Static and Dynamic Correlations in Many-Particle Lyapunov Vectors

Günter Radons; Hongliu Yang

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arXiv · nlin/0404028

Static and Dynamic Correlations in Many-Particle Lyapunov Vectors

Günter Radons·Hongliu Yang

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Abstract

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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Günter Radons, Hongliu Yang. 2004-04-15. Static and Dynamic Correlations in Many-Particle Lyapunov Vectors. https://arxiv.org/abs/nlin/0404028

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