http://www.cnr.it/ontology/cnr/individuo/prodotto/ID284274
Anomalous transmission and drifts in one-dimensional Lévy structures (Articolo in rivista)
- Type
- Label
- Anomalous transmission and drifts in one-dimensional Lévy structures (Articolo in rivista) (literal)
- Anno
- 2014-01-01T00:00:00+01:00 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
- 10.1016/j.chaos.2014.06.002 (literal)
- Alternative label
Bernabo P.[ 1 ] ; Burioni R.[ 2 ] ; Lepri S.[ 3,4 ] ; Vezzani A.[ 2,5 ] (2014)
Anomalous transmission and drifts in one-dimensional Lévy structures
in Chaos, solitons and fractals
(literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
- Bernabo P.[ 1 ] ; Burioni R.[ 2 ] ; Lepri S.[ 3,4 ] ; Vezzani A.[ 2,5 ] (literal)
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- Available online 12 July 2014. (literal)
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- http://www.sciencedirect.com/science/article/pii/S0960077914000976 (literal)
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- ISI Web of Science (WOS) (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
- [ 1 ] Univ Pisa, Dipartimento Ingn Informaz, I-56122 Pisa, Italy
[ 2 ] Univ Parma, Dipartimento Fis, I-43100 Parma, Italy
[ 3 ] CNR, Ist Sistemi Complessi, I-50019 Sesto Fiorentino, Italy
[ 4 ] Ist Nazl Fis Nucl, Sez Firenze, I-50019 Sesto Fiorentino, Italy
[ 5 ] CNR, Ist Nanosci, Ctr S3, I-41125 Modena, Italy (literal)
- Titolo
- Anomalous transmission and drifts in one-dimensional Lévy structures (literal)
- Abstract
- We study the transmission of random walkers through a finite-size inhomogeneous material with a quenched, long-range correlated distribution of scatterers. We focus on a finite one-dimensional structure where walkers undergo random collisions with a subset of sites distributed on deterministic (Cantor-like) or random positions, with Lévy spaced distances. Using scaling arguments, we consider stationary and time-dependent transmission and we provide predictions on the scaling behavior of particle current as a function of the sample size. We show that, even in absence of bias, for each single realization a non-zero drift can be present, due to the intrinsic asymmetry of each specific arrangement of the scattering sites. For finite systems, this average drift is particularly important for characterizing the transmission properties of individual samples. The predictions are tested against the numerical solution of the associated master equation. A comparison of different boundary conditions is given. © 2014 Elsevier Ltd. All rights reserved. (literal)
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