Relationship between classical diffusion, intermittency, and the motion of quantum particle in modulated or random media

Year: 1986

Authors: Schneider T., Politi A., Badii R.

Autors Affiliation: IBM Zurich Research Laboratory, CH-8803 Rüschlikon, Switzerland;
Physics Department, University of Zurich, CH-8001 Zurich, Switzerland;
Istituto nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy

Abstract: Using the mapping of classical and spatially continuous diffusion onto a quantum system, we establish the connection between long-time diffusive behavior and the leading low-frequency properties in the density of states. The mapping also relates the hitherto independent fields of classical diffusion in random media and localization. Moreover, the approach is extended to spatially discrete diffusion. Here, the low-frequency scaling behavior is connected to intermittency in one-dimensional maps and confirmed by numerical results for a model exhibiting sublinear diffusion.

Journal/Review: PHYSICAL REVIEW A

Volume: 34 (3)      Pages from: 2505  to: 2508

KeyWords: classical diffusion intermittency
DOI: 10.1103/PhysRevA.34.2505

Citations: 8
data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-11-24
References taken from IsiWeb of Knowledge: (subscribers only)

Connecting to view paper tab on IsiWeb: Click here
Connecting to view citations from IsiWeb: Click here