Headway oscillations and phase transitions for diffusing particles with increased velocity
| dc.creator | Woelki, Marko | |
| dc.creator | Schreckenberg, Michael | |
| dc.date | 2009-03-30 | |
| dc.date.accessioned | 2026-07-07T12:58:27Z | |
| dc.date.available | 2026-07-07T12:58:27Z | |
| dc.description | An asymmetric exclusion process with $N$ particles on $L$ sites is considered where particles can move one or two sites per infinitesimal time-step. An exact analysis for N=2 and a mean-field theory in comparison with simulations show even/odd oscillations in the headway distribution of particles. Oscillations become maximal if particles try to move as far as possible with regard to their maximum velocity and particle exclusion. A phase transition separates two density profiles around a generated perturbation that plays the role of a defect. The matrix-product ansatz is generalized to obtain the exact solution for finite $N$ and $L$. Thermodynamically, the headway distribution yields the mean-field result as $N^{-1}\to 0$ while it is not described generally by a product measure. | |
| dc.description | 14 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/0903.5327 | |
| dc.identifier | http://arxiv.org/abs/0903.5327 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225249 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Headway oscillations and phase transitions for diffusing particles with increased velocity | |
| dc.type | text |