Transport and scaling in quenched two- and three-dimensional Lévy quasicrystals (Articolo in rivista)

Type
Label
  • Transport and scaling in quenched two- and three-dimensional Lévy quasicrystals (Articolo in rivista) (literal)
Anno
  • 2011-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1103/PhysRevE.84.021105 (literal)
Alternative label
  • Buonsante P.; Burioni R.; Vezzani A. (2011)
    Transport and scaling in quenched two- and three-dimensional Lévy quasicrystals
    in Physical review. E, Statistical, nonlinear and soft matter physics (Online)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Buonsante P.; Burioni R.; Vezzani A. (literal)
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  • http://www.scopus.com/inward/record.url?eid=2-s2.0-80051615045&partnerID=q2rCbXpz (literal)
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  • 84 (literal)
Rivista
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  • 2 (literal)
Note
  • Scopu (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Dipartimento di Fisica, Università degli Studi di Parma, Viale Usberti 7/a, I-43124 Parma, Italy; INFN, Gruppo Collegato di Parma, viale G. P. Usberti 7/A, 43100 Parma, Italy; Centro S3, CNR-Istituto di Nanoscienze, via Campi 213A, 41125 Modena, Italy (literal)
Titolo
  • Transport and scaling in quenched two- and three-dimensional Lévy quasicrystals (literal)
Abstract
  • We consider correlated Lévy walks on a class of two- and three-dimensional deterministic self-similar structures, with correlation between steps induced by the geometrical distribution of regions, featuring different diffusion properties. We introduce a geometric parameter ?, playing a role analogous to the exponent characterizing the step-length distribution in random systems. By a single-long-jump approximation, we analytically determine the long-time asymptotic behavior of the moments of the probability distribution as a function of ? and of the dynamic exponent z associated with the scaling length of the process. We show that our scaling analysis also applies to experimentally relevant quantities such as escape-time and transmission probabilities. Extensive numerical simulations corroborate our results which, in general, are different from those pertaining to uncorrelated Lévy-walk models. © 2011 American Physical Society. (literal)
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