Scaling of hysteresis loops at phase transitions into a quasiabsorbing state
| dc.creator | Takeuchi, Kazumasa A. | |
| dc.date | 2007-06-28 | |
| dc.date | 2008-03-10 | |
| dc.date.accessioned | 2026-07-07T09:25:26Z | |
| dc.date.available | 2026-07-07T09:25:26Z | |
| dc.description | Models undergoing a phase transition to an absorbing state weakly broken by the addition of a very low spontaneous nucleation rate are shown to exhibit hysteresis loops whose width $Δλ$ depends algebraically on the ramp rate $r$. Analytical arguments and numerical simulations show that $Δλ\sim r^κ$ with $κ= 1/(β'+1)$, where $β'$ is the critical exponent governing the survival probability of a seed near threshold. These results explain similar hysteresis scaling observed before in liquid crystal convection experiments. This phenomenon is conjectured to occur in a variety of other experimental systems. | |
| dc.description | 4 pages, 4 figures, 1 table | |
| dc.identifier | https://arxiv.org/abs/0706.4152 | |
| dc.identifier | http://arxiv.org/abs/0706.4152 | |
| dc.identifier | Phys. Rev. E 77, 030103(R) (2008) | |
| dc.identifier | doi:10.1103/PhysRevE.77.030103 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/156403 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Scaling of hysteresis loops at phase transitions into a quasiabsorbing state | |
| dc.type | text |