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Crossover From Self-Similar to Self-Affine Structures in Percolation

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dc.contributor.authorFrey, E.en
dc.contributor.authorTäuber, Uwe C.en
dc.contributor.authorSchwabl, Franzen
dc.contributor.departmentCenter for Soft Matter and Biological Physicsen
dc.contributor.departmentPhysicsen
dc.date.accessioned2019-12-29T14:38:19Zen
dc.date.available2019-12-29T14:38:19Zen
dc.date.issued1994-05-20en
dc.date.updated2019-12-29T14:38:17Zen
dc.description.abstractWe study the crossover from self-similar scaling behavior to asymptotically self-affine (anisotropic) structures. As an example, we consider bond percolation with one preferred direction. Our theory is based on a field-theoretical representation, and takes advantage of a renormalization group approach designed for crossover phenomena. We calculate effective exponents for the connectivity describing the entire crossover region from isotropic to directed percolation, and predict at which scale of the anisotropy the crossover should occur. We emphasize the broad range of applicability of our method.en
dc.description.notes6 pages, RevTeX, 1 figure (upon request: frey@physik.tu-muenchen.de or tauber@cmt.harvard.edu), EF/UCT--94/1, to be published in Europhys. Lett. (1994)en
dc.description.versionPublished versionen
dc.format.extentPages 413-418en
dc.format.extent6 page(s)en
dc.identifier.doihttps://doi.org/10.1209/0295-5075/26/6/003en
dc.identifier.eissn1286-4854en
dc.identifier.issn0295-5075en
dc.identifier.issue6en
dc.identifier.orcidTauber, Uwe [0000-0001-7854-2254]en
dc.identifier.otherNN352en
dc.identifier.urihttp://hdl.handle.net/10919/96229en
dc.identifier.volume26en
dc.language.isoenen
dc.publisherEditions Physiqueen
dc.relation.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1994NN35200003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.relation.urihttps://doi.org/10.1209/0295-5075/26/6/003en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectPhysical Sciencesen
dc.subjectPhysics, Multidisciplinaryen
dc.subjectPhysicsen
dc.subjectRENORMALIZED FIELD-THEORYen
dc.subjectDIPOLAR FERROMAGNETSen
dc.subjectCRITICAL-DYNAMICSen
dc.subjectSTATIC CROSSOVERen
dc.subjectMODELSen
dc.subjectCOEXISTENCEen
dc.subjectcond-maten
dc.subject01 Mathematical Sciencesen
dc.subject02 Physical Sciencesen
dc.subjectFluids & Plasmasen
dc.titleCrossover From Self-Similar to Self-Affine Structures in Percolationen
dc.title.serialEurophysics Lettersen
dc.typeArticle - Refereeden
dc.type.otherArticleen
dc.type.otherJournalen
pubs.organisational-group/Virginia Tech/Scienceen
pubs.organisational-group/Virginia Tech/All T&R Facultyen
pubs.organisational-group/Virginia Tech/Science/Physicsen
pubs.organisational-group/Virginia Tech/Science/COS T&R Facultyen
pubs.organisational-group/Virginia Techen

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