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arXiv · 0903.2191

Dynamical Thermalization of Disordered Nonlinear Lattices

Mario Mulansky·Karsten Ahnert·Arkady Pikovsky·Dima L. Shepelyansky
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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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Mario Mulansky, Karsten Ahnert, Arkady Pikovsky, Dima L. Shepelyansky. 2009-10-29. Dynamical Thermalization of Disordered Nonlinear Lattices. https://doi.org/10.1103/physreve.80.056212

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