English

On large deviations of interface motions for statistical mechanics models

Mathematical Physics 2022-12-22 v1 math.MP Probability

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.

Cite

@article{arxiv.1802.04194,
  title  = {On large deviations of interface motions for statistical mechanics models},
  author = {Lorenzo Bertini and Paolo Buttà and Adriano Pisante},
  journal= {arXiv preprint arXiv:1802.04194},
  year   = {2022}
}

Comments

32 pages

R2 v1 2026-06-23T00:19:36.730Z