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Hydrodynamic Lyapunov Modes in Translation Invariant Systems by Eckmann, Jean-Pierre; Gat, Omri is a scholarly article available to read on EtoBox.

What is Hydrodynamic Lyapunov Modes in Translation Invariant Systems about?

We study the implications of translation invariance on the tangent dynamics of extended dynamical systems, within a random matrix approximation. In a model system, we show the existence of hydrodynamic modes in the slowly growing part of the Lyapunov spectrum, which are analogous to the hydrodynamic modes discovered numerically by [Dellago, Ch., Posch, H.A., Hoover, W.G., Phys. Rev. E 53, 1485 (1996)]. The hydrodynamic Lyapunov vectors loose the typical random structure and exhibit instead the structure of weakly perturbed coherent long wavelength waves. We show further that the amplitude of the perturbations vanishes in the thermodynamic limit, and that the associated Lyapunov exponents are universal.

Author

Eckmann, Jean-Pierre; Gat, Omri

Published

1999

Language

EN