7 research outputs found
An analytic approximation to the Diffusion Coefficient for the periodic Lorentz Gas
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.Comment: 13 pages, 4 figure