Density-dependent diffusion in the periodic Lorentz gas
- Author(s)
- R Klages, Christoph Dellago
- Abstract
We study the deterministic diffusion coefficient of the two-dimensional periodic Lorentz gas as a function of the density of scatterers. Based on computer simulations, and by applying straightforward analytical arguments, we systematically improve the Machta Zwanzig random walk approximation [ Phys. Rev. Lett. 50:1959 (1983)] by including microscopic correlations. We furthermore, show that, on a fine scale, the diffusion coefficient is a non-trivial function of the density. On a coarse scale and lor lower densities, the diffusion coefficient exhibits a Boltzmann-like behavior, whereas for very high densities it crosses over to a regime which can be understood qualitatively by the Machta Zwanzig approximation.
- Organisation(s)
- Computational and Soft Matter Physics
- External organisation(s)
- Max-Planck-Institut für Physik komplexer Systeme
- Journal
- Journal of Statistical Physics
- Volume
- 101
- Pages
- 145-159
- No. of pages
- 15
- ISSN
- 0022-4715
- DOI
- https://doi.org/10.1023/A:1026445601619
- Publication date
- 2000
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 1030 Physics, Astronomy
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/densitydependent-diffusion-in-the-periodic-lorentz-gas(047b8137-4976-4799-99fa-a7c136b07fcc).html