One Parameter Scaling Theory for Stationary States of Disordered Nonlinear Systems

ORAL

Abstract

We show that the normalized average participation number of the stationary solutions of disordered nonlinear lattices obeys a one-parameter scaling law. Our approach opens a new way to investigate the interplay of Anderson localization and nonlinearity based on the powerful ideas of scaling theory.

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Authors

  • Tsampikos Kottos

    Wesleyan University and MPI for Dynamics and Self-Organization, Department of Physics, Wesleyan University, Middletown, Connecticut 06459, USA \& MPI for Dynamics and Self-Organization, 37073 G\"ottingen, Germany, Physics Dept., Wesleyan University, Middletown, CT, Wesleyan University

  • Joshua Bodyfelt

    Max Planck Insitute for Physics of Complex Systems

  • Boris Shapiro

    Technion - Israel Institute of Technology