Exact Results for the Universal Area Distribution of Clusters in Percolation, Ising, and Potts Models
dc.contributor.author | Cardy, John | en_US |
dc.contributor.author | Ziff, Robert M. | en_US |
dc.date.accessioned | 2006-09-11T15:42:29Z | |
dc.date.available | 2006-09-11T15:42:29Z | |
dc.date.issued | 2003-01 | en_US |
dc.identifier.citation | Cardy, John; Ziff, Robert M.; (2003). "Exact Results for the Universal Area Distribution of Clusters in Percolation, Ising, and Potts Models." Journal of Statistical Physics 110 (1-2): 1-33. <http://hdl.handle.net/2027.42/45131> | en_US |
dc.identifier.issn | 0022-4715 | en_US |
dc.identifier.issn | 1572-9613 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/45131 | |
dc.description.abstract | At the critical point in two dimensions, the number of percolation clusters of enclosed area greater than A is proportional to A −1 , with a proportionality constant C that is universal. We show theoretically (based upon Coulomb gas methods), and verify numerically to high precision, that . We also derive, and verify to varying precision, the corresponding constant for Ising spin clusters, and for Fortuin–Kasteleyn clusters of the Q = 2, 3 and 4-state Potts models. | en_US |
dc.format.extent | 423186 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 | Universality | en_US |
dc.subject.other | Quantum Physics | en_US |
dc.subject.other | Statistical Physics | 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 | Ising Model | en_US |
dc.subject.other | Potts Model | en_US |
dc.subject.other | Conformal Field Theory | en_US |
dc.subject.other | Coulomb Gas Methods | en_US |
dc.title | Exact Results for the Universal Area Distribution of Clusters in Percolation, Ising, and Potts Models | 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 | Michigan Center for Theoretical Physics and Department of Chemical Engineering, University of Michigan, Ann Arbor, Michigan, 48109-2136 | en_US |
dc.contributor.affiliationother | Department of Physics, Theoretical Physics, 1 Keble Road, Oxford, OX1 3NP, United Kingdom; All Souls College, Oxford, United Kingdom | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/45131/1/10955_2004_Article_453992.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1023/A:1021069209656 | en_US |
dc.identifier.source | Journal of Statistical Physics | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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