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dc.contributor.authorPastor Satorras, Romualdo
dc.contributor.authorWagensberg, Jorge
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Física
dc.date.accessioned2019-01-14T10:04:42Z
dc.date.issued1996-02-15
dc.identifier.citationPastor-Satorras, R., Wagensberg, J. Branch distribution in diffusion-limited aggregation: a maximum entropy approach. "Physica A: statistical mechanics and its applications", 15 Febrer 1996, vol. 224, núm. 3-4, p. 463-479.
dc.identifier.issn0378-4371
dc.identifier.urihttp://hdl.handle.net/2117/126660
dc.description.abstractA new approach to the branching structure of diffusion-limited aggregation (DLA) clusters is proposed, in which the stress is laid not on the (traditionally used) order of the branches, but on their mass. The branch distribution n(s, M) (to be defined) of DLA is computed and its properties are compared with those found in self-similar deterministic fractal sets. A power-law behaviour is found in both cases. DLA also shows a striking corssover, which is independent of the cluster size. The Maximum Entropy formalism, a well-known method in statistical physics, is applied in order to derive the functional form of n(s, M). The fit is achieved by means of a constraint concerning the information in the ensemble of all DLA clusters. We believe this constraint is a preliminar hint towards a new conceptual framework for the study of fractal growth phenomena.
dc.format.extent17 p.
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Física
dc.subject.lcshMaximum entropy method
dc.subject.lcshStatistical physics
dc.subject.otherDLA Branch distribution Maximum entropy
dc.titleBranch distribution in diffusion-limited aggregation: a maximum entropy approach
dc.typeArticle
dc.subject.lemacEntropia
dc.subject.lemacFísica estadística
dc.contributor.groupUniversitat Politècnica de Catalunya. SC-SIMBIO - Sistemes complexos. Simulació discreta de materials i de sistemes biològics
dc.identifier.doi10.1016/0378-4371(95)00371-1
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/0378437195003711?via%3Dihub
dc.rights.accessRestricted access - publisher's policy
local.identifier.drac1230801
dc.description.versionPostprint (published version)
dc.date.lift10000-01-01
local.citation.authorPastor-Satorras, R.; Wagensberg, J.
local.citation.publicationNamePhysica A: statistical mechanics and its applications
local.citation.volume224
local.citation.number3-4
local.citation.startingPage463
local.citation.endingPage479


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Attribution-NonCommercial-NoDerivs 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain