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

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  • Hennecke, Michael

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 ∞.

Suggested Citation

  • Hennecke, Michael, 1998. "Survivors in the two-dimensional Potts model: zero-temperature dynamics for finite Q," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 252(1), pages 173-177.
    • Handle: RePEc:eee:phsmap:v:252:y:1998:i:1:p:173-177
    DOI: 10.1016/S0378-4371(97)00646-8
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    References listed on IDEAS

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    1. Derrida, B. & de Oliveira, P.M.C. & Stauffer, D., 1996. "Stable spins in the zero temperature spinodal decomposition of 2D Potts models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 224(3), pages 604-612.
    2. Hennecke, Michael, 1997. "Survivors in the two-dimensional Potts model: zero-temperature dynamics for Q = ∞," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 246(3), pages 519-528.
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