Tateishi A A, Lenzi E K, da Silva L R, Ribeiro H V, Picoli S, Mendes R S
Departamento de Física, Universidade Estadual de Maringá Avenida Colombo, 5790-87020-900 Maringá-PR, Brazil.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Jan;85(1 Pt 1):011147. doi: 10.1103/PhysRevE.85.011147. Epub 2012 Jan 27.
We investigate a generalized Langevin equation (GLE) in the presence of an additive noise characterized by the mixture of the usual white noise and an arbitrary one. This scenario lead us to a wide class of diffusive processes, in particular the ones whose noise correlation functions are governed by power laws, exponentials, and Mittag-Leffler functions. The results show the presence of different diffusive regimes related to the spreading of the system. In addition, we obtain a fractional diffusionlike equation from the GLE, confirming the results for long time.
我们研究了一个广义朗之万方程（GLE），该方程存在由普通白噪声和任意一种噪声混合而成的加性噪声。这种情况使我们得到了一大类扩散过程，特别是那些噪声相关函数由幂律、指数函数和米塔格 - 莱夫勒函数控制的扩散过程。结果表明存在与系统扩散相关的不同扩散区域。此外，我们从广义朗之万方程得到了一个分数阶扩散型方程，从而证实了长时间的结果。
