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DY: Dynamik und Statistische Physik
DY 34: Poster
DY 34.36: Poster
Monday, March 7, 2005, 15:30–18:00, Poster TU D
Hydrodynamic Lyapunov modes in coupled map lattices: spatial correlations — •Hong-liu Yang and Günter Radons — Theoretische Physik I, Komplexe Systeme und Nichtlineare Dynamik, TU-Chemnitz
We present numerical and analytical results, which show that hydrodynamic Lyapunov modes (HLMs) also exist for coupled map lattices (CMLs). It is found that the dispersion relations, Lyapunov exponent vs. wave number, of these modes fall into two different universality classes. We obtain λ ∼ k e.g. for coupled standard maps and λ ∼ k2 for coupled circle maps. We discuss under which conditions HLMs can be observed. The role of the Hamiltonian structure, conservation laws, translational invariance, mass-disorder, and damping terms is elaborated. Furthermore, we present simulation results for two-dimensional lattices of coupled maps showing that the appearance of HLMs in CMLs is not restricted to the one-dimensional case.