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模型C动力学中的临界老化。

Aging at criticality in model-C dynamics.

作者信息

Calabrese P, Gambassi A

机构信息

Scuola Normale Superiore and INFN, Piazza dei Cavalieri 7, I-56126 Pisa, Italy.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Mar;67(3 Pt 2):036111. doi: 10.1103/PhysRevE.67.036111. Epub 2003 Mar 20.

Abstract

We study the off-equilibrium two-point critical response and correlation functions for the relaxational dynamics with a coupling to a conserved density (model C) of the O(N) vector model. They are determined in an epsilon=4-d expansion for vanishing momentum. We briefly discuss their scaling behaviors and the associated scaling forms are determined up to first order in epsilon. The corresponding fluctuation-dissipation ratio has a nontrivial large time limit in the aging regime and, up to one-loop order, it is the same as that of the model A for the physically relevant case N=1. The comparison with predictions of local scale invariance is also discussed.

摘要

我们研究了与(O(N))向量模型的守恒密度(模型C)耦合的弛豫动力学的非平衡两点临界响应和关联函数。它们是在(\epsilon = 4 - d)展开中针对零动量确定的。我们简要讨论了它们的标度行为,并确定了在(\epsilon)的一阶近似下的相关标度形式。相应的涨落耗散比在老化区域有一个非平凡的大时间极限,并且在单圈阶次下,对于物理相关情况(N = 1),它与模型A的相同。还讨论了与局部标度不变性预测的比较。

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