| Форма представления | Статьи в зарубежных журналах и сборниках |
| Год публикации | 2016 |
| Язык | русский |
|
Галимзянов Булат Наилевич, автор
Мокшин Анатолий Васильевич, автор
|
| Библиографическое описание на языке оригинала |
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. |
| Аннотация |
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. |
| Ключевые слова |
memory effects, stochastic processes, non-linear
dynamics, non-Markovian processes, velocity autocorrelation
function, molecular dynamics |
| Название журнала |
Nonlinear Phenomena in Complex Systems
|
| URL |
http://www.j-npcs.org/abstracts/vol2016/v19no3/v19no3p278.html |
| Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=139914 |
| Файлы ресурса | |
|
|
Полная запись метаданных  |
| Поле DC |
Значение |
Язык |
| dc.contributor.author |
Галимзянов Булат Наилевич |
ru_RU |
| dc.contributor.author |
Мокшин Анатолий Васильевич |
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/?p_id=139914 |
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 |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|
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