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Application of large deviation theory to the mean-field phi^4-model

arXiv:cond-mat/0509206 · doi:10.1140/epjb/e2006-00100-7

Abstract

A large deviation technique is used to calculate the microcanonical entropy function s(v,m) of the mean-field phi^4-model as a function of the potential energy v and the magnetization m. As in the canonical ensemble, a continuous phase transition is found. An analytical expression is obtained for the critical energy v_c(J) as a function of the coupling parameter J.

8 pages, 5 figures, proceedings of the Next-SigmaPhi conference in Kolymbari, Crete, Greece, August 13-18, 2005