Regensburg 2004 – scientific programme

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DY: Dynamik und Statistische Physik

DY 40: Lyapunov Instability of Many-Body Systems

DY 40.2: Talk

Thursday, March 11, 2004, 10:00–10:15, H2

Static and Dynamic Correlations in Many-Particle Lyapunov Vectors — •Günter Radons and Hongliu Yang — Institut für Physik, Theoretische Physik I, Technische Universität Chemnitz, D-09107 Chemnitz

We introduce static and dynamic correlation functions for the spatial densities of Lyapunov vector fluctuations. They enable us to show, for the first time, the existence of hydrodynamic Lyapunov modes in chaotic many-particle sytems with soft core interactions. Our investigations for Lennard-Jones fluids yield in addition to the Lyapunov exponent - wave vector dispersion, the collective dynamic excitations, which dominate a given Lyapunov vector. In contrast to the Lyapunov vectors, which are time-dependent quantities, the Lyapunov vector correlation functions represent global properties of the dynamical system. For purely translational Lyapunov modes they reduce to the ordinary static and dynamic structure factor of many-particle systems.