First-order phase transitions in Potts and Ising systems

Bricmont, Jean;Lebowitz, J.L.;Messager, A.
(1983) Physics Letters. Section A: General, Atomic and Solid State Physics — Vol. 95A, n° 3-4, p. 169-172 (1983)

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Authors
  • Bricmont, JeanUCLouvain
    Author
  • Lebowitz, J.L.
    Author
  • Messager, A.
    Author
Abstract
The authors use an equivalence between the /b q/-state Potts model on a /b d/-dimensional lattice for /b q/=2/sup n/, /b n /=1, 2, ... and a spin 1/2 Ising model on /b n/ copies of the lattice with 2 /b n/-spin ferromagnetic interactions to obtain some exact new results for both systems. In particular they prove the existence of first-order phase transitions for a class of ferromagnetic Ising systems obtained as perturbations of the large /b q/ Potts-Ising system and the non-vanishing of the surface tension for the Potts model (with /b q/=2/sup n/) at all temperatures below their transition temperature.
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Bricmont, J., Lebowitz, J. L., & Messager, A. (1983). First-order phase transitions in Potts and Ising systems. Physics Letters. Section A: General, Atomic and Solid State Physics, 95A(3-4), 169-172. https://hdl.handle.net/2078.5/82019 (Original work published 1983)