English

Sharp interface limit for a quasi-linear large deviation rate function

Analysis of PDEs 2024-02-20 v1 Probability

Abstract

We discuss the sharp interface limit, leading to a mean curvature flow energy, for the rate function of the large deviation principle of a Glauber+Kawasaki process with speed change. We provide an explicit formula of the limiting functional given by the mobility and the transport coefficient.

Cite

@article{arxiv.2402.12155,
  title  = {Sharp interface limit for a quasi-linear large deviation rate function},
  author = {Takashi Kagaya and Kenkichi Tsunoda},
  journal= {arXiv preprint arXiv:2402.12155},
  year   = {2024}
}

Comments

29 pages

R2 v1 2026-06-28T14:53:10.286Z