Conformal approach to cylindrical DLA (Articolo in rivista)

Type
Label
  • Conformal approach to cylindrical DLA (Articolo in rivista) (literal)
Anno
  • 2006-01-01T00:00:00+01:00 (literal)
Alternative label
  • Taloni, A; Caglioti, E; Loreto, V; Pietronero, L (2006)
    Conformal approach to cylindrical DLA
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Taloni, A; Caglioti, E; Loreto, V; Pietronero, L (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Univ Camerino, Dipartimento Fis, I-62032 Camerino, Italy; Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy; Univ Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy; INFM, SMC, Unita Roma 1, Rome, Italy (literal)
Titolo
  • Conformal approach to cylindrical DLA (literal)
Abstract
  • We extend the conformal mapping approach elaborated for the radial diffusion limited aggregation model (DLA) to cylindrical geometry. We introduce in particular a complex function which allows a cylindrical cluster to be grown using as an intermediate step a radial aggregate. The aggregate grown exhibits the same self-affine features as the original cylindrical DLA. The specifc 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. (literal)
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