Spectral representations for the memory kernel characterizing self-diffusion
dc.contributor.author | Duderstadt, James J. | en_US |
dc.contributor.author | Mosteller, R. D. | en_US |
dc.date.accessioned | 2006-09-11T15:42:25Z | |
dc.date.available | 2006-09-11T15:42:25Z | |
dc.date.issued | 1974-11 | en_US |
dc.identifier.citation | Mosteller, R. D.; Duderstadt, J. J.; (1974). "Spectral representations for the memory kernel characterizing self-diffusion." Journal of Statistical Physics 11(5): 409-420. <http://hdl.handle.net/2027.42/45130> | en_US |
dc.identifier.issn | 1572-9613 | en_US |
dc.identifier.issn | 0022-4715 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/45130 | |
dc.description.abstract | Approximate spectral representations are developed for the memory kernel which characterizes self-diffusion. These spectral representations are based upon approximate eigenfunctions constructed via the Rayleigh variational principle. A heuristic model is developed first in an effort to provide physical insight into the nature of the approximations employed, and then a number of specific trial functions are examined. These trial functions include sums of identical one- and two-particle functions as well as linear combinations of hydrodynamical variables. The results from these spectral representations indicate that the long-time behavior of the memory kernel (and thereby of the momentum autocorrelation function) is sensitive to the long-range effects of the interparticle potential. In addition, the equivalence of most of these spectral representations to specific low-order perturbation approximations is demonstrated. | en_US |
dc.format.extent | 511818 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Kluwer Academic Publishers-Plenum Publishers; Plenum Publishing Corporation ; Springer Science+Business Media | en_US |
dc.subject.other | Mathematical and Computational Physics | en_US |
dc.subject.other | Memory Kernel Equations | en_US |
dc.subject.other | Physics | en_US |
dc.subject.other | Physical Chemistry | en_US |
dc.subject.other | Quantum Physics | en_US |
dc.subject.other | Statistical Physics | en_US |
dc.subject.other | Brownian Motion | en_US |
dc.subject.other | Markovian Approximations | en_US |
dc.subject.other | Momentum Autocorrelation Function | en_US |
dc.subject.other | Projection Operator Formalisms | en_US |
dc.subject.other | Self-diffusion | en_US |
dc.title | Spectral representations for the memory kernel characterizing self-diffusion | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Nuclear Engineering, The University of Michigan, Ann Arbor, Michigan | en_US |
dc.contributor.affiliationother | Department of Nuclear Science and Engineering, The Catholic University of America, Washington, D.C. | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/45130/1/10955_2005_Article_BF01026732.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF01026732 | en_US |
dc.identifier.source | Journal of Statistical Physics | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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