Statistics of branched flow in a weak correlated random potential
Chaotic Dynamics
2009-08-14 v1 Mesoscale and Nanoscale Physics
Abstract
Recent images of electron flow through a two-dimensional electron gas (2DEG) device show branching behavior that is reproduced in numerical simulations of motion in a correlated random potential [cond-mat/0010348]. We show how such branching naturally arises from caustics in the classical flow and find a simple scaling behavior of the branching under variation of the random potential strength. Analytic results describing the statistical properties of the branching are confirmed by classical and quantum numerical tests.
Keywords
Cite
@article{arxiv.nlin/0206040,
title = {Statistics of branched flow in a weak correlated random potential},
author = {Lev Kaplan},
journal= {arXiv preprint arXiv:nlin/0206040},
year = {2009}
}
Comments
4 pages, 4 figures