Long-Time Tails, Weak Localization, and Classical and Quantum Critical Behavior
Long-Time Tails, Weak Localization, and Classical and Quantum Critical Behavior
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长尾、弱局域化以及经典和量子临界行为
DOI：
10.1023/a:1020485809093
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发表时间：
2001
影响因子：
1.6
通讯作者：
J. Sengers
中科院分区：
文献类型：
--
作者：
T. R. Kirkpatrick;D. Belitz;J. Sengers
概述了经典和量子统计力学中相关函数的长期和长距离行为。在对平衡时间相关函数中的经典长时尾部进行简单推导后，我们讨论非平衡经典系统中的类似长距离现象。然后，本文将这些现象与量子统计力学中的类似效应进行类比，重点关注长尾尾和相关现象背后的软模式。我们还以经典液-气临界点和量子铁磁转变为例，阐明了临界现象和长时间拖尾之间的相互作用。
An overview is given of the long-time and long-distance behavior of correlation functions in both classical and quantum statistical mechanics. After a simple derivation of the classical long-time tails in equilibrium time correlation functions, we discuss analogous long-distance phenomena in nonequilibrium classical systems. The paper then draws analogies between these phenomena and similar effects in quantum statistical mechanics, with emphasis on the soft modes that underly long-time tails and related phenomena. We also elucidate the interplay between critical phenomena and long-time tails, using the classical liquid-gas critical point and the quantum ferromagnetic transition as examples.