Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2001-12-18
Phys. Rev. E 65, 056202 (2002)
Nonlinear Sciences
Chaotic Dynamics
15 pages, 6 figures
Scientific paper
10.1103/PhysRevE.65.056202
The structure of Lyapunov spectra for many particle systems with a random interaction between the particles is discussed. The dynamics of the tangent space is expressed as a master equation, which leads to a formula that connects the positive Lyapunov exponents and the time correlations of the particle interaction matrix. Applying this formula to one and two dimensional models we investigate the stepwise structure of the Lyapunov spectra, which appear in the region of small positive Lyapunov exponents. Long range interactions lead to a clear separation of the Lyapunov spectra into a part exhibiting stepwise structure and a part changing smoothly. The part of the Lyapunov spectrum containing the stepwise structure is clearly distinguished by a wave like structure in the eigenstates of the particle interaction matrix. The two dimensional model has the same step widths as found numerically in a deterministic chaotic system of many hard disks.
Morriss Gary P.
Taniguchi Tooru
No associations
LandOfFree
Stepwise structure of Lyapunov spectra for many particle systems by a random matrix dynamics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Stepwise structure of Lyapunov spectra for many particle systems by a random matrix dynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stepwise structure of Lyapunov spectra for many particle systems by a random matrix dynamics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-44288