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Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light
Published on: July 29, 2013
Scaling of energy spreading in strongly nonlinear disordered lattices
Mario Mulansky1, Karsten Ahnert, Arkady Pikovsky
1Department of Physics and Astronomy, Potsdam University, Karl-Liebknecht-Strasse 24, D-14476, Potsdam-Golm, Germany.
Abstract:
To characterize a destruction of Anderson localization by nonlinearity, we study the spreading behavior of initially localized states in disordered, strongly nonlinear lattices. Due to chaotic nonlinear interaction of localized linear or nonlinear modes, energy spreads nearly subdiffusively. Based on a phenomenological description by virtue of a nonlinear diffusion equation, we establish a one-parameter scaling relation between the velocity of spreading and the density, which is confirmed numerically. From this scaling it follows that for very low densities the spreading slows down compared to the pure power law.
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