Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2009-01-28
Physics
Condensed Matter
Disordered Systems and Neural Networks
14 pages, 9 figures, accepted for publication in Phys. Rev. E
Scientific paper
We consider the spatiotemporal evolution of a wave packet in disordered nonlinear Schr\"odinger and anharmonic oscillator chains. In the absence of nonlinearity all eigenstates are spatially localized with an upper bound on the localization length (Anderson localization). Nonlinear terms in the equations of motion destroy Anderson localization due to nonintegrability and deterministic chaos. At least a finite part of an initially localized wave packet will subdiffusively spread without limits. We analyze the details of this spreading process. We compare the evolution of single site, single mode and general finite size excitations, and study the statistics of detrapping times. We investigate the properties of mode-mode resonances, which are responsible for the incoherent delocalization process.
Flach Sergej
Komineas Stavros
Krimer Dmitry O.
Skokos Ch
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