Totally asymmetric exclusion process with long-range hopping
| dc.creator | Szavits-Nossan, J. | |
| dc.creator | Uzelac, K. | |
| dc.date | 2006-10-18 | |
| dc.date.accessioned | 2026-07-07T07:27:35Z | |
| dc.date.available | 2026-07-07T07:27:35Z | |
| dc.description | Generalization of the one-dimensional totally asymmetric exclusion process (TASEP) with open boundary conditions in which particles are allowed to jump $l$ sites ahead with the probability $p_l\sim 1/l^{σ+1}$ is studied by Monte Carlo simulations and the domain-wall approach. For $σ>1$ the standard TASEP phase diagram is recovered, but the density profiles near the transition lines display new features when $1<σ<2$. At the first-order transition line, the domain-wall is localized and phase separation is observed. In the maximum-current phase the profile has an algebraic decay with a $σ$-dependent exponent. Within the $σ\leq 1$ regime, where the transitions are found to be absent, analytical results in the continuum mean-field approximation are derived in the limit $σ=-1$. | |
| dc.description | 10 pages, 9 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0610510 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0610510 | |
| dc.identifier | Phys. Rev. E 74, 051104 (2006) | |
| dc.identifier | doi:10.1103/PhysRevE.74.051104 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/117427 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Totally asymmetric exclusion process with long-range hopping | |
| dc.type | text |