Berlin 2012 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 10: Nonlinear Dynamics, Synchronisation and Chaos
DY 10.1: Vortrag
Dienstag, 27. März 2012, 09:30–09:45, MA 001
On nonlinear waves spreading in two-dimensional random lattices — •Tetyana V. Laptyeva, Joshua D. Bodyfelt, and Sergej Flach — Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187 Dresden, Germany
We analyze the mechanisms and regimes of nonlinear waves spreading in random lattices, which are known to localize linear waves. More precisely, we extend our recent studies on the strong and weak chaos regimes of wave-packet subdiffusive spreading [1] to the case of two-dimensional lattices with tunable nonlinearity. The focus is put on the paradigmatic problem of compact excitation expansion in disordered (Klein-Gordon) lattice with a σ-parameterized nonlinearity |u|σu. Numerically obtained time-dependencies for the subdiffusion exponents support theoretical predictions of [2]. Moreover, going below critical nonlinearity power σc=1 we observe the long-lasting strong chaos in subdiffusive wave-packet spreading. The possible ways of estimation, or, qualitative characterization of this process remain open for further exploration.
[1] T.V. Laptyeva, et al., Europhys. Lett. 91, 30001 (2010); J.D. Bodyfelt, et al., Phys. Rev. E 84, 016205 (2011); J.D. Bodyfelt, et al., Int. J. Bif. Chaos 21, 2107 (2011). [2] S. Flach, Chem. Phys. 375, 548 (2010).