Scattering lengths and universality in superdiffusive Levy materials (Articolo in rivista)

Type
Label
  • Scattering lengths and universality in superdiffusive Levy materials (Articolo in rivista) (literal)
Anno
  • 2012-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1103/PhysRevE.86.031125 (literal)
Alternative label
  • Burioni R, di Santo S, Lepri S, Vezzani A (2012)
    Scattering lengths and universality in superdiffusive Levy materials
    in Physical review. E, Statistical, nonlinear, and soft matter physics (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Burioni R, di Santo S, Lepri S, Vezzani A (literal)
Pagina inizio
  • 031125 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 86 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 7 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 3 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Univ Parma, Dipartimento Fis, I-43100 Parma, Italy Ist Nazl Fis Nucl, Grp Collegato Parma, I-43100 Parma, Italy CNR Ist Sistemi Complessi, I-50019 Sesto Fiorentino, Italy CNR Ist Nanosci, Ctr S3, I-41125 Modena, Italy (literal)
Titolo
  • Scattering lengths and universality in superdiffusive Levy materials (literal)
Abstract
  • We study the effects of scattering lengths on Levy walks in quenched, one-dimensional random and fractal quasilattices, with scatterers spaced according to a long-tailed distribution. By analyzing the scaling properties of the random-walk probability distribution, we show that the effect of the varying scattering length can be reabsorbed in the multiplicative coefficient of the scaling length. This leads to a superscaling behavior, where the dynamical exponents and also the scaling functions do not depend on the value of the scattering length. Within the scaling framework, we obtain an exact expression for the multiplicative coefficient as a function of the scattering length both in the annealed and in the quenched random and fractal cases. Our analytic results are compared with numerical simulations, with excellent agreement, and are supposed to hold also in higher dimensions. (literal)
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