Shapes of growing droplets -- a model of escape from a metastable phase
type: Item
instance of: scholarly article
title: Shapes of growing droplets -- a model of escape from a metastable phase
zbMATH Open document ID: 0831.60103
DOI: 10.1007/BF02186869
published in: Journal of Statistical Physics
publication date: 1996-01-25T00:00:00Z
review text: The aim of the present paper is to discuss the shape of a growing crystal modeled by an Ising model with ferromagnetic nearest neighbor and next nearest neighbour interactions in the presence of a small positive external field. A detailed description of the escape pattern in the asymptotic region of vanishing temperatures is presented. The main result (Theorem 3) says that, for a Glauber dynamics, the growth of subcritical crystals is through a sequence of particular shapes that significantly differ from the equilibrium Wulff octagons.
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 82C44
Mathematics Subject Classification ID: 82C20
zbMATH DE Number: 796315
zbMATH Keywords: Ising model
zbMATH Keywords: nearest neighbour interactions
zbMATH Keywords: Glauber dynamics
author: Roman Kotecký
author: E. Olivieri
reviewed by: Klaus Schürger
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 796315