Multidimensional persistence behaviour in an Ising system
| dc.creator | Chandra, Anjan Kumar | |
| dc.creator | Dasgupta, Subinay | |
| dc.date | 2008-03-13 | |
| dc.date.accessioned | 2026-07-07T09:26:37Z | |
| dc.date.available | 2026-07-07T09:26:37Z | |
| dc.description | We consider a periodic Ising chain with nearest-neighbour and $r$-th neighbour interaction and quench it from infinite temperature to zero temperature. The persistence probability $P(t)$, measured as the probability that a spin remains unflipped upto time $t$, is studied by computer simulation for suitable values of $r$. We observe that as time progresses, $P(t)$ first decays as $t^{-0.22}$ (-the {\em first} regime), then the $P(t)-t$ curve has a small slope (in log-log scale) for some time (-the {\em second} regime) and at last it decays nearly as $t^{-3/8}$ (-the {\em third} regime). We argue that in the first regime, the persistence behaviour is the usual one for a two-dimensional system, in the second regime it is like that of a non-interacting (`zero-dimensional') system and in the third regime the persistence behaviour is like that of a one dimensional Ising model. We also provide explanations for such behaviour. | |
| dc.description | 6 pages, 12 figures | |
| dc.identifier | https://arxiv.org/abs/0803.1962 | |
| dc.identifier | http://arxiv.org/abs/0803.1962 | |
| dc.identifier | Physical Review E 77, 031111 (2008) | |
| dc.identifier | doi:10.1103/PhysRevE.77.031111 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/156814 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Multidimensional persistence behaviour in an Ising system | |
| dc.type | text |