A Kinetically Constrained Model with a Thermodynamic Flavor
Statistical Mechanics
2019-09-19 v1 Soft Condensed Matter
Abstract
Kinetically constrained models (KCM) generically have trivial thermodynamics and yet manifest rich glassy dynamics. In order to resolve the thermodynamics-dynamics disconnect in KCMs, we derive a KCM by coarse-graining a non-trivial thermodynamic model with a solvable partition function. Blending of thermodynamics to the KCM makes the role of landscape properties on the relaxation times, fragility and its crossover analytically transparent. Using Bethe ansatz, we calculate the time-dependent -point probability function in the distinct dynamical regimes of the landscapes; the contribution of the glassy term is identified.
Cite
@article{arxiv.1909.08277,
title = {A Kinetically Constrained Model with a Thermodynamic Flavor},
author = {S. S. Ashwin},
journal= {arXiv preprint arXiv:1909.08277},
year = {2019}
}