Long-term ordering kinetics of the two-dimensional q-state Potts model.
Long-term ordering kinetics of the two-dimensional q-state Potts model.
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二维 q 态 Potts 模型的长期有序动力学。
DOI：
10.1103/physreve.76.031108
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
S. Cannas
中科院分区：
文献类型：
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作者：
Ezequiel Ferrero;S. Cannas
研究了方格子中q态Potts模型在亚临界温度淬火后的非平衡动力学。利用连续时间MonteCarlo算法（非守恒序参量动力学），我们分析了在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。当q>4时，根据失超温度的不同，我们发现存在不同的动力学区域.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，这诱导畴生长的激活，与Lifshitz [JETP 42，1354（1962）]的早期预测一致。此外，如果温度很低，系统总是在短时间内陷入高度无序的亚稳态，具有有限的寿命，最近已被确定为玻璃态。所涉及的不同弛豫时间的有限尺寸标度特性，以及它们的温度依赖性，进行了详细分析。
We studied the nonequilibrium dynamics of the q-state Potts model in the square lattice, after a quench to subcritical temperatures. By means of a continuous time Monte Carlo algorithm (nonconserved 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 gets stuck in highly symmetric nonequilibrium 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 highly disordered metastable states with finite lifetime, 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.