Motion by mean curvature from the Ginzburg-Landau \(\nabla\phi\) interface model
type: Item
instance of: scholarly article
title: Motion by mean curvature from the Ginzburg-Landau \(\nabla\phi\) interface model
zbMATH Open document ID: 0884.58098
published in: Communications in Mathematical Physics
publication date: 1998-04-16T00:00:00Z
review text: For a certain scalar field \(\varphi_t\) with reversible stochastic dynamics the authors show that under a suitable large scale limit the field becomes deterministic such that locally its normal velocity is proportional to its mean curvature (except to some anisotropy effect). Unlike many other works showing the deterministic behaviour of a stochastic system, here no conservation law is assumed. As a result, it is shown that for every tilt the above field has a unique shift-invariant, ergodic Gibbs measure for \(\nabla \varphi\)-field.
Mathematics Subject Classification ID: 58J65
Mathematics Subject Classification ID: 81P20
Mathematics Subject Classification ID: 82C20
zbMATH DE Number: 1019447
zbMATH Keywords: stochastic dynamics
zbMATH Keywords: deterministic limit
zbMATH Keywords: mean curvature
author: Tadahisa Funaki
author: Herbert Spohn
reviewed by: Yuri E. Gliklikh
MaRDI profile type: Publication
full work available at URL: s002200050080
OpenAlex ID: W2064093707
Wikidata QID: Q114230978
DOI: 10.1007/S002200050080
description: scientific article; zbMATH DE number 1019447