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

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

2002-12-02

arxiv.org/abs/cond-mat/0212015v1

Physics

Condensed Matter

Statistical Mechanics

29 pages, 1 figure

Scientific paper

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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