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Dynamical Systems Seminar: Arkady Pikovsky

Chaotic destruction of Anderson localization in nonlinear lattices

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Date and time:Ìý

Thursday, February 27, 2014 - 2:00pm

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ECCR 257

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In linear disordered lattices there are no propagating waves, all modes are exponentially localized (Anderson localization). With nonlinearity, the dynamics are typically chaotic. We discuss the localization properties of this weakly chaotic state in two setups: spreading of an initially localized wave packet, and scattering of waves on a nonlinear disorderd layer. To shed light on the asymptotic behavior at very small nonlinearities, scaling properties of the weak chaos are analysed.