Conformal approach to cylindrical DLA

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dc.creatorTaloni, Alessandro
dc.creatorCaglioti, Emanuele
dc.creatorLoreto, Vittorio
dc.creatorPietronero, Luciano
dc.date2006-08-02
dc.date.accessioned2026-07-07T07:19:31Z
dc.date.available2026-07-07T07:19:31Z
dc.descriptionWe extend the conformal mapping approach elaborated for the radial Diffusion Limited Aggregation model (DLA) to the cylindrical geometry. We introduce in particular a complex function which allows to grow a cylindrical cluster using as intermediate step a radial aggregate. The grown aggregate exhibits the same self-affine features of the original cylindrical DLA. The specific choice of the transformation allows us to study the relationship between the radial and the cylindrical geometry. In particular the cylindrical aggregate can be seen as a radial aggregate with particles of size increasing with the radius. On the other hand the radial aggregate can be seen as a cylindrical aggregate with particles of size decreasing with the height. This framework, which shifts the point of view from the geometry to the size of the particles, can open the way to more quantitative studies on the relationship between radial and cylindrical DLA.
dc.description16 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0608067
dc.identifierhttp://arxiv.org/abs/cond-mat/0608067
dc.identifierJ. Stat. Mech. (2006) P09004
dc.identifierdoi:10.1088/1742-5468/2006/09/P09004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114654
dc.subjectStatistical Mechanics
dc.titleConformal approach to cylindrical DLA
dc.typetext

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