Blocking and Persistence in the Zero-Temperature Dynamics of Homogeneous and Disordered Ising Models
Blocking and Persistence in the Zero-Temperature Dynamics of Homogeneous and Disordered Ising Models
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DOI：
10.1103/physrevlett.82.3944
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发表时间：
1999-04
影响因子：
8.6
通讯作者：
C. Newman;D. Stein
中科院分区：
文献类型：
--
作者：
C. Newman;D. Stein
"持续性“指数θ已被广泛用于描述自旋系统在深度淬火之后的非平衡动力学：对于d维立方晶格上的零温度均匀伊辛模型，对于低d，未被时间t翻转的自旋的分数p（t）像t^[-θ（d）]那样衰减到零;对于高d，p（t）可能衰减到p（无穷大）>0，因为"阻塞“（但可能仍然像幂）。晶格的无序或变化有什么影响？我们表明，这些可以相当普遍地导致阻塞（和收敛到一个亚稳态配置），即使是低d，然后提出两个例子-一个无序和一个均匀-其中p（t）指数衰减到p（无穷大）。
A ``persistence'' exponent theta has been extensively used to describe the nonequilibrium dynamics of spin systems following a deep quench: for zero-temperature homogeneous Ising models on the d-dimensional cubic lattice, the fraction p(t) of spins not flipped by time t decays to zero like t^[-theta(d)] for low d; for high d, p(t) may decay to p(infinity)>0, because of ``blocking'' (but perhaps still like a power). What are the effects of disorder or changes of lattice? We show that these can quite generally lead to blocking (and convergence to a metastable configuration) even for low d, and then present two examples --- one disordered and one homogeneous --- where p(t) decays exponentially to p(infinity).