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  Universal Statistics of Branched Flows

Metzger, J. J., Fleischmann, R., & Geisel, T. (2010). Universal Statistics of Branched Flows. Physical Review Letters, 105: 020601. doi:10.1103/PhysRevLett.105.020601.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-1237-0 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-1238-E
Genre: Journal Article

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 Creators:
Metzger, Jakob J.1, Author              
Fleischmann, Ragnar1, Author              
Geisel, Theo1, Author              
Affiliations:
1Department of Nonlinear Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063286              

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 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.

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Language(s): eng - English
 Dates: 2010-07-07
 Publication Status: Published in print
 Pages: -
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 Table of Contents: -
 Rev. Method: Peer
 Identifiers: eDoc: 528732
DOI: 10.1103/PhysRevLett.105.020601
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Title: Physical Review Letters
Source Genre: Journal
 Creator(s):
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Pages: - Volume / Issue: 105 Sequence Number: 020601 Start / End Page: - Identifier: -