Random-walk approach to the d-dimensional disordered Lorentz gas.
A correlated random walk approach to diffusion is applied to the disordered nonoverlapping Lorentz gas. By invoking the Lu-Torquato theory for chord-length distributions in random media [J. Chem. Phys. 98, 6472 (1993)], an analytic expression for the diffusion constant in arbitrary number of dimensions d is obtained. The result corresponds to an Enskog-like correction to the Boltzmann prediction, being exact in the dilute limit, and better or nearly exact in comparison to renormalized kinetic theory predictions for all allowed densities in d=2,3 . Extensive numerical simulations were also performed to elucidate the role of the approximations involved.
Adib
Artur B
AB
Laboratory of Chemical Physics, NIDDK, NIH, Bethesda, MD 20892-0520, USA. adiba@mail.nih.gov
D003198:Computer Simulation; D005740:Gases / Q000737:chemistry*; D008956:Models, Chemical; D015233:Models, Statistical
D005740:Gases