Energy transport in stochastically perturbed lattice dynamics

Simple item page
dc.creatorBasile, Giada
dc.creatorOlla, Stefano
dc.creatorSpohn, Herbert
dc.date2008-05-20
dc.date2008-09-12
dc.date.accessioned2026-07-07T12:48:20Z
dc.date.available2026-07-07T12:48:20Z
dc.descriptionWe 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.
dc.descriptionChanged title and introduction
dc.identifierhttps://arxiv.org/abs/0805.3012
dc.identifierhttp://arxiv.org/abs/0805.3012
dc.identifierArchive for Rational Mechanics and Analysis online (2009) online
dc.identifierdoi:10.1007/s00205-008-0205-6
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222019
dc.subjectProbability
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.subject82C21; 82C70; 82C31
dc.titleEnergy transport in stochastically perturbed lattice dynamics
dc.typetext

Files

Collections

arXiv