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Chaotic destruction of Anderson localization in nonlinear lattices

Event Details

Event Dates: 

Thursday, February 27, 2014 - 2:00pm

Seminar Location: 

  • Other

Seminar Location Other: 

Engineering Building, Room ECCR 257

Speaker Name(s): 

Arkady Pikovsky

Speaker Affiliation(s): 

Department of Physics, University of Potsdam
Seminar Type/Subject

Scientific Seminar Type: 

  • Other

Seminar Type Other: 

Dynamical Systems Seminar

Event Details & Abstract: 

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 analyzed.