EQUIVALENCES OF THE LARGE DEVIATION PRINCIPLE FOR GIBBS MEASURES AND CRITICAL BALANCE IN THE ISING-MODEL

Authors
GREENWOOD PE SUN JM
Citation
Pe. Greenwood et Jm. Sun, EQUIVALENCES OF THE LARGE DEVIATION PRINCIPLE FOR GIBBS MEASURES AND CRITICAL BALANCE IN THE ISING-MODEL, Journal of statistical physics, 86(1-2), 1997, pp. 149-164
Citations number
14
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of statistical physics → ACNP
ISSN journal
00224715
Volume
86
Issue
1-2
Year of publication
1997
Pages
149 - 164
Database
ISI
SICI code
0022-4715(1997)86:1-2<149:EOTLDP>2.0.ZU;2-O
Abstract
In this paper we obtain the equivalence of the large deviation princip le for Gibbs measures with and without an external field. For the Isin g model, the equivalence allows us to study the result of competing in fluences of a positive external field h and a negative boundary condit ion in the cube Lambda(B/h) as h SE arrow 0 for various B. We find a c ritical balance at a value B-0 of B.