Electrostatics in fractal geometry: Fractional calculus approach

被引：21
作者：
Baskin, Emmanuel [1 ,2 ,3 ]
Iomin, Alexander [1 ,2 ]
机构：
[1] Technion Israel Inst Technol, Dept Phys, IL-32000 Haifa, Israel
[2] Technion Israel Inst Technol, Inst Solid State, IL-32000 Haifa, Israel
[3] H4 Energy Solut Ltd, IL-76702 Rehovot, Israel
来源：
CHAOS SOLITONS & FRACTALS | 2011年 / 44卷 / 4-5期
基金：
以色列科学基金会;
关键词：
RANDOM-WALK; DYNAMICS;
D O I：
10.1016/j.chaos.2011.03.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An electric field in a composite dielectric with a fractal charge distribution is obtained in the spherical symmetry case. The method is based on the splitting of a composite volume into a fractal volume V(d) similar to r(d) with the fractal dimension d and a complementary host volume V(h) = V(3) - V(d). Integrations over these fractal volumes correspond to the convolution integrals that eventually lead to the employment of the fractional integro-differentiation. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：335 / 341
页数：7
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