Perturbative analysis of anharmonic chains of oscillators out of equilibrium

Details Perturbative analysis of anharmonic chains of oscillators out of equilibrium Perturbative analysis of anharmonic chains of oscillators out of equilibrium

2003-03-21

arxiv.org/abs/math-ph/0303050v3

Physics

Mathematical Physics

26 pages, 2 figures, corrected typos

Scientific paper

10.1023/B:JOSS.0000028064.17281.

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.

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