On large deviations of interface motions for statistical mechanics models

Abstract

We discuss the sharp interface limit of the action functional associated to either the Glauber dynamics for Ising systems with Kac potentials or the Glauber+Kawasaki process. The corresponding limiting functionals, for which we provide explicit formulae of the mobility and transport coefficients, describe the large deviations asymptotics with respect to the mean curvature flow.

32 pages

References in corpus (2)

• Stochastic Allen-Cahn approximation of the mean curvature flow: large deviations upper bound
• Large deviations for the macroscopic motion of an interface

Cited by in corpus (3)

• Motion by mean curvature from Glauber-Kawasaki dynamics
• Mean curvature interface limit from Glauber+Zero-range interacting particles
• Motion by curvature and large deviations for an interface dynamics on ${\mathbb{Z}}^2$