Energy Transfer and Joint Diffusion
Mathematical Physics
2010-08-06 v1 math.MP
Probability
Abstract
A paradigm model is suggested for describing the diffusive limit of trajectories of two Lorentz disks moving in a finite horizon periodic configuration of smooth, strictly convex scatterers and interacting with each other via elastic collisions. For this model the diffusive limit of the two trajectories is a mixture of joint Gaussian laws (analogous behavior is expected for the mechanical model of two Lorentz disks).
Cite
@article{arxiv.1008.0940,
title = {Energy Transfer and Joint Diffusion},
author = {Zsolt Pajor-Gyulai and Domokos Szász},
journal= {arXiv preprint arXiv:1008.0940},
year = {2010}
}
Comments
31 pages