Self-consistent approach to the description of relaxation processes in classical multiparticle systems.
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| Title: | Self-consistent approach to the description of relaxation processes in classical multiparticle systems. |
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| Authors: | Mokshin, A. anatolii.mokshin@mail.ru |
| Source: | Theoretical & Mathematical Physics. Apr2015, Vol. 183 Issue 1, p449-477. 29p. |
| Subjects: | Self-consistent field theory, Relaxation (Gas dynamics), Multiparticle spectrometers, Approximation theory, Equilibrium |
| 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. [ABSTRACT FROM AUTHOR] |
| Copyright of Theoretical & Mathematical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
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| Items | – Name: Title Label: Title Group: Ti Data: Self-consistent approach to the description of relaxation processes in classical multiparticle systems. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Mokshin%2C+A%2E%22">Mokshin, A.</searchLink><i> anatolii.mokshin@mail.ru</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Theoretical+%26+Mathematical+Physics%22">Theoretical & Mathematical Physics</searchLink>. Apr2015, Vol. 183 Issue 1, p449-477. 29p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Self-consistent+field+theory%22">Self-consistent field theory</searchLink><br /><searchLink fieldCode="DE" term="%22Relaxation+%28Gas+dynamics%29%22">Relaxation (Gas dynamics)</searchLink><br /><searchLink fieldCode="DE" term="%22Multiparticle+spectrometers%22">Multiparticle spectrometers</searchLink><br /><searchLink fieldCode="DE" term="%22Approximation+theory%22">Approximation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Equilibrium%22">Equilibrium</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: 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. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Theoretical & Mathematical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s11232-015-0274-2 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 29 StartPage: 449 Subjects: – SubjectFull: Self-consistent field theory Type: general – SubjectFull: Relaxation (Gas dynamics) Type: general – SubjectFull: Multiparticle spectrometers Type: general – SubjectFull: Approximation theory Type: general – SubjectFull: Equilibrium Type: general Titles: – TitleFull: Self-consistent approach to the description of relaxation processes in classical multiparticle systems. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Mokshin, A. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 04 Text: Apr2015 Type: published Y: 2015 Identifiers: – Type: issn-print Value: 00405779 Numbering: – Type: volume Value: 183 – Type: issue Value: 1 Titles: – TitleFull: Theoretical & Mathematical Physics Type: main |
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