Nonequilibrium Chaos of Disordered Nonlinear Waves

• DOI: 10.1103/physrevlett.111.064101
• Publication Date: 2013-08-08T15:18:03Z
• Authors: Ch. Skokos; I. Gkolias; S. Flach
• Keywords: Statistical Mechanics (cond-mat.stat-mech); 0103 physical sciences; FOS: Physical sciences; Disordered Systems and Neural Networks (cond-mat.dis-nn); Condensed Matter - Disordered Systems and Neural Networks; Chaotic Dynamics (nlin.CD); Nonlinear Sciences - Chaotic Dynamics; 01 natural sciences; Condensed Matter - Statistical Mechanics

Do nonlinear waves destroy Anderson localization? Computational and experimental studies yield subdiffusive nonequilibrium wave packet spreading. Chaotic dynamics phase decoherence assumptions are used for explaining the data. We perform a quantitative analysis of chaos assumption compute time dependence main indicators--Lyapunov exponents deviation vector distributions. find slowing down chaotic dynamics, which does not cross over into regular up to largest observed scales, still being fast enough allow thermalization spreading packet. Strongly localized spots meander through system as evolves. Our findings confirm first that persist, fueling prediction complete delocalization.