DIFFUSION IN COUPLED MAP LATTICES

被引：0
|
作者：
Kupiainen, Antti [1 ]
机构：
[1] Univ Helsinki, Dept Math, Helsinki 00014, Finland
来源：
XVITH INTERNATIONAL CONGRESS ON MATHEMATICAL PHYSICS | 2010年
关键词：
diffusion; deterministic dynamics; renormalization group; HEAT;
D O I：
10.1142/9789814304634_0026
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider a dynamical system consisting of subsystems indexed by a lattice. Each subsystem has one conserved degree of freedom ("energy") the rest, being uniformly hyperbolic. The subsystems are weakly coupled together so that the sum of the subsystem energies remains conserved. We prove that the long time dynamics of the subsystem energies is diffusive.
引用
收藏
页码：381 / 385
页数：5
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