We consider lattice dynamics with a small stochastic perturbation of order e and prove that for a space-time scale of order epsilon(-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/root t, for the energy current correlation in equilibrium. This is in agreement with previous studies using a different method.
Energy transport in stochastically perturbed lattice dynamics / Basile, Giada; S., Olla; H., Spohn. - In: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. - ISSN 0003-9527. - 195:(2010), pp. 171-203. [10.1007/s00205-008-0205-6]
Energy transport in stochastically perturbed lattice dynamics
BASILE, GIADA;
2010
Abstract
We consider lattice dynamics with a small stochastic perturbation of order e and prove that for a space-time scale of order epsilon(-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/root t, for the energy current correlation in equilibrium. This is in agreement with previous studies using a different method.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
