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On the Singularity of the Free Energy at First Order Phase Transition

2002/12/02 by S. Friedli, Sacha Friedli, Friedli, S. +3 · 1 citation
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Quantum chaos and dynamical systems #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0212015

29 pages, 1 figure

arxiv created 2002/12/02 · openalex publication_date 2002/12/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

At first order phase transition the free energy does not have an analytic continuation in the thermodynamical variable, which is conjugate to an order parameter for the transition. This result is proved at low temperature for lattice models with finite range interaction and two periodic ground-states, under the only condition that they verify Peierls condition.

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