Scaling properties of the asymmetric exclusion process with long-range hopping
| dc.creator | Szavits-Nossan, J. | |
| dc.creator | Uzelac, K. | |
| dc.date | 2008-04-25 | |
| dc.date.accessioned | 2026-07-07T09:38:58Z | |
| dc.date.available | 2026-07-07T09:38:58Z | |
| dc.description | The exclusion process in which particles may jump any distance l>=1 with the probability that decays as l^-(1+sigma) is studied from coarse-grained equation for density profile in the limit when the lattice spacing goes to zero. For 1<sigma<2, the usual diffusion term of this equation is replaced by the fractional one, which affects dynamical-scaling properties of the late-time approach to the stationary state. When applied to an open system with totally asymmetric hopping, this approach gives two results: first, it accounts for the sigma-dependent exponent that characterizes the algebraic decay of density profile in the maximum-current phase for 1<sigma<2, and second, it shows that in this region of sigma the exponent is of the mean-field type. | |
| dc.description | 10 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/0804.4094 | |
| dc.identifier | http://arxiv.org/abs/0804.4094 | |
| dc.identifier | Phys. Rev. E 77, 051116 (2008) | |
| dc.identifier | doi:10.1103/PhysRevE.77.051116 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161007 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Scaling properties of the asymmetric exclusion process with long-range hopping | |
| dc.type | text |