Stochastic Langevin equations: Markovian and non-Markovian dynamics

Details Stochastic Langevin equations: Markovian and non-Markovian dynamics Stochastic Langevin equations: Markovian and non-Markovian dynamics

2009-09-14

arxiv.org/abs/0909.2671v2

Phys.Rev. E80 (2009) 031143

Physics

Condensed Matter

Statistical Mechanics

17 pages, 14 figures

Scientific paper

10.1103/PhysRevE.80.031143

Non-Markovian stochastic Langevin-like equations of motion are compared to their corresponding Markovian (local) approximations. The validity of the local approximation for these equations, when contrasted with the fully nonlocal ones, is analyzed in details. The conditions for when the equation in a local form can be considered a good approximation are then explicitly specified. We study both the cases of additive and multiplicative noises, including system dependent dissipation terms, according to the Fluctuation-Dissipation theorem.

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