Kinetic Limit for Wave Propagation in a Random Medium

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dc.creatorLukkarinen, Jani
dc.creatorSpohn, Herbert
dc.date2005-05-27
dc.date.accessioned2026-07-07T06:33:29Z
dc.date.available2026-07-07T06:33:29Z
dc.descriptionWe study crystal dynamics in the harmonic approximation. The atomic masses are weakly disordered, in the sense that their deviation from uniformity is of order epsilon^(1/2). The dispersion relation is assumed to be a Morse function and to suppress crossed recollisions. We then prove that in the limit epsilon to 0 the disorder averaged Wigner function on the kinetic scale, time and space of order epsilon^(-1), is governed by a linear Boltzmann equation.
dc.description71 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0505075
dc.identifierhttp://arxiv.org/abs/math-ph/0505075
dc.identifierArch. Ration. Mech. Anal. 181 (2007) 93-162
dc.identifierdoi:10.1007/s00205-006-0005-9
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99206
dc.subjectMathematical Physics
dc.subjectDisordered Systems and Neural Networks
dc.subject82D30; 80M40; 74J20
dc.titleKinetic Limit for Wave Propagation in a Random Medium
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