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Dynamical thermalization of disordered nonlinear lattices

  • We study numerically how the energy spreads over a finite disordered nonlinear one-dimensional lattice, where all linear modes are exponentially localized by disorder. We establish emergence of dynamical thermalization characterized as an ergodic chaotic dynamical state with a Gibbs distribution over the modes. Our results show that the fraction of thermalizing modes is finite and grows with the nonlinearity strength.

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Metadaten
Author:Mario Mulansky, Karsten Ahnert, Arkady S. PikovskyORCiDGND, Dima L. Shepelyansky
URL:http://pre.aps.org/
DOI:https://doi.org/10.1103/Physreve.80.056212
ISSN:1539-3755
Document Type:Article
Language:English
Year of first Publication:2009
Year of Completion:2009
Release Date:2017/03/25
Source:Physical review E. - ISSN 1539-3755. - 80 (2009), 5, Art. 056212
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer Review:Referiert