Regensburg 2007 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 30: Poster II

DY 30.44: Poster

Donnerstag, 29. März 2007, 16:00–18:00, Poster D

Hydrodynamic Lyapunov modes in binary Lennard-Jones fluids — •Christian Drobniewski, Günter Radons, and Hong-Liu Yang — Chemnitz University of Technology, 09107 Chemnitz

In analogy to the microscopic definition of structure factors of molecular hydrodynamics we introduced static and dynamic correlation functions for Lyapunov vectors ([1],[2]). By this it was made possible to identify Lyapunov modes in chaotic many particle systems with softcore interactions (Lennard-Jones fluids). Binary Lennard-Jones fluids are a well known class of systems, which were thoroughly investigated in the context of the glass transition. For binary systems we generalize these Lyapunov vector correlation functions in analogy to the so-called partial structure factors. With these correlation functions we provide a new tool for the investigation of the Lyapunov instability in binary extended systems. We present results obtained by calculating and investigating these correlation functions and find, for instance, signatures indicating the glass transition taking place in the system.

[1] H.L. Yang and G. Radons, Phys. Rev. E 73, 016202 (2006)

[2] G. Radons and H. L. Yang, arXiv nlin. CD/0404028