Macroscopic diffusion from a Hamilton-like dynamics

Autor:	Lefevere, Raphael
Rok vydání:	2012
Předmět:	Mathematical Physics Condensed Matter - Statistical Mechanics Mathematics - Probability Nonlinear Sciences - Chaotic Dynamics
Druh dokumentu:	Working Paper
DOI:	10.1007/s10955-013-0738-4
Popis:	We introduce and analyze a model for the transport of particles or energy in extended lattice systems. The dynamics of the model acts on a discrete phase space at discrete times but has nonetheless some of the characteristic properties of Hamiltonian dynamics in a confined phase space : it is deterministic, periodic, reversible and conservative. Randomness enters the model as a way to model ignorance about initial conditions and interactions between the components of the system. The orbits of the particles are non-intersecting random loops. We prove, by a weak law of large number, the validity of a diffusion equation for the macroscopic observables of interest for times that are arbitrary large, but small compared to the minimal recurrence time of the dynamics. Comment: typos corrected, figure improved
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1211.0608 Zobrazit plný text záznamu View this record from Arxiv