Energy transport in stochastically perturbed lattice dynamics
Probability
2009-03-04 v2 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
We consider lattice dynamics with a small stochastic perturbation of order ε and prove that for a space-time scale of order \varepsilon\^-1 the local spectral density (Wigner function) evolves according to a linear transport equation describing inelastic collisions. For an energy and momentum conserving chain the transport equation predicts a slow decay, as 1/\sqrt{t}, for the energy current correlation in equilibrium. This is in agreement with previous studies using a different method.
Keywords
Cite
@article{arxiv.0805.3012,
title = {Energy transport in stochastically perturbed lattice dynamics},
author = {Giada Basile and Stefano Olla and Herbert Spohn},
journal= {arXiv preprint arXiv:0805.3012},
year = {2009}
}
Comments
Changed title and introduction