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On the fractal characteristics of the [eta] model
dc.contributor.authorSanchez, Angelen_US
dc.contributor.authorGuinea, Franciscoen_US
dc.contributor.authorLouis, Enriqueen_US
dc.contributor.authorHakim, Vincenten_US
dc.date.accessioned2006-04-10T14:57:50Z
dc.date.available2006-04-10T14:57:50Z
dc.date.issued1992-12-15en_US
dc.identifier.citationSanchez, Angel, Guinea, Francisco, Louis, Enrique, Hakim, Vincent (1992/12/15)."On the fractal characteristics of the [eta] model." Physica A: Statistical and Theoretical Physics 191(1-4): 123-127. <http://hdl.handle.net/2027.42/29679>en_US
dc.identifier.urihttp://www.sciencedirect.com/science/article/B6TVG-46J64M5-57/2/8a9f7b4820681de122b78b62979f604aen_US
dc.identifier.urihttps://hdl.handle.net/2027.42/29679
dc.description.abstractSince the [eta] or dielectric breakdown model was proposed, it has been generally accepted that the fractal characteristics of the so-grown clusters have a smooth behavior as [eta] increases from 0 to infinity. On the basis of recent theoretical calculations on a related model, we conjecture that the aggregate can become effectively branchless for [eta] larger than a critical value [eta]1. A related possibility is that the value 1 for the fractal dimension might be reached at finite values of [eta]. We have carried out a large simulation program to test these conjectures and we find evidence supporting their validity. This is a preliminary report of our work on this problem.en_US
dc.format.extent314745 bytes
dc.format.extent3118 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherElsevieren_US
dc.titleOn the fractal characteristics of the [eta] modelen_US
dc.typeArticleen_US
dc.rights.robotsIndexNoFollowen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumInstituto de Ciencia de Materiales, Facultad de Ciencias C-XII, Universidad Autónoma, Canto Blanco, E-28049, Madrid, Spain; Harrison M. Randall Laboratory of Physics, The University of Michigan, Ann Arbor, MI 48109-1120, USA.en_US
dc.contributor.affiliationotherDepartamento de Física Teórica I, Facultad de Ciencias Físicas, Universidad Complutense, E-28040, Madrid, Spain; Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM 87545, USA.en_US
dc.contributor.affiliationotherDepartamento de Física Aplicada, Universidad de Alicante, Apartado 99, E-03080, Alicante, Spainen_US
dc.contributor.affiliationotherLaboratoire de Physique Statistique, ENS et Universités Paris VI et VII, 24 Rue Lhomond, 75231, Paris Cedex 05, Franceen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/29679/1/0000006.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1016/0378-4371(92)90515-Ren_US
dc.identifier.sourcePhysica A: Statistical and Theoretical Physicsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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