摘要翻译:
本文综述了非平衡线性响应理论的一些最新进展。本文给出了Markov过程涨落耗散定理的推广,讨论了老化系统的Cugliandolo-Kurchan引用{Cugliandolo93}涨落耗散关系和Franz{It等人}的定理\引用{Franz98}相关的静态和动态性质。我们专门研究相序系统,研究线性响应函数的标度特性,以及这些特性是如何由拓扑缺陷的行为决定的。我们讨论了静力学和动力学之间的联系在这些系统中如何在较低的临界维数或由于随机不稳定性而被破坏。
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英文标题:
《Fluctuation-Dissipation relations far from Equilibrium》
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作者:
Federico Corberi, Eugenio Lippiello and Marco Zannetti
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
In this Article we review some recent progresses in the field of non-equilibrium linear response theory. We show how a generalization of the fluctuation-dissipation theorem can be derived for Markov processes, and discuss the Cugliandolo-Kurchan \cite{Cugliandolo93} fluctuation dissipation relation for aging systems and the theorem by Franz {\it et. al.} \cite{Franz98} relating static and dynamic properties. We than specialize the subject to phase-ordering systems examining the scaling properties of the linear response function and how these are determined by the behavior of topological defects. We discuss how the connection between statics and dynamics can be violated in these systems at the lower critical dimension or as due to stochastic instability.
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PDF链接:
https://arxiv.org/pdf/707.0751