Statistics of branched flow in a weak correlated random potential
Lev Kaplan
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.
Create a lesson
Related papers
A Second-Order Asymptotic Expansion for Nonlinear Filtering in the Lorenz--63 System
Masahiro Kurisaki, Kota Takeda
Heterogeneity-induced chaos in globally coupled Stuart--Landau oscillators
Luekai Zhao, Nariya Uchida
Adiabatic confinement and escape in an open billiard
Matheus Rolim Sales, Leonardo Costa de Souza, Ricardo Luiz Viana et al.
A Renormalization-Group Hierarchy of Stochastic Effective Dynamics Learned through Path Integrals
Yuki Yasuda, Tobias Bischoff
ETM-3D: A One-Parameter Multistable Quadratic Flow with an Explicit Absorbing Set and Intermittent Chaos
Roya Khalili-Amirabadi, Mohsen Jalaeian-Farimani
Influence of astrocyte feedback and noise on breathing neural clusters
Ediline L. F. Nguessap, Thierry Njougouo, Fernando F. Ferreira