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arxiv: 1003.1959 · v1 · submitted 2010-03-09 · ❄️ cond-mat.dis-nn · cond-mat.stat-mech· nlin.AO

One Parameter Scaling Theory for Stationary States of Disordered Nonlinear Systems

classification ❄️ cond-mat.dis-nn cond-mat.stat-mechnlin.AO
keywords scalingdisorderednonlinearstationarytheoryanalysisandersonapproach
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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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