KFU. Card publication. A model solution of the generalized Langevin equation: Emergence and Breaking of Time-Scale Invariance in Single-Particle Dynamics of Liquids

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A MODEL SOLUTION OF THE GENERALIZED LANGEVIN EQUATION: EMERGENCE AND BREAKING OF TIME-SCALE INVARIANCE IN SINGLE-PARTICLE DYNAMICS OF LIQUIDS

Form of presentation

Articles in international journals and collections

Year of publication

2016

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Authors, employees of KFU

Galimzyanov Bulat Nailevich, author

Mokshin Anatoliy Vasilevich, author

Bibliographic description in the original language

Mokshin A. V. A model solution of the generalized Langevin equation: Emergence and Breaking of Time-Scale Invariance in Single-Particle Dynamics of Liquids [Text] / A. V. Mokshin, B. N. Galimzyanov // Nonlinear Phenomena in Complex Systems. - 2016. - Vol.19, No. 3. - pp. 278-285.

Annotation

It is shown that the solution of generalized Langevin equation can be obtained on the basis of simple comparison of the time scale for the velocity autocorrelation function of a particle (atom, molecule) and of the time scale for the corresponding memory function. The result expression for the velocity autocorrelation function contains dependence on the non-Markovity parameter, which allows one to take into account memory effects of the investigated phenomena. It is demonstrated for the cases of liquid tin and liquid lithium that the obtained expression for the velocity autocorrelation function is in a good agreement with the molecular dynamics simulation results. Dedicated to the memory of Prof. Renat M. Yulmetyev.

Keywords

memory effects, stochastic processes, non-linear dynamics, non-Markovian processes, velocity autocorrelation function, molecular dynamics

The name of the journal

Nonlinear Phenomena in Complex Systems

URL

http://www.j-npcs.org/abstracts/vol2016/v19no3/v19no3p278.html

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=139914&p_lang=2

Resource files

File name	Size (MB)	Format
v19no3p278.pdf	0,23	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Galimzyanov Bulat Nailevich	ru_RU
dc.contributor.author	Mokshin Anatoliy Vasilevich	ru_RU
dc.date.accessioned	2016-01-01T00:00:00Z	ru_RU
dc.date.available	2016-01-01T00:00:00Z	ru_RU
dc.date.issued	2016	ru_RU
dc.identifier.citation	Mokshin A. V. A model solution of the generalized Langevin equation: Emergence and Breaking of Time-Scale Invariance in Single-Particle Dynamics of Liquids [Text] / A. V. Mokshin, B. N. Galimzyanov // Nonlinear Phenomena in Complex Systems. - 2016. - Vol.19, No. 3. - pp. 278-285.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=139914&p_lang=2	ru_RU
dc.description.abstract	Nonlinear Phenomena in Complex Systems	ru_RU
dc.description.abstract	It is shown that the solution of generalized Langevin equation can be obtained on the basis of simple comparison of the time scale for the velocity autocorrelation function of a particle (atom, molecule) and of the time scale for the corresponding memory function. The result expression for the velocity autocorrelation function contains dependence on the non-Markovity parameter, which allows one to take into account memory effects of the investigated phenomena. It is demonstrated for the cases of liquid tin and liquid lithium that the obtained expression for the velocity autocorrelation function is in a good agreement with the molecular dynamics simulation results. Dedicated to the memory of Prof. Renat M. Yulmetyev.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	memory effects	ru_RU
dc.subject	stochastic processes	ru_RU
dc.subject	non-linear dynamics	ru_RU
dc.subject	non-Markovian processes	ru_RU
dc.subject	velocity autocorrelation function	ru_RU
dc.subject	molecular dynamics	ru_RU
dc.title	A model solution of the generalized Langevin equation: Emergence and Breaking of Time-Scale Invariance in Single-Particle Dynamics of Liquids	ru_RU
dc.type	Articles in international journals and collections	ru_RU