Static and Dynamic Correlations in Many-Particle Lyapunov Vectors

Details Static and Dynamic Correlations in Many-Particle Lyapunov Vectors Static and Dynamic Correlations in Many-Particle Lyapunov Vectors

2004-04-15

arxiv.org/abs/nlin/0404028v1

Nonlinear Sciences

Chaotic Dynamics

5 pages, 5 figures

Scientific paper

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 systems with soft core interactions, which indicates universality of this phenomenon. Our investigations for Lennard-Jones fluids yield, in addition to the Lyapunov exponent - wave vector dispersion, the collective dynamic excitations of a given Lyapunov vector. In the limit of purely translational modes the static and dynamic structure factor are recovered.

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