The generalized Langevin equation revisited: Analytical expressions for the persistence dynamics of a viscous fluid under a time dependent external force

Wilmer Olivares-Rivas and Pedro J. Colmenares

Physica A: Statistical Mechanics and its Applications, 2016, vol. 458, issue C, 76-94

Abstract: The non-static generalized Langevin equation and its corresponding Fokker–Planck equation for the position of a viscous fluid particle were solved in closed form for a time dependent external force. Its solution for a constant external force was obtained analytically. The non-Markovian stochastic differential equation, associated to the dynamics of the position under a colored noise, was then applied to the description of the dynamics and persistence time of particles constrained within absorbing barriers. Comparisons with molecular dynamics were very satisfactory.

Keywords: Stochastic processes; Langevin method; Diffusion constant; Molecular dynamics (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:458:y:2016:i:c:p:76-94

DOI: 10.1016/j.physa.2016.03.112

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