Diffusion in Energy Conserving Coupled Maps

2011/02/18 by Jean Bricmont, Antti Kupiainen, A. Kupiainen +2 · 1 citation
Mathematics · Physics and Astronomy · #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #Stochastic processes and statistical mechanics #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1102.3831

arxiv created 2012/09/09 · arxiv updated 2012/09/11

Abstract

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 subsystem energies satisfy the diffusion equation in a suitable scaling limit.

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