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原文連結
論文資訊
- 類型：已發表論文
- 日期：2008
摘要
We investigate asymptotically the occurrence of anomalous 擴散 and its associated family of 統計 演化 equations. Starting from a non-馬可夫ian process a la Langevin we show that the mean probability distribution of the displacement of a particle follows a generalized non-linear Fokker-Planck equation. Thus we show that the anomalous behavior can be linked to a fast fluctuation process with memory from a microscopic dynamics level, and slow fluctuations of the dissipative variable. The general results can be applied to a wide range of physical systems that present a departure from the Brownian regime. (C) 2007 Elsevier B.V. All rights reserved.
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