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A comparison of projection operator formalisms for the study of self-diffusion

dc.contributor.authorMosteller, R. D.en_US
dc.contributor.authorDuderstadt, James J.en_US
dc.date.accessioned2006-09-11T15:45:20Z
dc.date.available2006-09-11T15:45:20Z
dc.date.issued1973-11en_US
dc.identifier.citationMosteller, R. D.; Duderstadt, J. J.; (1973). "A comparison of projection operator formalisms for the study of self-diffusion." Journal of Statistical Physics 9(3): 197-213. <http://hdl.handle.net/2027.42/45173>en_US
dc.identifier.issn1572-9613en_US
dc.identifier.issn0022-4715en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/45173
dc.description.abstractThe utility of projection operator formalisms for describing the dynamics of many-body systems is studied, and the compatibility of these formalisms with certain approximation schemes is evaluated in the light of known behavior of such systems. For simplicity the investigation is limited to the study of Brownian motion. Specifically, a memory kernel formalism and a kinetic equation formalism are compared for the calculation of the time evolution of the momentum autocorrelation function. Both perturbation expansions and averaged propagator approximations are investigated. The results from these studies suggest that the long-time behavior of the momentum autocorrelation function is sensitive to the long-range nature of the interparticle potential.en_US
dc.format.extent754680 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherKluwer Academic Publishers-Plenum Publishers; Plenum Publishing Corporation ; Springer Science+Business Mediaen_US
dc.subject.otherMathematical and Computational Physicsen_US
dc.subject.otherSelf-diffusionen_US
dc.subject.otherMarkovian Approximationsen_US
dc.subject.otherPhysicsen_US
dc.subject.otherPhysical Chemistryen_US
dc.subject.otherQuantum Physicsen_US
dc.subject.otherStatistical Physicsen_US
dc.subject.otherBrownian Motionen_US
dc.subject.otherKinetic Equationen_US
dc.subject.otherMemory Kernel Equationen_US
dc.subject.otherMomentum Autocorrelation Functionen_US
dc.subject.otherProjection Operator Formalismsen_US
dc.titleA comparison of projection operator formalisms for the study of self-diffusionen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Nuclear Engineering, The University of Michigan, Ann Arbor, Michigan; Department of Nuclear Science and Engineering, The Catholic University of America, Washington, D.C.en_US
dc.contributor.affiliationumDepartment of Nuclear Engineering, The University of Michigan, Ann Arbor, Michiganen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/45173/1/10955_2005_Article_BF01008728.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/BF01008728en_US
dc.identifier.sourceJournal of Statistical Physicsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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