Understanding deterministic diffusion by correlated random walks

Details Understanding deterministic diffusion by correlated random walks Understanding deterministic diffusion by correlated random walks

2002-02-19

arxiv.org/abs/nlin/0202040v1

J.Phys.A: Math.Gen. 35, 4823-4836 (2002)

Nonlinear Sciences

Chaotic Dynamics

13 pages (revtex) with 5 figures (postscript)

Scientific paper

10.1088/0305-4470/35/23/302

Low-dimensional periodic arrays of scatterers with a moving point particle are ideal models for studying deterministic diffusion. For such systems the diffusion coefficient is typically an irregular function under variation of a control parameter. Here we propose a systematic scheme of how to approximate deterministic diffusion coefficients of this kind in terms of correlated random walks. We apply this approach to two simple examples which are a one-dimensional map on the line and the periodic Lorentz gas. Starting from suitable Green-Kubo formulas we evaluate hierarchies of approximations for their parameter-dependent diffusion coefficients. These approximations converge exactly yielding a straightforward interpretation of the structure of these irregular diffusion coeficients in terms of dynamical correlations.

Affiliated with

Also associated with

No associations

Rating

Understanding deterministic diffusion by correlated random walks 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 Understanding deterministic diffusion by correlated random walks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Understanding deterministic diffusion by correlated random walks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-302919