Diffusion in normal and critical transient chaos

Details Diffusion in normal and critical transient chaos Diffusion in normal and critical transient chaos

1997-01-14

arxiv.org/abs/chao-dyn/9701012v1

Nonlinear Sciences

Chaotic Dynamics

4 pages Revtex file in twocolumn format with 2 included postscript figures

Scientific paper

10.1103/PhysRevLett.78.4031

In this paper we investigate deterministic diffusion in systems which are spatially extended in certain directions but are restricted in size and open in other directions, consequently particles can escape. We introduce besides the diffusion coefficient D on the chaotic repeller a coefficient ${\hat D}$ which measures the broadening of the distribution of trajectories during the transient chaotic motion. Both coefficients are explicitly computed for one-dimensional models, and they are found to be different in most cases. We show furthermore that a jump develops in both of the coefficients for most of the initial distributions when we approach the critical borderline where the escape rate equals the Liapunov exponent of a periodic orbit.

Affiliated with

Also associated with

No associations

Rating

Diffusion in normal and critical transient chaos 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 Diffusion in normal and critical transient chaos, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Diffusion in normal and critical transient chaos will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-621027