Generic triviality of phase diagrams in spaces of long-range interactions
type: Item
instance of: scholarly article
title: Generic triviality of phase diagrams in spaces of long-range interactions
zbMATH Open document ID: 0613.60096
DOI: 10.1007/BF01207256
author: Robert B. Israel
published in: Communications in Mathematical Physics
publication date: 1986-01-01T00:00:00Z
review text: We show that interactions with multiple translation-invariant equilibrium states form a very ''thin'' set in spaces of long-range interactions of classical or quantum lattice systems. For example, generic finite- dimensional subspaces do not intersect this set. This constitutes a severe violation of the Gibbs Phase Rule.
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 81P20
zbMATH DE Number: 3992605
zbMATH Keywords: long-range interactions
zbMATH Keywords: lattice systems
zbMATH Keywords: Gibbs Phase Rule
MaRDI profile type: Publication
cites work: Differentiability properties of the pressure in lattice systems
cites work: Existence of phase transitions for long-range interactions
cites work: Some convexity questions arising in statistical mechanics.
description: scientific article; zbMATH DE number 3992605