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Article Dans Une Revue Archive for Rational Mechanics and Analysis Année : 2009

Energy transport in stochastically perturbed lattice dynamics

Résumé

We consider lattice dynamics with a small stochastic perturbation of order ε and prove that for a space-time scale of order ε−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/√t, for the energy current correlation in equilibrium. This is in agreement with previous studies using a different method.
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Dates et versions

hal-00280839 , version 1 (20-05-2008)
hal-00280839 , version 2 (12-09-2008)

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Giada Basile, Stefano Olla, Herbert Spohn. Energy transport in stochastically perturbed lattice dynamics. Archive for Rational Mechanics and Analysis, 2009, 195 (1), pp.171-203. ⟨10.1007/s00205-008-0205-6⟩. ⟨hal-00280839v2⟩
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