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math-ph2011★ 1 cited
Reply to the comment of T.Gilbert and D.P.Sanders on "Capturing correlations in chaotic diffusion by approximation methods"
Rainer Klages, Georgie Knight
This is a reply to the comment by Gilbert and Sanders [arXiv:1111.6271 (2011)]. We point out that their comment is a follow-up of a previous discussion which we briefly summarize b…
math-ph2011★ 16 cited
Dependence of chaotic diffusion on the size and position of holes
Georgie Knight, Orestis Georgiou, Carl P. Dettmann +1
A particle driven by deterministic chaos and moving in a spatially extended environment can exhibit normal diffusion, with its mean square displacement growing proportional to the…
math-ph2011★ 7 cited
Capturing correlations in chaotic diffusion by approximation methods
Georgie Knight, Rainer Klages
We investigate three different methods for systematically approximating the diffusion coefficient of a deterministic random walk on the line which contains dynamical correlations t…