FRACTIONAL DIFFUSION EQUATION ON FRACTALS - 3-DIMENSIONAL CASE AND SCATTERING FUNCTION

被引：80

作者：

ROMAN, HE ^{[1
]}

GIONA, M ^{[1
]}

机构：

[1] UNIV ROME LA SAPIENZA,DEPT CHEM ENGN,I-00184 ROME,ITALY

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1992年 / 25卷 / 08期

关键词：

D O I：

10.1088/0305-4470/25/8/024

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A fractional equation for diffusion in isotropic and homogeneous fractal structures is discussed. It generalizes the fractional diffusion equation valid for d-dimensional Euclidean systems. The asymptotic behaviour of the probability density function is obtained exactly. Analytical expressions are derived for the scattering and relaxation functions, which can be studied by x-ray and neutron scattering experiments on fractals.

引用

页码：2107 / 2117

页数：11

共 9 条

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