ISSN:
1572-9613
Keywords:
nonlinear dynamics
;
Hamiltonian dynamics
;
extended systems
;
random matrices
;
Lyapunov spectrum
;
hydrodynamic modes
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract 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, Posch, and Hoover. The hydrodynamic Lyapunov vectors lose 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1018679609870
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