A remark on high temperature polymer expansion for lattice systems with infinite range pair interactions
type: Item
instance of: scholarly article
title: A remark on high temperature polymer expansion for lattice systems with infinite range pair interactions
zbMATH Open document ID: 0929.60088
DOI: 10.1023/A:1007462319206
author: Aldo Procacci
author: Benedetto Scoppola
author: Bernardo Nunes Borges de Lima
published in: Letters in Mathematical Physics
publication date: 2000-01-16T00:00:00Z
review text: The formal polymer expansion for high temperature lattice systems is recalled and investigated. The main results concern the expression of the free energy by an absolute convergent expansion series. They are derived, for some absolutely summable infinite range pair potentials, using a ``tree equality'', resp. one of two ``tree inequalities''. The proofs of the equality, resp. inequalities, are presented in an appendix. The main aim is the exposition based on the tree inequalities instead of other approaches, e.g. on a Rota inequality. (A new proof based on one of the tree inequalities is also given.) Simpler proofs and/or improvements of classical results are obtained.
Mathematics Subject Classification ID: 60K40
Mathematics Subject Classification ID: 82B20
zbMATH DE Number: 1228828
zbMATH Keywords: polymer expansion
zbMATH Keywords: lattice system
zbMATH Keywords: tree inequality
reviewed by: Petr Holický
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1228828