Statistics of branched flow in a weak correlated random potential

Details Statistics of branched flow in a weak correlated random potential Statistics of branched flow in a weak correlated random potential

2002-06-26

arxiv.org/abs/nlin/0206040v1

Phys. Rev. Lett. 89, 184103 (2002).

Nonlinear Sciences

Chaotic Dynamics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.89.184103

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.

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