Fractional kinetics

被引:577
作者
Sokolov, IM [1 ]
Klafter, J
Blumen, A
机构
[1] Humboldt Univ, Berlin, Germany
[2] Tel Aviv Univ, IL-69978 Tel Aviv, Israel
[3] Univ Freiburg, D-7800 Freiburg, Germany
关键词
D O I
10.1063/1.1535007
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The equations built on fractional derivatives describing the anomalously slow diffusion observed in systems with a broad distribution of relaxation times were presented. These systems included charge transport in amorphous semiconductors, spread of contaminants in underground water, relaxation in polymer networks and in arrays of convection rolls. The equations generalized Fick's second law and the Fokker-Planck equation by considering effects such as stretching of polymers under external fields.
引用
收藏
页码:48 / 54
页数:7
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