English

Dynamical Heterogeneity in Lattice Glass Models

Statistical Mechanics 2012-10-02 v3

Abstract

In this paper we consider in detail the properties of dynamical heterogeneity in lattice glass models (LGMs). LGMs are lattice models whose dynamical rules are based on thermodynamic, as opposed to purely kinetic, considerations. We devise a LGM that is not prone to crystallization and displays properties of a fragile glass-forming liquid. Particle motion in this model tends to be locally anisotropic on intermediate time scales even though the rules governing the model are isotropic. The model demonstrates violations of the Stokes-Einstein relation and the growth of various length scales associated with dynamical heterogeneity. We discuss future avenues of research comparing the predictions of lattice glass models and kinetically constrained models to atomistic systems.

Keywords

Cite

@article{arxiv.0911.0479,
  title  = {Dynamical Heterogeneity in Lattice Glass Models},
  author = {Richard K. Darst and David R. Reichman and Giulio Biroli},
  journal= {arXiv preprint arXiv:0911.0479},
  year   = {2012}
}

Comments

10 pages, 10 figures. v2: Correct model description error: "fewer than m"->"m or fewer". v3: Added footnote 1, improve discussion around chi4 and S4/chi4 figures. Accepted, JCP

R2 v1 2026-06-21T14:06:43.027Z