Farias R L S, Ramos Rudnei O, da Silva L A
Departamento de Ciências Naturais, Universidade Federal de São João del Rei, 36301-160, São João del Rei MG, Brazil.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Sep;80(3 Pt 1):031143. doi: 10.1103/PhysRevE.80.031143. Epub 2009 Sep 28.
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 detail. 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.
将非马尔可夫ian类随机朗之万运动方程与其相应的马尔可夫ian（局部）近似进行比较。详细分析了这些方程的局部近似相对于完全非局部近似的有效性。然后明确规定了局部形式的方程何时可被视为良好近似的条件。根据涨落耗散定理，我们研究了加性噪声和乘性噪声的情况，包括与系统相关的耗散项。
