An analytic approximation to the Diffusion Coefficient for the periodic Lorentz Gas

Details An analytic approximation to the Diffusion Coefficient for the periodic Lorentz Gas An analytic approximation to the Diffusion Coefficient for the periodic Lorentz Gas

2012-02-14

arxiv.org/abs/1202.2904v1

Nonlinear Sciences

Chaotic Dynamics

13 pages, 4 figures

Scientific paper

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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