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Rigorous analysis of singularities and absence of analytic continuation at first-order phase-transition points in
Sacha Friedli1, Charles-Edouard Pfister
1Institute of Theoretical Physics, EPFL, 1015 Lausanne, Switzerland.
Abstract:
We report about two new rigorous results on the nonanalytic properties of thermodynamic potentials at first-order phase transition. For lattice models (d>or=2) with arbitrary finite state space, finite-range interactions which have two ground states, we prove that the pressure has no analytic continuation at the first-order phase-transition point, under the only further assumptions that the Peierls condition is satisfied for the ground states and that the temperature is sufficiently low. For Ising models with Kac potentials J(gamma)(x)=gamma(d)phi(gammax), where 0
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