Energy transport in stochastically perturbed lattice dynamics

Details Energy transport in stochastically perturbed lattice dynamics Energy transport in stochastically perturbed lattice dynamics

2008-05-20

arxiv.org/abs/0805.3012v2

Archive for Rational Mechanics and Analysis online (2009) online

Mathematics

Probability

Changed title and introduction

Scientific paper

10.1007/s00205-008-0205-6

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.

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