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chaosbook:diffusion [2011/08/03 12:30] predrag [Rainer Klages] added the most recent paper |
chaosbook:diffusion [2012/02/15 09:31] (current) predrag added a diffusion paper by Morriss. |
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**Predrag 2011-08-03** Remember to also read [[http://arxiv.org/abs/1107.5293|Capturing correlations in chaotic diffusion by approximation methods]] by Georgie Knight and Rainer Klages. | **Predrag 2011-08-03** Remember to also read [[http://arxiv.org/abs/1107.5293|Capturing correlations in chaotic diffusion by approximation methods]] by Georgie Knight and Rainer Klages. | ||
- | ~~DISCUSSION~~ | + | 14 Feb 2012 01:14:40 GMT (124kb,D) |
+ | **Predrag 2012-02-15** Read [[http://arxiv.org/abs/1202.2904|An analytic approximation to the Diffusion Coefficient for the periodic Lorentz Gas]] by Angstmann and Morriss. The say: "An approximate stochastic model for the topological dynamics of the periodic triangular Lorentz gas is constructed. The model, together with an extremum principle, is used to find a closed form approximation to the diffusion coefficient as a function of the lattice spacing. This approximation is superior to the popular Machta and Zwanzig result and agrees well with a range of numerical estimates." |