TY - JOUR
T1 - One-dimensional stochastic Lévy-Lorentz gas
AU - Barkai, E.
AU - Fleurov, V.
AU - Klafter, J.
PY - 2000
Y1 - 2000
N2 - We introduce a Lévy-Lorentz gas in which a light particle is scattered by static point scatterers arranged on a line. We investigate the case where the intervals between scatterers [Formula Presented] are independent random variables identically distributed according to the probability density function [Formula Presented] We show that under certain conditions the mean square displacement of the particle obeys [Formula Presented] for [Formula Presented] This behavior is compatible with a renewal Lévy walk scheme. We discuss the importance of rare events in the proper characterization of the diffusion process.
AB - We introduce a Lévy-Lorentz gas in which a light particle is scattered by static point scatterers arranged on a line. We investigate the case where the intervals between scatterers [Formula Presented] are independent random variables identically distributed according to the probability density function [Formula Presented] We show that under certain conditions the mean square displacement of the particle obeys [Formula Presented] for [Formula Presented] This behavior is compatible with a renewal Lévy walk scheme. We discuss the importance of rare events in the proper characterization of the diffusion process.
UR - http://www.scopus.com/inward/record.url?scp=0000660853&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.61.1164
DO - 10.1103/PhysRevE.61.1164
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AN - SCOPUS:0000660853
SN - 1063-651X
VL - 61
SP - 1164
EP - 1169
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 2
ER -