Random walk approach to the d-dimensional disordered Lorentz gas
| dc.creator | Adib, Artur B. | |
| dc.date | 2007-11-12 | |
| dc.date | 2008-02-15 | |
| dc.date.accessioned | 2026-07-07T09:20:41Z | |
| dc.date.available | 2026-07-07T09:20:41Z | |
| dc.description | 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. | |
| dc.description | 5 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/0711.1875 | |
| dc.identifier | http://arxiv.org/abs/0711.1875 | |
| dc.identifier | Phys. Rev. E 77, 021118 (2008) | |
| dc.identifier | doi:10.1103/PhysRevE.77.021118 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154797 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Random walk approach to the d-dimensional disordered Lorentz gas | |
| dc.type | text |