Anomalous diffusion in a field of randomly distributed scatterers

被引：4

作者：

Affan, H. ^{[1
]}

Friedrich, R. ^{[1
]}

Eule, S. ^{[2
]}

机构：

[1] Univ Munster, Inst Theoret Phys, D-48149 Munster, Germany

[2] Max Planck Inst Dynam & Self Org, D-37073 Gottingen, Germany

来源：

PHYSICAL REVIEW E | 2009年 / 80卷 / 01期

关键词：

EQUATIONS; DYNAMICS;

D O I：

10.1103/PhysRevE.80.011137

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We consider the motion of particles which are scattered by randomly distributed obstacles. In between scattering events the particles move uniformly. The governing master equation is obtained by mapping the problem onto a master equation which was previously devised for the description of anomalous diffusion of particles with inertia [R. Friedrich et al., Phys. Rev. Lett. 96, 230601 (2006)]. We show that for a scale-free distance distribution of scatterers a time-fractional master equation arises. The corresponding diffusion equation which exhibits a power-law diffusion coefficient is solved in d dimensions via the method of subordination.

引用

页数：9

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