Growth of resistance with density of scatterers in one dimensional wave propagation
dc.contributor.author | Felderhof, B. U. | en_US |
dc.contributor.author | Ford, G. W. | en_US |
dc.date.accessioned | 2006-09-11T15:43:51Z | |
dc.date.available | 2006-09-11T15:43:51Z | |
dc.date.issued | 1986-11 | en_US |
dc.identifier.citation | Felderhof, B. U.; Ford, G. W.; (1986). "Growth of resistance with density of scatterers in one dimensional wave propagation." Journal of Statistical Physics 45 (3-4): 695-714. <http://hdl.handle.net/2027.42/45152> | en_US |
dc.identifier.issn | 1572-9613 | en_US |
dc.identifier.issn | 0022-4715 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/45152 | |
dc.description.abstract | We study wave propagation in a one-dimensional disordered array of scattering potentials. We consider three different ensembles of scatterer configurations: an N -ensemble with a fixed number N of scatterers, an L -ensemble with a varying number of scatterers distributed over a fixed length L , and an NL -ensemble where both N and L are fixed. The latter ensemble allows a detailed study of the mean resistance and its variance for a fixed length L as the number of scatterers N increases. We find that the Landauer result, which predicts an exponential increase of the mean resistance with N , is valid only in the low-density regime. At high density the mean resistance grows exponentially with √ N and the concept of optical potential applies. In the crossover regime we find an interesting resonance. | en_US |
dc.format.extent | 760546 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 | One-dimensional Conduction | en_US |
dc.subject.other | Mathematical and Computational Physics | en_US |
dc.subject.other | Physical Chemistry | en_US |
dc.subject.other | Physics | en_US |
dc.subject.other | Quantum Physics | en_US |
dc.subject.other | Statistical Physics | en_US |
dc.subject.other | Mean | en_US |
dc.subject.other | Variance of Resistance | en_US |
dc.title | Growth of resistance with density of scatterers in one dimensional wave propagation | 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 Physics, University of Michigan, 48109, Ann Arbor, Michigan | en_US |
dc.contributor.affiliationother | Institut für Theoretische Physik A, RWTH Aachen, 5100, Aachen, West Germany | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/45152/1/10955_2005_Article_BF01021091.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF01021091 | en_US |
dc.identifier.source | Journal of Statistical Physics | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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