Survivors in the two-dimensional Potts model: zero-temperature dynamics for finite Q

Michael Hennecke

Physica A: Statistical Mechanics and its Applications, 1998, vol. 252, issue 1, 173-177

Abstract: The Q-dependence of the dynamics of the fraction of never flipped spins F(t) and the average domain area A(t) of the triangular Q-state Potts model are investigated by zero-temperature Monte Carlo simulations. Extending a recent study [Hennecke, Physica A 246 (1997) 519] for Q=∞ to finite Q, asymptotic values of the exponents α of algebraic growth of A(t) and θ of algebraic decay of F(t) are determined. Effective exponents α increase with time to an asymptotic value α≈1, independently of Q. In contrast, asymptotic values of θ do depend on Q and increase from 0.31 to unity when Q increases from 3 to ∞.

Keywords: Potts model; Domain growth; Survivors; Soap froth (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:252:y:1998:i:1:p:173-177

DOI: 10.1016/S0378-4371(97)00646-8

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