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Expansion Theorem for the Linearized Fokker‐Planck Equation
dc.contributor.authorLewis, Jordan Daviden_US
dc.date.accessioned2010-05-06T22:26:43Z
dc.date.available2010-05-06T22:26:43Z
dc.date.issued1967-04en_US
dc.identifier.citationLewis, Jordan D. (1967). "Expansion Theorem for the Linearized Fokker‐Planck Equation." Journal of Mathematical Physics 8(4): 791-798. <http://hdl.handle.net/2027.42/70618>en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/70618
dc.description.abstractThe linearized Fokker‐Planck kinetic equation for each component of a homogeneous, nondegenerate, fully ionized plasma is separated by means of a spherical harmonic expansion into an infinite set of singular intergo‐differential equations. Each equation is shown to generate a continuous set of eigen‐functions, for which asymptotic high‐speed forms are found. By extending the theory of singular differential equations an expansion formula is developed, which is shown to be complete with respect to functions square integrable in velocity space.en_US
dc.format.extent3102 bytes
dc.format.extent505881 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/pdf
dc.publisherThe American Institute of Physicsen_US
dc.rights© The American Institute of Physicsen_US
dc.titleExpansion Theorem for the Linearized Fokker‐Planck Equationen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Nuclear Engineering, University of Michigan, Ann Arbor, Michiganen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/70618/2/JMAPAQ-8-4-791-1.pdf
dc.identifier.doi10.1063/1.1705278en_US
dc.identifier.sourceJournal of Mathematical Physicsen_US
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dc.identifier.citedreferenceReference 2, p. 85.en_US
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dc.identifier.citedreferenceI. M. Glazman, Direct Methods of Qualitative Spectral Analysis of Singular Differential Operators (Daniel Davey & Co., New York, 1966).en_US
dc.identifier.citedreferenceE. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations (McGraw‐Hill Book Company, Inc., New York, 1955), Chap. 9.en_US
dc.identifier.citedreferenceJ. D. Tamarkin, Trans. Am. Math. Soc. 29, 755 (1927).en_US
dc.identifier.citedreferenceG. E. Uhlenbeck and G. W. Ford, Lectures in Statistical Mechanics (American Mathematical Society, Providence, Rhode Island, 1963), p. 88.en_US
dc.owningcollnamePhysics, Department of


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