One Parameter Scaling Theory for Stationary States of Disordered Nonlinear Systems
arXiv:1003.1959 · doi:10.1103/PhysRevLett.104.164102
Abstract
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.
5 pages, 3 figures submitted to Physical Review Letters
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Cited by in corpus (10)
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- Complexity of waves in nonlinear disordered media
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- Subdiffusion of nonlinear waves in quasiperiodic potentials
- Solitonization of the Anderson Localization
- Statistical Description of Transport in Multimode Fibers with Mode-Dependent Loss
- Scaling Theory of Heat Transport in Quasi-1D Disordered Harmonic Chains
- A self-consistent theory of localization in nonlinear random media
- Purely nonlinear disorder-induced localizations and their parametric amplification