Noncooperative models of kinetically constrained lattice gases

TL;DR

This paper investigates a class of conservative particle systems with kinetic constraints, establishing their diffusive relaxation behavior and confirming positive diffusion and self-diffusion coefficients across all models studied.

Contribution

It proves diffusive scaling of relaxation time and positivity of diffusion coefficients for a broad family of noncooperative kinetically constrained lattice gases.

Findings

Relaxation time scales diffusively.

Diffusion coefficient is positive.

Self-diffusion coefficient is positive.

Abstract

We study a family of conservative interacting particle systems with degenerate rates called noncooperative kinetically constrained lattice gases. We prove for all models in this family the diffusive scaling of the relaxation time, the positivity of the diffusion coefficient, and the positivity of the self-diffusion coefficient.