Softening of first-order transition in three-dimensions by quenched disorder

2001/03/19 by Christophe Chatelain, Bertrand Berche, Wolfhard Janke +1 · 3 citations
Materials Science · Mathematics · Physics and Astronomy · #Material Dynamics and Properties #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.64.036120

published as Physical Review E - Statistical, Nonlinear, and Soft Matter Phys 64 (2001) 036120 · LaTeX file with Revtex, 4 pages, 4 eps figures

arxiv created 2001/03/19 · openalex publication_date 2001/08/29 · arxiv updated 2010/07/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study by extensive Monte Carlo simulations the effect of random bond dilution on the phase transition of the three-dimensional four-state Potts model that 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.

Citations

• Effect of random defects on the critical behaviour of Ising models

Cited by

• Critical behavior of the pure and random-bond two-dimensional triangular Ising ferromagnet
• Self-averaging in the random two-dimensional Ising ferromagnet
• Corrections to scaling in the dynamic approach to the phase transition with quenched disorder