A dynamically extending exclusion process
| dc.creator | Sugden, K. E. P. | |
| dc.creator | Evans, M. R. | |
| dc.date | 2007-07-31 | |
| dc.date | 2007-10-29 | |
| dc.date.accessioned | 2026-07-07T08:47:50Z | |
| dc.date.available | 2026-07-07T08:47:50Z | |
| dc.description | An extension of the totally asymmetric exclusion process, which incorporates a dynamically extending lattice is explored. Although originally inspired as a model for filamentous fungal growth, here the dynamically extending exclusion process (DEEP) is studied in its own right, as a nontrivial addition to the class of nonequilibrium exclusion process models. Here we discuss various mean-field approximation schemes and elucidate the steady state behaviour of the model and its associated phase diagram. Of particular note is that the dynamics of the extending lattice leads to a new region in the phase diagram in which a shock discontinuity in the density travels forward with a velocity that is lower than the velocity of the tip of the lattice. Thus in this region the shock recedes from both boundaries. | |
| dc.description | 20 pages, 12 figures | |
| dc.identifier | https://arxiv.org/abs/0707.4504 | |
| dc.identifier | http://arxiv.org/abs/0707.4504 | |
| dc.identifier | J. Stat. Mech. (2007) P11013 | |
| dc.identifier | doi:10.1088/1742-5468/2007/11/P11013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/143742 | |
| dc.subject | Statistical Mechanics | |
| dc.title | A dynamically extending exclusion process | |
| dc.type | text |