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Dynamical thermalization of disordered nonlinear lattices

Mario Mulansky1, Karsten Ahnert1, Arkady Pikovsky1,2, and Dima L. Shepelyansky2,3

  • 1Department of Physics and Astronomy, Potsdam University, Karl-Liebknecht-Straße 24, D-14476 Potsdam-Golm, Germany
  • 2Laboratoire de Physique Théorique (IRSAMC), Université de Toulouse–UPS, F-31062 Toulouse, France
  • 3LPT (IRSAMC), CNRS, F-31062 Toulouse, France

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Phys. Rev. E 80, 056212 – Published 24 November, 2009

DOI: https://doi.org/10.1103/PhysRevE.80.056212

Abstract

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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Phys. Rev. E 80, 056212– Published 24 November, 2009
  • Received 12 March 2009

© 2009 American Physical Society

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