Origins of Diffusion
Mathematical Physics
2010-05-05 v1 math.MP
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 long time dynamics of the subsystem energies is diffusive.
Cite
@article{arxiv.1005.0588,
title = {Origins of Diffusion},
author = {Antti Kupiainen},
journal= {arXiv preprint arXiv:1005.0588},
year = {2010}
}
Comments
ICM-2010 talk