摘要翻译：
我们研究了正方形晶格中Q态Potts模型在淬灭到亚临界温度后的非平衡动力学。利用连续时间蒙特卡罗算法（非守恒序参量动力学），分析了在较宽的淬火温度和系统尺寸范围内能量和弛豫时间的长期行为。对于Q>4，根据淬火温度范围，发现存在不同的动力学状态。在低（但有限）温度和很长时间内，当系统陷入高度对称的非平衡亚稳态时，Lifshitz-Allen-Cahn畴生长行为以有限的概率中断，这导致畴生长的激活，这与Lifshitz[Jetp42,1354(1962)]的早期预测一致。此外，在很低的温度下，系统总是在短时间内停留在一个具有有限寿命的高度无序的亚稳态，这些亚稳态最近被确定为玻璃态。详细分析了不同弛豫时间的有限尺度标度特性及其与温度的依赖关系。
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英文标题：
《Long term ordering kinetics of the two dimensional q-state Potts model》
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作者：
Ezequiel E. Ferrero (1), Sergio A. Cannas (1) ((1) Facultad de
  Matem\'atica, Astronom\'ia y F\'isica, Universidad Nacional de C\'ordoba)
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
  We studied the non-equilibrium dynamics of the q-state Potts model in the square lattice, after a quench to sub-critical temperatures. By means of a continuous time Monte Carlo algorithm (non-conserved order parameter dynamics) we analyzed the long term behavior of the energy and relaxation time for a wide range of quench temperatures and system sizes. For q>4 we found the existence of different dynamical regimes, according to quench temperature range. At low (but finite) temperatures and very long times the Lifshitz-Allen-Cahn domain growth behavior is interrupted with finite probability when the system stuck in highly symmetric non-equilibrium metastable states, which induce activation in the domain growth, in agreement with early predictions of Lifshitz [JETP 42, 1354 (1962)]. Moreover, if the temperature is very low, the system always gets stuck at short times in a highly disordered metastable states with finite life time, which have been recently identified as glassy states. The finite size scaling properties of the different relaxation times involved, as well as their temperature dependency are analyzed in detail.
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PDF链接：
https://arxiv.org/pdf/707.0265