Open AccessA study on critical universality of the random-bond Potts models with self-dual quenched randomness
Author(s) -
Hongjiang Ren,
Gu De-Wei,
Pan Zheng-Quan,
Ying Huang
Publication year - 2004
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.53.265
Subject(s) - randomness , potts model , universality (dynamical systems) , statistical physics , exponent , critical exponent , monte carlo method , physics , scaling , condensed matter physics , mathematics , phase transition , statistics , ising model , linguistics , philosophy , geometry
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.