Transport properties and ageing for the averaged L\'evy-Lorentz gas
- Resource Type
- Authors
- Mattia Radice; Giampaolo Cristadoro; Roberto Artuso; Manuele Onofri
- Source
- Subject
- records
Statistics and Probability
Physics
ageing
anomalous transport
Levy Lorentz gas
persistent random walk
Lorentz transformation
Mathematical analysis
Disordered systems, Persistent random walks, Anomalous diffusion
General Physics and Astronomy
Statistical and Nonlinear Physics
MAT/07 - FISICA MATEMATICA
Random walk
Mean squared displacement
symbols.namesake
Modeling and Simulation
Reflection (physics)
symbols
Mathematical Physics
Condensed Matter - Statistical Mechanics
- Language
- English
We consider a persistent random walk on an inhomogeneous environment where the reflection probability depends only on the distance from the origin. Such an environment is the result of an average over all realizations of disorder of a L\'evy-Lorentz (LL) gas. Here we show that this averaged L\'evy-Lorentz gas yields nontrivial results even when the related LL gas is trivial. In particular, we investigate its long time transport properties such as the mean square displacement and the statistics of records, as well as the occurrence of ageing phenomena.
Comment: 16 pages, 6 figures