Local stationarity for lattice dynamics in the harmonic approximation

Simple item page
dc.creatorDudnikova, T. V.
dc.creatorSpohn, H.
dc.date2005-05-10
dc.date.accessioned2026-07-07T04:32:06Z
dc.date.available2026-07-07T04:32:06Z
dc.descriptionWe consider the lattice dynamics in the harmonic approximation for We consider the lattice dynamics in the harmonic approximation for a simple hypercubic lattice with arbitrary unit cell. The initial data are random according to a probability measure which enforces slow spatial variation on the linear scale $ε^{-1}$. We establish two time regimes. For times of order $ε^{-γ}$, $0<γ<1$, locally the measure converges to a Gaussian measure which is space-time stationary with a covariance inherited from the initial (in general, non-Gaussian) measure. For times of order $ε^{-1}$ this local space covariance changes in time and is governed by a semiclassical transport equation.
dc.identifierhttps://arxiv.org/abs/math-ph/0505031
dc.identifierhttp://arxiv.org/abs/math-ph/0505031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58064
dc.subjectMathematical Physics
dc.titleLocal stationarity for lattice dynamics in the harmonic approximation
dc.typetext

Files

Collections

arXiv