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Universal statistics of branched flows

Item Type:Article
Title:Universal statistics of branched flows
Creators Name:Metzger, J.J. and Fleischmann, R. and Geisel, T.
Abstract:Even very weak correlated disorder potentials can cause extreme fluctuations in Hamiltonian flows. In two dimensions this leads to a pronounced branching of the flow. Although present in a great variety of physical systems, a quantitative theory of the branching statistics is lacking. Here, we derive an analytical expression for the number of branches valid for all distances from a source. We also derive the scaling relations that make this expression universal for a wide range of random potentials. Our theory has possible applications in many fields ranging from semiconductor to geophysics.
Keywords:Analytical Expressions, Correlated Disorder, Physical Systems, Quantitative Theory, Random Potentials, Scaling Relations, Two-Dimension
Source:Physical Review Letters
Publisher:American Physical Society
Page Range:020601
Date:9 July 2010
Official Publication:https://doi.org/10.1103/PhysRevLett.105.020601
PubMed:View item in PubMed

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