Renormalization group theory of anomalous transport in systems with Hamiltonian chaos

被引：86

作者：

Zaslavsky, G. M. ^{[1
,2
]}

机构：

[1] NYU, Courant Inst Math Sci, New York, NY 10012 USA

[2] NYU, Dept Phys, New York, NY 10012 USA

来源：

CHAOS | 1994年 / 4卷 / 01期

关键词：

D O I：

10.1063/1.166054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a general scheme to describe particle kinetics in the case of incomplete Hamiltonian chaos when a set of islands of stability forms a complicated fractal space-time dynamics and when there is orbit stickiness to the islands' boundary. This kinetics is alternative to the ''normal'' Fokker-Planck-Kolmogorov equation. A new kinetic equation describes random wandering in the fractal space-time. Critical exponents of the anomalous kinetics are expressed through dynamical characteristics of a Hamiltonian using the renormalization group approach. Renormalization transformation has been applied simultaneously for space and time and fractional calculus has been exploited.

引用

页码：25 / 33

页数：9

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