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arXiv:cond-mat/0001284 · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

Short-time dynamics and magnetic critical behavior of the two-dimensional random-bond Potts model

He-Ping Ying, Kenji Harada

Published Jul 1, 2000• 20 citations
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Abstract

The critical behavior in the short-time dynamics for the random-bond Potts ferromagnet in two dimensions is investigated by short-time dynamic Monte Carlo simulations. The numerical calculations show that this dynamic approach can be applied efficiently to study the scaling characteristic, which is used to estimate the critical exponents straight theta,beta/nu, and z, for quenched disordered systems from the power-law behavior of the kth moments of magnetization.

DOI
10.1103/physreve.62.174

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In this paper we present our numerical study on short-time critical dynamics for the q-state random-bond Potts model with self-dual quenched disorders. By exploring the universal power-law scaling behavior, the results of magnetic exponent η and dynamic exponent z are estimated for the q=3 and q=8 cases with two specific disorder distribution functions. Our Monte Carlo simulations show evidence that the results of magnetic exponent η are independent of distribution forms, which verifies the existence of universality for the general quenched random-bond models numerically.