Application of large deviation theory to the mean-field -model
Physikalisches Institut, Lehrstuhl für Theoretische Physik I, Universität Bayreuth, 95440 Bayreuth, Germany
Corresponding author: a email@example.com
Revised: 17 November 2005
Published online: 12 April 2006
A large deviation technique is used to calculate the microcanonical entropy function s(v,m) of the mean-field ϕ4-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 vc(J) as a function of the coupling parameter J.
PACS: 05.70.Fh – Phase transitions: general studies / 64.60.Cn – Order-disorder transformations; statistical mechanics of model systems / 75.10.-b – General theory and models of magnetic ordering
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006