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.

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收藏

页码：381 / 385

页数：5

相关论文

共 9 条

[1] COUPLED ANALYTIC-MAPS [J].

BRICMONT, J ;

KUPIAINEN, A .

NONLINEARITY, 1995, 8 (03) :379-396

[2] RANDOM-WALKS IN ASYMMETRIC RANDOM-ENVIRONMENTS [J].

BRICMONT, J ;

KUPIAINEN, A .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1991, 142 (02) :345-420

[3] RENORMALIZATION-GROUP AND ASYMPTOTICS OF SOLUTIONS OF NONLINEAR PARABOLIC EQUATIONS [J].

BRICMONT, J ;

KUPIAINEN, A ;

LIN, G .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1994, 47 (06) :893-922

[4]

BRICMONT J, IN PRESS

[5] Towards a derivation of fourier's law for coupled anharmonic oscillators [J].

Bricmont, Jean ;

Kupiainen, Antti .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2007, 274 (03) :555-626

[6] ERGODIC SYSTEMS OF N BALLS IN A BILLIARD TABLE [J].

BUNIMOVICH, L ;

LIVERANI, C ;

PELLEGRINOTTI, A ;

SUHOV, Y .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1992, 146 (02) :357-396

[7] Temperature profiles in Hamiltonian heat conduction [J].

Eckmann, JP ;

Young, LS .

EUROPHYSICS LETTERS, 2004, 68 (06) :790-796

[8]

LUKKARINEN J, 2001, ARXIV09013283V1MATHP

[9] Coupled normal heat and matter transport in a simple model system [J].

Mejía-Monasterio, C ;

Larralde, H ;

Leyvraz, F .

PHYSICAL REVIEW LETTERS, 2001, 86 (24) :5417-5420