Perturbative analysis of anharmonic chains of oscillators out of equilibrium
Mathematical Physics
2009-11-10 v3 Statistical Mechanics
math.MP
Abstract
We compute the first-order correction to the correlation functions of the stationary state of a stochastically forced harmonic chain out of equilibrium when a small on-site anharmonic potential is added. This is achieved by deriving a suitable formula for the covariance matrix of the invariant state. We find that the first-order correction of the heat current does not depend on the size of the system. Second, the temperature profile is linear when the harmonic part of the on-site potential is zero. The sign of the gradient of the profile, however, is opposite to the sign of the temperature difference of the two heat baths.
Keywords
Cite
@article{arxiv.math-ph/0303050,
title = {Perturbative analysis of anharmonic chains of oscillators out of equilibrium},
author = {R. Lefevere and A. Schenkel},
journal= {arXiv preprint arXiv:math-ph/0303050},
year = {2009}
}
Comments
26 pages, 2 figures, corrected typos