the Dynamic Structure Factor in Polymer Solutions", Macromolecules, (1978), 11, 1193. 36. Benmouna, M. and Akcasu, A. Z., "Temperature Effects on the Dynamic Structure Factor in Dilute Polymer Solutions", Macromolecules, (1978), 11, 1187. 37. Akcasu, A. Z. and Han, C. C., "Molecule Weight and Temperature Dependence of Polymer Dimensions in Solutions", Macromolecules, (1979), 12, 276. 38. A. Ziya Akcasu, M. Benmouna, and C. C. Han, "Interpretation of Dynamic Scattering from Polymer Solution", Polymer, (1980), 21, 866

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39. A. Z. Akcasu, G. C. Summerfield, S. N. Jashan, C. C. Han, C. Y. Kim, and H. Yu, "Measurement of Single Chain Neutron Scattering in Concentrated Polymer Solutions", J. Polymer Science: Polymer Physics Edition, (1980). 40. M. Benmouna and A. Ziya Akcasu, "The Effect of Preaveraging the Oseen Tensor on the Characteristic Frequency in Good Solvents", Macromolecules, (1980) 13, 409-414. 41. Benmouna, M., Akcasu, A. Z. and Daoud, M., "The Effect of Stiffness on the First Cumulant and Polymer Dimensions in Solution", Macromolecules, (1980), 13, 1703. 42. Akcasu, A. Z., Benmouna, M., and Alkhafaji, S., "Improved Blob Hypothesis in Single Chain Statistics", Macromolecules (1981), 14, 147. 43. Gencay, S. and Akcasu, A. Z., "Noise Analysis of Zero Power Critical Line Reactor Using Langevin Technique", Annals of Nuclear Energy, (1981), 8, 65. 44. Han, C. C., and Akcasu, A. Z., "On the Dynamic Structure Factor S(q,w) Polymers in Solutions", Polymer (1981), 22, 1019. 45. Han, C. C. and Akcasu, A. Z., "Dynamic Light Scattering of Dilute Polymer Solutions in the Non-Asymptotic q-Region", Macromolecules, (1981), 14, 1080. 46. Akcasu, A. Z., "Temperature and Concentration Dependence of Diffusion Coefficient in Dilute Solutions", Polymer (1981), 22, 1169. 47. Han, C. C., and Akcasu, A. Z., "Concentration Dependence of Diffusion Coefficient at Various Molecular Weights and Temperatures", Polymer, (1981), 22, 1165. 48. Han, C. C. and Akcasu, A. Z., "Dynamic Light Scattering of Polymer Solutionsj in the Intermediate Momentum Transfer Region", Polymer Preprints (ACS), 22, 68 (1981). 49. A. Z. Akcasu, "Generalized Langevin Equation in Nonequilibrium Statistical Mechanics", Special issue of DOGA BILIM DERGISI for the commemoration of ATATURK'S 100th birthday, Vol. 5, 103-116 (1981) (in Turkish). 50. Akcasu, A. Z., "Comments on the Diffusion Coefficient and the First Cumulant, Macromolecules, (1982), 15, 1321-1324. 51. M. Benmouna, G. Weill, H. Benoit and A. Ziya Akcasu, "Scattering from Charged Macromolecules. I. Static Structure Factor", J. Physique (1982) 43 , 1679-1685. 52. M. E. Fenstermacher and A. Z. Akcasu, "Effects of Random Fluctuations in External Magnetic Field on Plasma Conductivity", Phys. of Fluids, 26, 2, (1983). 53. A. Z. Akcasu and B. Hammouda, "Concentration Dependence of Equilibrium Chain Properties in Dilute Solutions", Macromolecules (1983), 16, 951. 54. T. P. Lodge, C. C. Han and A. Z. Akcasu, "Temperature Dependence of Dynamic Light Scattering in the Intermediate q-Regime", Macromolecules (1983), 16, 1180. 55. Vitela, J. and Akcasu, A.Z., "Optimal Flux Distribution in Slab Reactors with Uniform External Sources", Nucl. Sci. Tech., (Japan), 1983, 20, 359.

