Thermodynamics of Coarse Grained Models of Super-Cooled Liquids
arXiv:cond-mat/0501544 · doi:10.1063/1.1955528
Abstract
In recent papers, we have argued that kinetically constrained coarse grained models can be applied to understand dynamic properties of glass forming materials, and we have used this approach in various applications that appear to validate this view. In one such paper [J.P. Garrahan and D. Chandler, Proc. Nat. Acad. Sci. USA 100, 9710 (2003)], among other things we argued that this approach also explains why the heat capacity discontinuity at the glass transition is generally larger for fragile materials than for strong materials. In the preceding article, Biroli, Bouchaud and Tarjus (BB&T) [cond-mat/0412024] have objected to our explanation on this point, arguing that the class of models we apply is inconsistent with both the absolute size and temperature dependence of the experimental specific heat. Their argument, however, neglects parameters associated with the coarse graining. Accounting for these parameters, we show here that our treatment of dynamics is not inconsistent with heat capacity discontinuities.
5 pages, 2 figures. Revised version to appear in J. Chem. Phys
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- Dynamic facilitation theory: A statistical mechanics approach to dynamic arrest
- Dynamical Heterogeneity in Lattice Glass Models
- Nonlinear dielectric response in glasses: restoring forces and avoided spin-glass criticality
- Counting metastable states in a kinetically constrained model using a patch repetition analysis