Distribution of domain sizes in the zero temperature Glauber dynamics of the one-dimensional Potts model
Distribution of domain sizes in the zero temperature Glauber dynamics of the one-dimensional Potts model
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DOI：
10.1103/physreve.54.2513
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发表时间：
1996-09-01
影响因子：
2.4
通讯作者：
Zeitak, R
中科院分区：
文献类型：
--
作者：
Derrida, B;Zeitak, R
对于q态Ports模型的零温Glauber动力学，我们通过将问题映射到一个精确可解的单种群凝聚模型（A+A-->A）上，计算了畴大小的精确分布.在很长的时间限制，这种分布是普遍的，从它的（复杂的）精确的表达，我们提取其在各种制度的行为。我们的结果进行了测试，在模拟和最近提出的一个简单的近似的预测相比。考虑畴壁动力学为反应扩散模型A+A-->A（概率为（q-2）/（q-1））和A+A-->phi（概率为1/（q-1）），计算了长时间范围内的对关联函数。
For the zero temperature Glauber dynamics of the q-state Ports model, we calculate the exact distribution of domain sizes by mapping the problem on an exactly soluble one-species coagulation model (A+A-->A). In the long time limit, this distribution is universal and, from its (complicated) exact expression, we extract its behavior in various regimes. Our results are tested in a simulation and compared to the predictions of a simple approximation proposed recently. Considering the dynamics of domain walls as a reaction-diffusion model A+A-->A with probability (q-2)/(q-1) and A+A-->phi with probability 1/(q-1), we calculate the pair correlation function in the long time regime.