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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 183, Number 1, Pages 3–35
DOI: https://doi.org/10.4213/tmf8778
(Mi tmf8778)
 

This article is cited in 23 scientific papers (total in 23 papers)

Self-consistent approach to the description of relaxation processes in classical multiparticle systems

A. V. Mokshinab

a Landau Institute for Theoretical Physics, RAS, Moscow, Russia
b Kazan (Volga Region) Federal University, Kazan, Russia
References:
Abstract: The concept of time correlation functions is a very convenient theoretical tool in describing relaxation processes in multiparticle systems because, on one hand, correlation functions are directly related to experimentally measured quantities (for example, intensities in spectroscopic studies and kinetic coefficients via the Kubo–Green relation) and, on the other hand, the concept is also applicable beyond the equilibrium case. We show that the formalism of memory functions and the method of recurrence relations allow formulating a self-consistent approach for describing relaxation processes in classical multiparticle systems without needing a priori approximations of time correlation functions by model dependences and with the satisfaction of sum rules and other physical conditions guaranteed. We also demonstrate that the approach can be used to treat the simplest relaxation scenarios and to develop microscopic theories of transport phenomena in liquids, the propagation of density fluctuations in equilibrium simple liquids, and structure relaxation in supercooled liquids. This approach generalizes the mode-coupling approximation in the Götze–Leutheusser realization and the Yulmetyev–Shurygin correlation approximations.
Keywords: relaxation process, spatial–time correlation, self-consistent description, mode-coupling approximation, disordered system, projection operator, integro-differential equation, recurrence relation.
Funding agency Grant number
Russian Science Foundation 14-12-01185
Received: 13.08.2014
English version:
Theoretical and Mathematical Physics, 2015, Volume 183, Issue 1, Pages 449–477
DOI: https://doi.org/10.1007/s11232-015-0274-2
Bibliographic databases:
PACS: 05.20.-y; 02.50.-r; 05.70.-a
Language: Russian
Citation: A. V. Mokshin, “Self-consistent approach to the description of relaxation processes in classical multiparticle systems”, TMF, 183:1 (2015), 3–35; Theoret. and Math. Phys., 183:1 (2015), 449–477
Citation in format AMSBIB
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  • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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