Berlin 2008 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 17: Poster I

DY 17.32: Poster

Dienstag, 26. Februar 2008, 16:00–18:00, Poster C

Hydrodynamic Lyapunov modes in binary 1D-Lennard-Jones fluids — •Christian Drobniewski and Günter Radons — TU-Chemnitz 09107

Corresponding to the partial structure factors of molecular hydrodynamics we defined static and dynamic correlation functions of the 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). Lennard-Jones fluids are a well know and widely treated class of systems which are often investigated in the context of the glass transition. With these correlation functions we open new investigation possibilities. For instance, the frequency properties for the Lyapunov modes allow the connection to the known properties of fluid or glasseous systems. We present results for a binary 1D-Lennard-Jones fluid with alternating masses. Special focus lies on the distinct properties shared with simpler model systems such as the linear chain or couple map lattices with alternating masses ([3]). To recognize differences in the behaviour of the particle sorts we splitted the above correlations functions for each of them. [1] Hong-liu Yang and Günter Radons, Hydrodynamic Lyapunov modes in coupled map lattices, Phys. Rev. E 73, 016202 (2006) [2] G. Radons and H. L. Yang, Static and Dynamic Correlations in Many-Particle Lyapunov Vectors, arXiv nlin. CD/0404028 [3] H.L. Yang, G. Radons, Lyapunov Spectral Gap and Branch Splitting of Lyapunov Modes in a Diatomic System, Phys. Rev. Lett. 99, 164101 (2007)