Berlin 2008 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 17: Poster I

DY 17.29: Poster

Tuesday, February 26, 2008, 16:00–18:00, Poster C

Lyapunov spectral gap and branch splitting of Lyapunov modes in a ``diatomic" system — •Hong-liu Yang and Günter Radons — Institute of Physics, Chemnitz University of Technology, D-09107 Chemnitz, Germany

Lyapunov instability of a ``diatomic" system of coupled map lattices is studied and the dynamics of Lyapunov modes (LMs) is compared with phonon dynamics. Similar to the phonon case mass differences between neighbouring sites induce gaps in the Lyapunov spectrum and LMs split into two types correspondingly. An unexpected finding [1] is that contrary to the phonon case a nontrivial threshold value for the mass difference is required for the occurrence of the spectral gap and the splitting of LMs. A possible origin of such a nontrivial threshold value of mass differences is suggested.

[1] Hong-liu Yang and Günter Radons, Phys. Rev. Lett. 99, 164101 (2007).