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Bad Gastein, January 2005 Gels and Strong Liquids In collaboration with S. Bulderyev,C. De Michele,...
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Transcript of Bad Gastein, January 2005 Gels and Strong Liquids In collaboration with S. Bulderyev,C. De Michele,...
Bad Gastein, January 2005
Gels and Strong Liquids
In collaboration with S. Bulderyev,C. De Michele, E. La Nave, A. Moreno, I. Saika-Voivod, P. Tartaglia, E. Zaccarelli
Geometric Constraint: Maximum Valency
SW if # of bonded particles <= Nmax
HS if # of bonded particles > Nmax
V(r)
r
Viscosity and Diffusivity: Arrhenius
• =1
• Cv small
• Stokes-Einstein Relation
Other strong properties:
percolating
Ground State Energy Known !
•It is possible to equilibrate at low T !
•E(T) is known and hence free energy can be calculated exactly down to T=0
It is possible to calculate exactly the vibrational entropy of one single bonding pattern
(basin free energy)
(Ladd andFrenkel)
Thermodynamics in the Stillinger-Weber formalism
F(T)=-T Sconf(E(T))+fbasin(E,T)
with
Fbasin (E)
and
Sconf(E)=kBln[(E)]
Sampled Space with E bonds
Number of configurations with E bonds
sconf
•Comment:In models for fragile liquids, the number of configurations with energy E has been found to be gaussian distributed
Non zero ground state entropy
Landscape of strong and fragile liquids
Realistic ModelNetwork
Primitive Model for Network
Fragile Liquid
Points for discussions….
• Sticky points colloids: •Candidates for Gel formations by suppression of the spinodal decomposition• Candidates for strong liquid behavior.
• Landscape differences between strong and fragile liquids.•Is the configurational entropy of strong liquids at low T (in the classical limit) non zero
• Proteins: • Sticky areas. Gel if favored. Role of the space correlation between the points. No crystals for special sticky points configurations ?