A Kinetically Constrained Model with a Thermodynamic Flavor

TL;DR

This paper introduces a kinetically constrained model derived from a thermodynamic model to better understand the interplay between thermodynamics and glassy dynamics, providing analytical insights into relaxation and fragility.

Contribution

It presents a novel derivation of a KCM with explicit thermodynamic features, enabling analytical study of landscape effects on glassy behavior.

Findings

Analytical calculation of N-point probability functions in different dynamical regimes

Identification of the glassy contribution to relaxation dynamics

Clarification of the role of landscape properties in fragility

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 $N$-point probability function in the distinct dynamical regimes of the landscapes; the contribution of the glassy term is identified.