Diffusion in Energy Conserving Coupled Maps

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.

References in corpus (3)

• Random walks in space time mixing environments
• Random Walk in deterministically changing environment
• On the derivation of Fourier's law for coupled anharmonic oscillators

Cited by in corpus (1)

• Diffusion for a quantum particle coupled to phonons in $d\ge 3$