Percolation and cluster distribution. II. layers, variable-range interactions, and exciton cluster model
dc.contributor.author | Hoshen, Joseph | en_US |
dc.contributor.author | Kopelman, Raoul | en_US |
dc.contributor.author | Monberg, Eric M. | en_US |
dc.date.accessioned | 2006-09-11T15:43:00Z | |
dc.date.available | 2006-09-11T15:43:00Z | |
dc.date.issued | 1978-09 | en_US |
dc.identifier.citation | Hoshen, J.; Kopelman, R.; Monberg, E. M.; (1978). "Percolation and cluster distribution. II. layers, variable-range interactions, and exciton cluster model." Journal of Statistical Physics 19(3): 219-242. <http://hdl.handle.net/2027.42/45139> | en_US |
dc.identifier.issn | 0022-4715 | en_US |
dc.identifier.issn | 1572-9613 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/45139 | |
dc.description.abstract | Monte Carlo simulations for the site percolation problem are presented for lattices up to 64 x 10 6 sites. We investigate for the square lattice the variable-range percolation problem, where distinct trends with bond-length are found for the critical concentrations and for the critical exponents β and γ . We also investigate the layer problem for stacks of square lattices added to approach a simple cubic lattice, yielding critical concentrations as a functional of layer number as well as the correlation length exponent ν . We also show that the exciton migration probability for a common type of ternary lattice system can be described by a cluster model and actually provides a cluster generating function. | en_US |
dc.format.extent | 1079327 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 | Exciton Migration | 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 | Percolation | en_US |
dc.subject.other | Critical Exponents | en_US |
dc.subject.other | Cluster Model | en_US |
dc.subject.other | Critical Concentration | en_US |
dc.title | Percolation and cluster distribution. II. layers, variable-range interactions, and exciton cluster model | 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, Ann Arbor, Michigan | en_US |
dc.contributor.affiliationum | Department of Chemistry, University of Michigan, Ann Arbor, Michigan | en_US |
dc.contributor.affiliationum | Department of Chemistry, University of Michigan, Ann Arbor, Michigan | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/45139/1/10955_2005_Article_BF01011724.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF01011724 | en_US |
dc.identifier.source | Journal of Statistical Physics | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
Files in this item
Remediation of Harmful Language
The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.
Accessibility
If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.