Kazan (Volga region) Federal University, KFU
KAZAN
FEDERAL UNIVERSITY
 
A MODEL SOLUTION OF THE GENERALIZED LANGEVIN EQUATION: EMERGENCE AND BREAKING OF TIME-SCALE INVARIANCE IN SINGLE-PARTICLE DYNAMICS OF LIQUIDS
Form of presentationArticles in international journals and collections
Year of publication2016
Языканглийский
  • Mokshin Anatoliy Vasilevich, author
  • Bibliographic description in the original language A. V. Mokshin, B. N. Galimzyanov, A Model Solution of the Generalized Langevin Equation: Emergence and Breaking of Time-Scale Invariance in Single-Particle Dynamics of Liquids, Nonlinear Phenomena in Complex Systems, Vol.19, No. 3, pp. 278-285 (2016).
    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.
    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=142493&p_lang=2
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