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首页> 外文期刊>Physical review, E. Statistical physics, plasmas, fluids, and related interdisciplinary topics >Nonequilibrium relaxation of the two-dimensional Ising model: Series-expansion and Monte Carlo studies
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Nonequilibrium relaxation of the two-dimensional Ising model: Series-expansion and Monte Carlo studies

机译:二维Ising模型的非平衡弛豫:级数展开和蒙特卡洛研究

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摘要

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 12th 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)= - 1/8dlnt/dlnm, directly from a ratio of three-spin correlation to m. Extrapolation to t --> infinity leads to an estimate z = 2.169 +/- 0.003. [References: 61]
机译:我们通过时间t的序列展开和蒙特卡罗模拟研究了完全有序配置中二维Ising模型的临界松弛。磁化强度(m)和能量系列都可以获取到12阶。从串联分析中对动态临界指数z进行准确估计是困难的,但与2.2兼容。我们还使用蒙特卡罗模拟直接从三自旋相关系数与m的比率确定有效指数z(eff)(t)=-1 / 8dlnt / dlnm。外推到t->无穷大导致估计z = 2.169 +/- 0.003。 [参考:61]

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