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56. Hammouda, B.and Akcasu, A.Z., "Concentration Dependence of the First Cumulant as a Function of Momentum Transfer", Macromolecules,(1983), 16, 1852. 57. A. Z. Akcasu and B. Hammouda, "Concentration Dependence of Equilibrium Chain Properties in Dilute Polymer Solutions", Macromolecules (1983), 16, 951. 58. McCrackin, F.L., Guttman, C.M. and Akcasu, A.Z. "Monte-Carlo Calculations of Hydrodynamic Radii of Polymers in Theta and Good Solvents", Macromolecules, (1984), 17 604 (Special issue commemorating 70th birthday of W. H. Stockmayer). 59. A. Z. Akcasu, B. Hammouda, T. P. Lodge and C. C. Han, "Dynamic Scattering from BIMODAL Polymer Solutions. 1. Apparent Diffusion Coefficient", Macromolecules,(1984), 17, 759 (Special issue commemorating 70th birthday of W. H. Stockmayer). 60. B. Hammouda, A. Z. Akcasu and M. Benmouna, "Concentration Dependence of the First Cumulant for Partially Labelled Chains in Dilute Solutions", Polym. Phys. Ed., J. Polym. Sci., (1984), 22, 853. 61. A. Z. Akcasu, M. Bemouna and B. Hammouda, "On the Dynamics of Polyelectrolyte Solutions", J. Chem. Phys. (1984), 80, 2762. 62. A. H. Belbachir and A. Z. Akcasu, "Pump Fluctuation Effects on Parametric instabilities in Plasmas", J. Plasma Physics, (1984), 32, 7. 63. A. Ziya Akcasu and C. M. Guttman, "Remarks on the Translational Diffusion Coefficient of Relatively Short Chains," Macromolecules (1985), 18, 938. 64. A. Ziya Akcasu and B. Hammouda, "Motion of a Charged Particle in a Randomly Varying Magnetic Field," Physica, ( 1985), 131A, 485. 65. K. Huber, W. Burchard, and A. Z. Akcasu, "Remarks on A2 Hydrodynamic Coil Expansion and Concentration Dependence of the Diffusion Coefficient for Polystyrene in Toluene," Macromolecules, 1985, 18, 2743. 66. A. Z. Akcasu, M. Benmouna and H. Benoit, "Application of Random Phase Approximation to the Dynamics of Polymer Blends and Copolymers," Polymer 1986, 25, 1935. 67. M. Benmouna, A. Z. Akcasu and B. Hammouda, "Addendum to the paper 'On the Dynamics of Polyelectrolyte Solutions'," J. Chem. Phys., 1986, 85, 1912 68. A. Z. Akcasu, "Wave-Number Dependent Instantaneous Relaxation Frequency Concept in Polymer Solution Dynamics," (1986) (Special issue on the occasion of seventy-fifth birthday of Ord. Prof. Dr. Ratip Berker), invited paper Bull. Tech. Univ. Istanbul 1986, 29, 283 69. A.Ziya Akcasu, B. Hammouda, W. H. Stockmayer and G. Tanaka, "First Cumulant for Chains with Constraints," J. Chem. Phys. 1986, 85, 4734. 70. M. Benmouna; H. Benoit; M. Duval; A. Ziya Akcasu, Macromolecules, 1987, 20, 1107. 71. J. E. Vitale and A. Z. Akcasu, "Optimal Laser-Heating of Plasmas with Constant Density," J. Optimization Theory and Applications, 1987, 52, 123.

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72. J. Vitela and A. Z. Akcasu, "Optimal Laser-Heating of Plasmas Confined in a Strong Solenoidal Magnetic Fields," Nuclear Engineering and Design, 1987, 4, 165. 73. A. Ziya Akcasu and Isaac C. Sanchez, "A Closed-Form, Free-Energy Functional for a Binary Polymer Mixture", J. Chem. Phys., 1988, 88, 7847. 74. W. Hess and A. Ziya Akcasu, "The Interdiffusion Coefficient in Two-Component Polymeric Mixtures", J. Phys. (France), 1988, 49, 1261. 75. A. Ziya Akcasu, "Microscopic Drivation and Extension of the Chan-Hilliard -Cook Theory in Polymer Blends", Macromolecules, 1989 ,22, 3682 76. A. Ziya Akcasu and A. Stolle, "Comments on the Noise Equivalent Source in the Langevin Technique", Ann. nucl. Energy, 1989, 16, 493.

77. A. Ziya Akcasu and I. C. Sanchez,"Foundations and Extentions of the Cahn- Hilliard-Cook Theory", Mol. Cryst. Liq., (1990), 180 A, 147 78. A. Ziya Akcasu and M. Tombakoglu, "Dynamics of Copolymers and Homopolymer Mixtures in Bulk and Solution via The Random Phase Approximation", Macromolecules (1990) 23, 607 79. J.Vitela E. and A. Ziya Akcasu, "Stochastic Stability of Charged Particle Beams", Physica A (1990), 162, 427

