Origins of Diffusion

Details Origins of Diffusion Origins of Diffusion

2010-05-04

arxiv.org/abs/1005.0588v1

Physics

Mathematical Physics

ICM-2010 talk

Scientific paper

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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