Fractal chemical kinetics: Reacting random walkers
dc.contributor.author | Newhouse, James S. | en_US |
dc.contributor.author | Kopelman, Raoul | en_US |
dc.contributor.author | Anacker, Lola W. | en_US |
dc.date.accessioned | 2006-09-11T15:43:40Z | |
dc.date.available | 2006-09-11T15:43:40Z | |
dc.date.issued | 1984-09 | en_US |
dc.identifier.citation | Anacker, L. W.; Kopelman, R.; Newhouse, J. S.; (1984). "Fractal chemical kinetics: Reacting random walkers." Journal of Statistical Physics 36 (5-6): 591-602. <http://hdl.handle.net/2027.42/45149> | en_US |
dc.identifier.issn | 0022-4715 | en_US |
dc.identifier.issn | 1572-9613 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/45149 | |
dc.description.abstract | Computer simulations on binary reactions of random walkers ( A + A → A ) on fractal spaces bear out a recent conjecture: ( ρ −1 − ρ 0 −1 ) ∞ t f , where ρ is the instantaneous walker density and ρ 0 the initial one, and f = d s /2, where d s is the spectral dimension. For the Sierpinski gaskets: d =2, 2 f =1.38 ( d s =1.365); d =3, 2 f =1.56 ( d s =1.547); biased initial random distributions are compared to unbiased ones. For site percolation: d = 2, p =0.60, 2 f = 1.35 ( d s =1.35); d=3, p =0.32, 2 f =1.37 ( d s =1.4); fractal-to-Euclidean crossovers are also observed. For energetically disordered lattices, the effective 2 f (from reacting walkers) and d s (from single walkers) are in good agreement, in both two and three dimensions. | en_US |
dc.format.extent | 498549 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 | Statistical Physics | en_US |
dc.subject.other | Energy Disorder | en_US |
dc.subject.other | Reacting Random Walkers | 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 | Fractal | en_US |
dc.subject.other | Spectral Dimension | en_US |
dc.subject.other | Sierpinski Gasket | en_US |
dc.subject.other | Percolation | en_US |
dc.title | Fractal chemical kinetics: Reacting random walkers | 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.affiliationum | Department of Chemistry, University of Michigan, 48109, Ann Arbor, Michigan | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/45149/1/10955_2005_Article_BF01012924.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF01012924 | en_US |
dc.identifier.source | Journal of Statistical Physics | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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