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arXiv cond-mat/0103494cond-mat.dis-nncond-mat.stat-mech
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一维老化

1D Aging

L. R. Fontes, M. Isopi, C. M. Newman, D. L. Stein

摘要:

在一维齐次q态Potts模型中,我们导出了若干非平衡关联的尺度极限--R(tw,tw+t)= tw -->无穷大,t/tw --> θ的老化函数的精确表达式。一个这样的量是(两点两次关联函数)<sigma(0,tw)sigma(n,tw+t)>,当n/sqrt(tw)--> z时。精确的,封闭形式的表达式时,也得到一个或多个间歇的无限温度动态发生。我们的推导通过合并布朗路径和"布朗时空生成树“来表达标度极限,这也产生了其他的老化函数,例如在tw和tw+t之间0点没有自旋翻转的持续概率。

英文摘要:

We derive exact expressions for a number of aging functions that are scaling limits of non-equilibrium correlations, R(tw,tw+t) as tw --> infinity with t/tw --> theta, in the 1D homogenous q-state Potts model for all q with T=0 dynamics following a quench from infinite temperature. One such quantity is (the two-point, two-time correlation function) <sigma(0,tw) sigma(n,tw+t)> when n/sqrt(tw) --> z. Exact, closed-form expressions are also obtained when one or more interludes of infinite temperature dynamics occur. Our derivations express the scaling limit via coalescing Brownian paths and a ``Brownian space-time spanning tree,'' which also yields other aging functions, such as the persistence probability of no spin flip at 0 between tw and tw+t.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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