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Phys. Rev. E 70, 056134 (2004) [8 pages]

Critical behavior of the two-dimensional random-bond Potts model: A short-time dynamic approach

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J. Q. Yin1, B. Zheng1,2, and S. Trimper2
1Zhejiang University, Zhejiang Institute of Modern Physics, Hangzhou 310027, China
2Fachbereich Physik, Universität-Halle, 06099 Halle, Germany

Received 28 July 2004; published 29 November 2004

The short-time critical dynamics of the two-dimensional eight-state random-bond Potts model is investigated with large-scale Monte Carlo simulations. Dynamic relaxation starting from a disordered and an ordered state is carefully analyzed. The continuous phase transition induced by disorder is studied, and both the dynamic and static critical exponents are estimated. The static exponent βν shows little dependence on the disorder amplitude r, while the dynamic exponent z and static exponent 1∕ν vary with the strength of disorder.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.70.056134
DOI:
10.1103/PhysRevE.70.056134
PACS:
64.60.Fr, 05.50.+q, 75.40.Mg, 64.60.Ht