Kinetic theory of non-hamiltonian statistical ensembles

A nonequilibrium statistical operator method is developed for ensembles of particles obeying non-Hamiltonian equations of motion in classical phase space. The main consequences of non-zero compressibility of phase space are examined in terms of time-dependent dynamic quantities. The generalized tr...

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Published in:Condensed Matter Physics
Date:2006
Main Authors: Zhukov, A.V., Cao, J.
Format: Article
Language:English
Published: Інститут фізики конденсованих систем НАН України 2006
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/121375
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Kinetic theory of non-hamiltonian statistical ensembles / A.V. Zhukov, J. Cao // Condensed Matter Physics. — 2006. — Т. 9, № 4(48). — С. 637–643. — Бібліогр.: 25 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:A nonequilibrium statistical operator method is developed for ensembles of particles obeying non-Hamiltonian equations of motion in classical phase space. The main consequences of non-zero compressibility of phase space are examined in terms of time-dependent dynamic quantities. The generalized transport equations involve the phase-space compressibility in a non-trivial way. Our results are useful in molecular dynamics simulation studies as well as nonequilibrium or quasiclassical approximations of quantum-classical dynamics. Розвинуто метод нерiвноважного статистичного оператора для ансамблiв частинок, якi пiдкоряються негамiльтоновим рiвнянням руху в класичному фазовому просторi. Основнi наслiдки ненульової стисливостi фазового простору вивчаються на мовi часовозалежних динамiчних величин.
ISSN:1607-324X