Regensburg 2010 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 30: Posters II
DY 30.19: Poster
Donnerstag, 25. März 2010, 16:00–18:00, Poster C
Spreading of wave packets in nonlinear disordered chains — •Tetyana Laptyeva1,2, Charalampos Skokos1, Dmitry Krimer1, Joshua Bodyfelt1, and Sergej Flach1 — 1Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, D-01187 Dresden, Germany — 2Donetsk Institute for Physics and Engineering NASU, R. Luxemburg Str. 72, 83114 Donetsk-114, Ukraine
We consider the spatiotemporal evolution of wave packets in anharmonic disordered chains, in particular, for a wide range of disorder strengths. Previous studies show that Anderson localization is destroyed, and for asymptotically large times the second moment m2 grows as m2 ∼ t1/3 [1, 2]. Extending our analytical approach, we expect that the second moment will spread on intermediate time scales even faster, namely as m2 ∼ t1/2, with a crossover to the asymptotic t1/3 law at larger times. In order to observe the intermediate fast subdiffusive process, we perform extensive numerical simulations with systematic variations of the disorder strengths, initial wave packet widths, and initial wave packet amplitudes.
[1] S Flach DO Krimer Ch Skokos, Phys. Rev. Lett. 102, 024101 (2009)
[2] Ch Skokos DO Krimer S Komineas S Flach, Phys. Rev. E 79, 056211 (2009)