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Article Dans Une Revue Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Année : 2001

Evidence for softening of first-order transition in 3D by quenched disorder

Bertrand Berche
Wolfhard Janke
  • Fonction : Auteur

Résumé

We study by extensive Monte Carlo simulations the effect of random bond dilution on the phase transition of the three-dimensional 4-state Potts model which is known to exhibit a strong first-order transition in the pure case. The phase diagram in the dilution-temperature plane is determined from the peaks of the susceptibility for sufficiently large system sizes. In the strongly disordered regime, numerical evidence for softening to a second-order transition induced by randomness is given. Here a large-scale finite-size scaling analysis, made difficult due to strong crossover effects presumably caused by the percolation fixed point, is performed.

Dates et versions

hal-00137974 , version 1 (22-03-2007)

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Christophe Chatelain, Bertrand Berche, Wolfhard Janke, Pierre Emmanuel Berche. Evidence for softening of first-order transition in 3D by quenched disorder. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2001, 64, pp.036120. ⟨hal-00137974⟩
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