Tuesday's seminar at SISSA - errata corrige

[Cond.Matt. & Stat.Mech.Section]

JOINT ICTP/SISSA STATISTICAL PHYSICS SEMINAR

 

Tuesday, 14 February -   11:00 hrs.

 

SISSA, Santorio Building,   Room 128 (1st Floor)

  

R. BURIONI     ( Università di Parma)

  

"Transport and scaling in  superdiffusive Lévy materials"

 Abstract

 

Transport in strongly heterogeneous and disordered materials is often characterized by a Lévy behavior: interesting physical quantities are composed by a sequences of elementary contributions following a Lévy stable distribution, with an algebraic tail.

A key signature of processes occurring in these materials is that the steps are in principle not independent, as they are correlated by their mutual positions in the sample.  While uncorrelated Lévy walks are well understood, the correlation effects, which are expected to exert a deep influence on the diffusion properties, are still to be characterized.  We consider correlated Lévy walks on a class of deterministic and random Lévy structures modeled on recent experimental settings, with correlation between steps induced by their geometry. We characterize their superdiffusive behavior by a "single-long-jump approximation" and a scaling analysis, which applies to experimentally relevant quantities such as escape-time and transmission probabilities.  The problem of interference and quantum effects on these materials will be addressed as well.