Dynamical Thermalization of Disordered Nonlinear Lattices

Details Dynamical Thermalization of Disordered Nonlinear Lattices Dynamical Thermalization of Disordered Nonlinear Lattices

2009-03-12

arxiv.org/abs/0903.2191v2

Phys. Rev. E 80, 056212 (2009)

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 5 figures

Scientific paper

10.1103/PhysRevE.80.056212

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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