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.

*United States-Israel Binational Science Foundation (BSF) and the DFG FOR760 ``Scattering Systems with Complex Dynamics"

–

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