A study on critical universality of the random-bond Potts models with self-dual quenched randomness | Zendy

Hao Ren | Zendy; Gu De-Wei | Zendy; Pan Zheng-Quan | Zendy; Ying He-Ping | Zendy

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A study on critical universality of the random-bond Potts models with self-dual quenched randomness

Author(s) -

Hao Ren,

Gu De-Wei,

Pan Zheng-Quan,

Ying He-Ping

Publication year - 2004

Publication title -

acta physica sinica

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.

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