Damage spreading in the Potts model with cluster dynamics

E.M.de Sousa Luz, M.p Almeida, U.M.s Costa and M.l Lyra

Physica A: Statistical Mechanics and its Applications, 2000, vol. 282, issue 1, 176-182

Abstract: We study the Damage Spreading on the two-dimensional ferromagnetic q-state Potts model using Swendsen–Wang dynamics. We find two damage spreading transitions: damage does not spread either at low or high temperatures. At the transition occurring near the Curie temperature our numerical results point through a continuous spreading transition for q⩽4 and a discontinuous one for q⩾5. We also determine the damage critical exponents near the upper spreading temperature threshold (Ts) which seems to be consistent with the directed percolation universality class for all q.

Keywords: Spin models; Critical dynamics; Classical Monte Carlo methods (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:282:y:2000:i:1:p:176-182

DOI: 10.1016/S0378-4371(00)00072-8

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