One Parameter Scaling Theory for Stationary States of Disordered Nonlinear Systems

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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5 pages, 3 figures submitted to Physical Review Letters

Scientific paper

10.1103/PhysRevLett.104.164102

We show, using detailed numerical analysis and theoretical arguments, that
the normalized 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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