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
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.