Transport properties and ageing for the averaged L\'evy-Lorentz gas

Autor:	Radice, Mattia, Onofri, Manuele, Artuso, Roberto, Cristadoro, Giampaolo
Rok vydání:	2018
Předmět:	Condensed Matter - Statistical Mechanics
Zdroj:	J. Phys A: Math. Theor. 53 (2020) 025701
Druh dokumentu:	Working Paper
DOI:	10.1088/1751-8121/ab5990
Popis:	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
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1811.10252 Zobrazit plný text záznamu View this record from Arxiv