Long-Time Tails, Weak Localization, and Classical and Quantum Critical Behavior |
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| Authors: | T R Kirkpatrick D Belitz J V Sengers |
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| Institution: | (1) Institute for Physical Science and Technology, University of Maryland, College Park, Maryland, 20742;(2) Department of Physics, University of Maryland, College Park, Maryland, 20742;(3) Department of Physics and Materials Science Institute, University of Oregon, Eugene, Oregon, 97403;(4) Department of Chemical Engineering, University of Maryland, College Park, Maryland, 20742 |
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| Abstract: | 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. |
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| Keywords: | Long-time tails generic scale invariance weak localization critical behavior quantum phase transitions |
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