Accelerating and retarding anomalous diffusion
Accelerating and retarding anomalous diffusion
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DOI：
10.1088/1751-8113/45/14/145001
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发表时间：
2012-01
期刊：
影响因子：
--
通讯作者：
C. Eab;S. C. Lim
中科院分区：
文献类型：
--
作者：
C. Eab;S. C. Lim
本文考虑了延迟和加速反常扩散的高斯模型。引入由单个或多个分数阶高斯噪声项驱动的分数阶随机微分方程来描述延迟和加速亚扩散和超扩散。研究了与这些方程的解相关的随机过程均方位移的短期和长期渐近极限。给出了这些方程的具体情况，以提供对延缓或加速异常扩散的可能描述。
In this paper, Gaussian models of retarded and accelerated anomalous diffusion are considered. Stochastic differential equations of fractional order driven by single or multiple fractional Gaussian noise terms are introduced to describe retarding and accelerating subdiffusion and superdiffusion. Short- and long-time asymptotic limits of the mean-squared displacement of the stochastic processes associated with the solutions of these equations are studied. Specific cases of these equations are shown to provide possible descriptions of retarding or accelerating anomalous diffusion.