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

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

2001-03-19

arxiv.org/abs/cond-mat/0103377v1

Physical Review E - Statistical, Nonlinear, and Soft Matter Phys 64 (2001) 036120

Physics

Condensed Matter

Statistical Mechanics

LaTeX file with Revtex, 4 pages, 4 eps figures

Scientific paper

10.1103/PhysRevE.64.036120

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.

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