Single random walker on disordered lattices
dc.contributor.author | Anacker, Lola W. | en_US |
dc.contributor.author | Argyrakis, Panos | en_US |
dc.contributor.author | Kopelman, Raoul | en_US |
dc.date.accessioned | 2006-09-11T15:43:36Z | |
dc.date.available | 2006-09-11T15:43:36Z | |
dc.date.issued | 1984-09 | en_US |
dc.identifier.citation | Argyrakis, P.; Anacker, L. W.; Kopelman, R.; (1984). "Single random walker on disordered lattices." Journal of Statistical Physics 36 (5-6): 579-589. <http://hdl.handle.net/2027.42/45148> | en_US |
dc.identifier.issn | 0022-4715 | en_US |
dc.identifier.issn | 1572-9613 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/45148 | |
dc.description.abstract | Random walks on square lattice percolating clusters were followed for up to 2×105 steps. The mean number of distinct sites visited 〈 (S N ⊃> gives a spectral dimension of d s = 1.30±0.03 consistent with superuniversality ( d s =4J3) but closer to the alternative d s = 182/139, based on the low dimensionality correction. Simulations are also given for walkers on an energetically disordered lattice, with a jump probability that depends on the local energy mismatch and the temperature. An apparent fractal behavior is observed for a low enough reduced temperature. Above this temperature, the walker exhibits a “crossover” from fractal-to-Euclidean behavior. Walks on two- and three-dimensional lattices are similar, except that those in three dimensions are more efficient. | en_US |
dc.format.extent | 396345 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 | Quantum Physics | en_US |
dc.subject.other | Energetic Disorder | en_US |
dc.subject.other | Physics | en_US |
dc.subject.other | Physical Chemistry | en_US |
dc.subject.other | Mathematical and Computational Physics | en_US |
dc.subject.other | Statistical Physics | en_US |
dc.subject.other | Fractal | en_US |
dc.subject.other | Random Walk | en_US |
dc.subject.other | Percolation | en_US |
dc.subject.other | Spectral Dimension | en_US |
dc.title | Single random walker on disordered lattices | 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 Chemistry, University of Michigan, 48109, Ann Arbor, Michigan | en_US |
dc.contributor.affiliationum | Department of Chemistry, University of Michigan, 48109, Ann Arbor, Michigan | en_US |
dc.contributor.affiliationother | Department of Physics, University of Crete, Iraklion, Crete, Greece | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/45148/1/10955_2005_Article_BF01012923.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF01012923 | en_US |
dc.identifier.source | Journal of Statistical Physics | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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