Correlations in classical ground states
type: Item
instance of: scholarly article
title: Correlations in classical ground states
zbMATH Open document ID: 0632.60109
DOI: 10.1007/BF01020661
author: Charles Radin
published in: Journal of Statistical Physics
publication date: 1986-01-01T00:00:00Z
review text: The author gives a purely mathematical treatment of the problem of spatial symmetry in low-temperature crystals where the energy ground states tend to be periodic. The author states to have essentially solved the problem for one-dimensional models in previous papers. In this paper the problem is treated for two- and three-dimensional models. It is shown that energy ground states here tend to have a homogeneity property at least in an average sense, whereby ``homogeneous'' is taken to mean that the configuration is essentially identical (statistically) in any two congruent regions much larger than the period. No physical or technical applications are given.
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 82B05
zbMATH DE Number: 4028595
zbMATH Keywords: crystalline symmetry
zbMATH Keywords: spatial symmetry in low-temperature crystals
MaRDI profile type: Publication
cites work: Q5564295
cites work: Q4183826
cites work: Fréchet differentiability of convex functions
description: scientific article; zbMATH DE number 4028595