Article,

Damage spreading in the Potts model with cluster dynamics

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PHYSICA A, 282 (1-2): 176-182 (2000)
DOI: 10.1016/S0378-4371(00)00072-8

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 nor 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 less than or equal to 4 and a discontinuous one for q less than or equal to 5. We also determine the damage critical exponents near the upper spreading temperature threshold (T-s) which seems to be consistent with the directed percolation universality class for all q. (C) 2000 Elsevier Science B.V. All rights reserved.

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