Domain scaling and glassy dynamics in a one-dimensional Kawasaki Ising model.
Domain scaling and glassy dynamics in a one-dimensional Kawasaki Ising model.
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一维川崎伊辛模型中的域缩放和玻璃动力学。
DOI：
10.1103/physrevb.44.12263
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发表时间：
1991
期刊：
影响因子：
--
通讯作者：
R. Stinchcombe
中科院分区：
文献类型：
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作者：
Stephen J. Cornell;K. Kaski;R. Stinchcombe
利用基于单自旋运动的近似方法研究了一维自旋交换动力学伊辛模型。该模型表现出域标度行为后，深淬火到低温，在更高的维度相同的标度指数（1/3）。在缓慢冷却下，该系统的扭结密度预计将冻结在与τ−1/z成比例的值，其中τ是冷却速率的倒数，z是“自然"冷却程序的动态临界指数（=5）。蒙特卡罗模拟的结果被发现与这些预测相比毫不逊色。在冻结非平衡态的剩余时间的行为进行了研究，在短期和长期制度，渐近拉伸指数的形式。
The one-dimensional spin-exchange kinetic Ising model is studied using approximations based on the motion of single spins. This model exhibits domain-scaling behavior after a deep quench to low temperatures, with the same scaling exponent (1/3) as in higher dimensions. Under slow cooling, the kink density of this system is predicted to freeze at a value proportional to τ−1/z, where τ is the inverse cooling rate and z is the dynamic critical exponent (=5) for ‘‘natural'' cooling programs. The results of Monte Carlo simulations are found to compare favorably with these predictions. The residual temporal behavior in a frozen nonequilibrium state is studied in the short- and long-time regimes, approaching asymptotically a stretched-exponential form.