80. W. Hess, G. Nägele and A. Ziya Akcasu,"Theoretical Foundations of Interdiffusion", J. Polym. Sci., Part B, 1990, 28, 2233 81. A. Ziya Akcasu, "Addendum to: Dynamics of Copolymer and Homopolymer Mixtures in Bulk and in Solution via the Random Phase Apparoximation", Macromolecules 1991, 24, 2109 82. A. Ziya Akcasu, G. Nägele, R. Klein, "Identification of Modes in Dynamic scattering from Ternary Polymer Mixtures and Interdiffusion", Macromolecules 1991, 24, 4408 83. G. Fytas, J. Kanetakis, B. Momper, and A. Z. Akcasu, "Hypersonic Velocity in Binary Polymer Mixtures: Poly(dimethylsiloxane)- Poly (ethylmethylsiloxane)", J. Chem. Phys. 1991, 95(9), 6866. 84. M. Tombakoglu and A. Ziya Akcasu, "Interpretation of Dynamic Scattering experiments on ternary polymer mixtures", Polymer, 1992, 23, 1127 85. A. Ziya Akcasu, I. Bahar, B. Erman, Y. Feng and C. C. Han, "Theoretical and Experimental study of disssolution of inhomogeneities formed during spinodal decomposition in polymer mixtures", J. Chem. Phys. 1992, 97(8), 5782. 86. A. Ziya Akcasu, B. Erman, and I. Bahar, "Nonlinear Kinetics of Spinodal Decomposition, and Dissolution of Inhomogeneities Fromed by Spinodal Decomposition in Polymer Blends" Makromol. Chem., Macromol. Symp. 62, 43-60, 1992 87. Charles C. Han and A. Ziya Akcasu, "Phase Decomposition in Polymers", Annu. Rev. Phys. Chem. 1992, 43, 61-90. 88. N. Dogan, D. K. Wehe, and A. Ziya Akcasu, "A Source Reconstruction Method for Multiple Scatter Compton Cameras" IEEE Transactions on Nuclear Science 1992, 39, 1427 89. A. Ziya Akcasu, G. Nägele, R. Klein, "Interdiffusion in Polymer Mixtures ", Progr Collioid Polym Sci 1992, 89, 89-94.

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90. A. Ziya Akcasu and A. M. Stolle, "Langevin Equation Approach to Recator Noise Analysis: Stochastic Transport Equation", Nuclear Science and Engineering, 1993, 113, 31-55. 91. A. Ziya Akcasu and R. Klein, "Nonlinear Theory of Transients Following Step Temperature changges in Polymer Blends" Macromolecules 1993, , 26, 1429 92. A. Ziya Akcasu, R. Klein and B. Hammouda, "Dynamics of Multicomponent Polymer Mixtures via the Random Phase Approximation Including Hydrodynamic Interactions" Macromolecules 1993, 26, 4136 93. A. Ziya Akcasu; R. Klein ; C, H, Wang, "A Microscopic Theory of Viscoelasticity in Binary Polymer Mixtures" Macromolecules 1994, 27 2736. 94. T. Jian; S. H. Anastasiadis; A, K. Rizos; G. Fytas; A. Ziya Akcasu, " Interdiffusion in Dilute Polymer Mixtures: A Subtle Concentration Effect" J. Chem. Phys. 1994, 101, 3222. 95. A.Z. Akcasu; G. Nägele; R. Klein, " Remarks on the "Fast" and "Slow" Mode Theories of Interdiffusion," Macromolecules 1995, 28, 6680 96. A. Ziya Akcasu and Edward W. Larsen, "A statistical Model for Electron

Transport and Dose Calculations" Ann. Nucl. Energy 1996, 23, 253-270 97. A. Ziya Akcasu, "Remarks on the Structure and Validity of the Cahn-Hilliard- Cook Theory in Multicomponent polymer Sysytems" Polymer 1997, 38, 4563 98. A. Ziya Akcasu, "The Fast and Slow mode Theories of Interdiffusion in Polymer Mixtures: Resolution of a Controversy" Feature article. Macromol. Theory Simul. 6, 679-702 (1997) 99. A. Ziya Akcasu and James P. Holloway, "Fokker-Planck Description of Electron and Photon Transport in Homogeneous Media" Physical Review E 1997, 55, 6753 100. A. Ziya Akcasu and James P. Holloway, "Fokker-Planck Description of particle Transport in Finite Media: Boundary Conditions" Physical Review E 1998, 58, 4321. 101. A. Ziya Akcasu, G. Jannink. And H. Benoit, “Application of the Sherman- Morisson Formula to Scattering problems by multi-component Systems,” Eur. Phys. J. E 8, 315-319 (2002). 102. A. Z. Akcasu and M.M.R. Williams,” An Analytical Study of Particle Transport in Spatially Random Media in one Dimension: Mean and Variance Calculations,” Nucl. Sci. Eng., 148, 403-4123. 103. Akcasu, A. Z., Corngold, N., 2005. A New Approach to Stochastic Transport via Functional Volterra Expansion. Proc. MBC, Avignon, France. 104. Steven E. Aumeier, Bulent Alpay, John C. Lee, A. Ziya Akcasu, “Probabbilistic Techniques for Diagnosis of Multiple Component Degradations,” Nucl. Sci. Eng.,153, 101-123 (2006) 105. Akcasu, A. Z., “A critique of the Levermore-Pomraning equation,” Trans. Trans. Am. Nucl. Soc. 95, 545 (2006) 106. Akcasu, A. Z. , Corngold, N., “ Strategies in Stochastic Transport.” Nucl. Sci. Eng., 156, 55-67 (2007)

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107. A. Ziya Akcasu, “Modified-Levermore-Pomraning Equation: Its Derivation and its Limitations,” Annals of Nuclear Energy 34 (2007), 579 108 A. Ziya Akcasu, “ Stochastic Transition Matrix approach to stochastic transport and its implementation in two-stream Transport,” Annals of Nuclear Energy 35 (2008) 1274–1283

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