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Stochastic wave-kinetic theory in the Liouville approximation

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dc.contributorVirginia Techen
dc.contributor.authorBesieris, Ioannis M.en
dc.contributor.authorTappert, F. D.en
dc.contributor.departmentElectrical and Computer Engineeringen
dc.date.accessed2014-03-20en
dc.date.accessioned2014-04-09T18:12:27Zen
dc.date.available2014-04-09T18:12:27Zen
dc.date.issued1976-05-01en
dc.description.abstractThe behavior of scalar wave propagation in a wide class of asymptotically conservative, dispersive, weakly inhomogeneous and weakly nonstationary, anisotropic,random media is investigated on the basis of a stochastic, collisionless, Liouville_type equation governing the temporal evolution of a phase_space Wigner distribution density function. Within the framework of the first_order smoothing approximation, a general diffusion-convolution_type kinetic or transport equation is derived for the mean phase_space distribution function containing generalized (nonloral, with memory) diffusion,friction, and absorption operators in phase space. Various levels of simplification are achieved by introducing additional constraints. In the long_time, Markovian, diffusion approximation, a general set of Fokker-Planck equations is derived. Finally, special cases of these equations are examined for spatially homogeneous systems and isotropic media.en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationBesieris, I. M.; Tappert, F. D., "Stochastic wave-kinetic theory in the Liouville approximation," J. Math. Phys. 17, 734 (1976); http://dx.doi.org/10.1063/1.522971en
dc.identifier.doihttps://doi.org/10.1063/1.522971en
dc.identifier.issn0022-2488en
dc.identifier.urihttp://hdl.handle.net/10919/47088en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jmp/17/5/10.1063/1.522971en
dc.language.isoenen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectDiffusionen
dc.subjectAnisotropyen
dc.subjectCollision theoriesen
dc.subjectCumulative distribution functionsen
dc.subjectDensity functional theoryen
dc.subjectFrictionen
dc.subjectOperator equationsen
dc.subjectRandom mediaen
dc.subjectWave propagationen
dc.titleStochastic wave-kinetic theory in the Liouville approximationen
dc.title.serialJournal of Mathematical Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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