Gibbs measures and phase transitions.
type: Item
instance of: scholarly article
title: Gibbs measures and phase transitions.
zbMATH Open document ID: 1225.60001
DOI: 10.1515/9783110250329
author: Hans-Otto Georgii
published in: De Gruyter Studies in Mathematics
publication date: 2011-05-03T00:00:00Z
review text: This is the second edition of the fundamental monograph by \textit{H.-O. Georgii} [Gibbs measures and phase transitions. Berlin etc.: Walter de Gruyter (1988; Zbl 0657.60122)]. Apart from corrections and some small adjustments most parts of the book remain unchanged except for two new sections: the first one on large deviations for Gibbs measures and the free minimum free energy principle; whereas the second one gives a brief overview of developments in the field since the first edition was published. In its new edition, the text remains a standard reference for the expert as well as a nicely written introduction to this fascinating subject.
Mathematics Subject Classification ID: 60-02
Mathematics Subject Classification ID: 82-02
Mathematics Subject Classification ID: 82B26
Mathematics Subject Classification ID: 60K35
zbMATH DE Number: 5883229
zbMATH Keywords: mathematical theory of phase transition
zbMATH Keywords: statistical mechanics
zbMATH Keywords: lattice models of classical equilibrium statistical mechanics
zbMATH Keywords: Gibbs measure
zbMATH Keywords: symmetry breaking
zbMATH Keywords: extreme point decompositions
zbMATH Keywords: Gaussian fields as Gibbs measures
zbMATH Keywords: entropy
zbMATH Keywords: breaking of rotational symmetries
zbMATH Keywords: pair potential
zbMATH Keywords: large deviations
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1515/9783110250329
OpenAlex ID: W1507653385
Recommended article: Gibbs measures and phase transitions
Recommended article: Transformations of Gibbs states and applications.
Recommended article: Phase transitions in finite systems.
Recommended article: Q3736675
Recommended article: Q4342606
Recommended article: Q4544398
Recommended article: Gibbs Measures in Biology and Physics
Recommended article: Gibbs entropy and dynamics
Recommended article: Q4030568
Recommended article: GIBBS MEASURES OF CONTINUOUS SYSTEMS: AN ANALYTIC APPROACH
description: scientific article; zbMATH DE number 5883229