Flatness is a criterion for selection of maximizing measures
type: Item
instance of: scholarly article
title: Flatness is a criterion for selection of maximizing measures
zbMATH Open document ID: 1266.82016
author: Renaud Leplaideur
published in: Journal of Statistical Physics
publication date: 2012-07-31T00:00:00Z
full work available at URL: https://arxiv.org/abs/1201.5452
review text: The author considers a specific example of one-dimensional spin systems for which he analyzes the zero-temperature limit. It is shown that the Gibbs measure at temperature \(T\) converges as the \(T\) goes to zero to a entropy maximizing measure (ground-state) which is concentrated on the two flattest minima of the potential.
reviewed by: Luc Rey-Bellet
Mathematics Subject Classification ID: 82B20
Mathematics Subject Classification ID: 37A60
zbMATH DE Number: 6062501
zbMATH Keywords: ergodic optimization
zbMATH Keywords: maximizing measure
zbMATH Keywords: selection
zbMATH Keywords: zero temperature
zbMATH Keywords: ground states
zbMATH Keywords: one-dimensional lattice system
MaRDI profile type: Publication
OpenAlex ID: W2155851405
arXiv ID: 1201.5452
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DOI: 10.1007/S10955-012-0497-7
description: scientific article; zbMATH DE number 6062501