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广义查普曼 - 柯尔莫哥洛夫方程:一种描述外场中反常输运的统一方法。

Generalized chapman-kolmogorov equation: A unifying approach to the description of anomalous transport in external fields.

作者信息

Metzler R

机构信息

Department of Physics and School of Chemical Sciences, University of Illinois at Urbana-Champaign, 600 South Mathews, MC-712 24-6, Urbana, Illinois 61801, USA.

出版信息

Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Nov;62(5 Pt A):6233-45. doi: 10.1103/physreve.62.6233.

Abstract

The generalized Chapman-Kolmogorov equation [V. M. Kenkre, E. W. Montroll, and M. F. Shlesinger, J. Stat. Phys. 9, 45 (1973)] is discussed. It is demonstrated that this equation unifies recently proposed kinetic equations of fractional order that describe anomalous transport in external fields, as well as continuous time random walks. The conditions under which the individual models can be established are discussed.

摘要

讨论了广义查普曼 - 柯尔莫哥洛夫方程[V. M. 肯克雷、E. W. 蒙特罗尔和M. F. 施莱辛格,《统计物理杂志》9, 45 (1973)]。结果表明,该方程统一了最近提出的描述外场中反常输运的分数阶动力学方程以及连续时间随机游走。还讨论了建立各个模型的条件。

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