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Nonequilibrium relaxation of the two-dimensional Ising model: Series-expansion and Monte Carlo studies

Jian-Sheng Wang·Chee Kwan Gan
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Abstract

We study the critical relaxation of the two-dimensional Ising model from a fully ordered configuration by series expansion in time t and by Monte Carlo simulation. Both the magnetization (m) and energy series are obtained up to 12-th order. An accurate estimate from series analysis for the dynamical critical exponent z is difficult but compatible with 2.2. We also use Monte Carlo simulation to determine an effective exponent, z_eff(t) = - {1/8} d ln t /d ln m, directly from a ratio of three-spin correlation to m. Extrapolation to t = infinity leads to an estimate z = 2.169 +/- 0.003.

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Jian-Sheng Wang, Chee Kwan Gan. 1997-12-17. Nonequilibrium relaxation of the two-dimensional Ising model: Series-expansion and Monte Carlo studies. https://doi.org/10.1103/physreve.57.6548

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