pith. sign in

arxiv: math-ph/0303050 · v3 · submitted 2003-03-21 · 🧮 math-ph · cond-mat.stat-mech· math.MP

Perturbative analysis of anharmonic chains of oscillators out of equilibrium

classification 🧮 math-ph cond-mat.stat-mechmath.MP
keywords anharmoniccorrectionequilibriumfirst-orderharmonicheaton-sitepotential
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.