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

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

2005-09-08

arxiv.org/abs/cond-mat/0509206v1

Eur.Phys.J. B50 (2006) 311-314

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1140/epjb/e2006-00100-7

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.

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