Lévy-type diffusion on one-dimensional directed Cantor graphs (Articolo in rivista)

Type
Label
  • Lévy-type diffusion on one-dimensional directed Cantor graphs (Articolo in rivista) (literal)
Anno
  • 2010-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1103/PhysRevE.81.011127 (literal)
Alternative label
  • Burioni R.(1,2); Caniparoli L. (1); Lepri S. (3); Vezzani A. (4,1); (2010)
    Lévy-type diffusion on one-dimensional directed Cantor graphs
    in Physical review. E, Statistical, nonlinear, and soft matter physics (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Burioni R.(1,2); Caniparoli L. (1); Lepri S. (3); Vezzani A. (4,1); (literal)
Pagina inizio
  • 011127 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 81 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#note
  • American Physical Society. (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 8 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 1 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • 1) Dipartimento di Fisica, Università degli Studi di Parma, Viale G.P. Usberti 7/A, 43100 Parma, Italy; 2) INFN, Gruppo Collegato di Parma, Viale G.P. Usberti 7/A, 43100 Parma, Italy; 3) CNR-ISC, Istituto dei Sistemi Complessi, Consiglio Nazionale delle Ricerche, via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy; 4) CNR-INFM S3, Dipartimento di Fisica, Università di Modena e Reggio Emilia, Via G. Campi 213A, 41000 Modena, Italy; (literal)
Titolo
  • Lévy-type diffusion on one-dimensional directed Cantor graphs (literal)
Abstract
  • Lévy-type walks with correlated jumps, induced by the topology of the medium, are studied on a class of one-dimensional deterministic graphs built from generalized Cantor and Smith-Volterra-Cantor sets. The particle performs a standard random walk on the sets but is also allowed to move ballistically throughout the empty regions. Using scaling relations and the mapping onto the electric network problem, we obtain the exact values of the scaling exponents for the asymptotic return probability, the resistivity, and the mean-square displacement as a function of the topological parameters of the sets. Interestingly, the system undergoes a transition from superdiffusive to diffusive behavior as a function of the filling of the fractal. The deterministic topology also allows us to discuss the importance of the choice of the initial condition. In particular, we demonstrate that local and average measurements can display different asymptotic behavior. The analytic results are compared to the numerical solution of the master equation of the process. (literal)
Prodotto di
Autore CNR
Insieme di parole chiave

Incoming links:


Autore CNR di
Prodotto
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#rivistaDi
Insieme di parole chiave di
data.CNR.it