Deterministic diffusion in flower shape billiards

Details Deterministic diffusion in flower shape billiards Deterministic diffusion in flower shape billiards

2002-04-18

arxiv.org/abs/nlin/0204046v1

Phys.Rev.E 66, 026211 (2002)

Nonlinear Sciences

Chaotic Dynamics

8 pages (revtex) with 9 figures (encapsulated postscript)

Scientific paper

10.1103/PhysRevE.66.026211

We propose a flower shape billiard in order to study the irregular parameter dependence of chaotic normal diffusion. Our model is an open system consisting of periodically distributed obstacles of flower shape, and it is strongly chaotic for almost all parameter values. We compute the parameter dependent diffusion coefficient of this model from computer simulations and analyze its functional form by different schemes all generalizing the simple random walk approximation of Machta and Zwanzig. The improved methods we use are based either on heuristic higher-order corrections to the simple random walk model, on lattice gas simulation methods, or they start from a suitable Green-Kubo formula for diffusion. We show that dynamical correlations, or memory effects, are of crucial importance to reproduce the precise parameter dependence of the diffusion coefficent.

Affiliated with

Also associated with

No associations

Rating

Deterministic diffusion in flower shape billiards 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 Deterministic diffusion in flower shape billiards, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Deterministic diffusion in flower shape billiards will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-358382