An approximate formula for the diffusion coefficient for the periodic Lorentz gas |
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| Authors: | C. Angstmann G.P. Morriss |
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| Affiliation: | 1. School of Physics, University of New South Wales, Sydney 2052, Australia;2. School of Mathematics and Statistics, University of New South Wales, Sydney 2052, Australia |
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| Abstract: | 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. |
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| Keywords: | Deterministic diffusion Lorentz gas |
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