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

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

References in corpus (2)

• Large deviation techniques applied to systems with long-range interactions
• Topological properties of the mean field phi^4 model

Cited by in corpus (15)

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• Phase transitions and configuration space topology
• Phase space gaps and ergodicity breaking in systems with long range interactions
• Negative magnetic susceptibility and nonequivalent ensembles for the mean-field ${\varphi }^4$ spin model
• Nonequivalence of ensembles in the Curie-Weiss anisotropic quantum Heisenberg model
• Microcanonical phase diagrams of short-range ferromagnets
• Relaxation dynamics of stochastic long-range interacting systems
• Phase transitions in simplified models with long-range interactions
• Methods for calculating nonconcave entropies
• Stability of inhomogeneous states in mean-field models with a local potential
• Models with symmetry-breaking phase transitions triggered by dumbbell-shaped equipotential surfaces
• Quantum fluctuations inhibit symmetry breaking in the HMF model
• Simplified energy landscape of the ${\varphi }^4$ model and the phase transition