Lyapunov Instability versus Relaxation Time in two Coupled Oscillators
arXiv:nlin/0505048 · doi:10.1103/PhysRevE.73.016204
Abstract
We consider the relation between relaxation time and the largest Lyapunov exponent in a system of two coupled oscillators, one of them being harmonic. It has been found that in a rather broad region of parameter space, contrary to the common expectation, both Lyapunov exponent and relaxation time increase as a function of the total energy. This effect is attributed to the fact that above a critical value of the total energy, although the Lyapunov exponent increases, KAM tori appear and the chaotic fraction of phase space decreases. We examine the required conditions and demonstrate the key role of the dispersion relation for this behaviour to occur. This study is useful, among others, in the understanding of the damping of nuclear giant resonances.
arXiv comment10 pages, 8 figures, submitted to Phys. Rev. E
References in corpus (9)
- Relaxation of classical many-body hamiltonians in one dimension
- Relaxation processes in one-dimensional self-gravitating many-body systems
- Chaos and Noise in Galactic Potentials
- Transient chaos and resonant phase mixing in violent relaxation
- Nonlinear dynamics of giant resonances in atomic nuclei
- Chaoticity in Vibrating Nuclear Billiards
- One-body dissipation and chaotic dynamics in a classical simulation of a nuclear gas
- Phase-Space Exploration in Nuclear Giant Resonance Decay
- Collective and chaotic motion in self-bound many-body systems