On a Phase Separation Point for One - Dimensional Models
| dc.creator | Ganikhodjaev, N. N. | |
| dc.creator | Rozikov, U. A. | |
| dc.date | 2007-08-09 | |
| dc.date.accessioned | 2026-07-07T08:22:53Z | |
| dc.date.available | 2026-07-07T08:22:53Z | |
| dc.description | In the paper a one-dimensional model with nearest - neighbor interactions $I_n, n\in \Z$ and spin values $\pm 1$ is considered. It is known that under some conditions on parameters $I_n$ the phase transition occurs for the model. We define a notion of "phase separation" point between two phases. We prove that the expectation value of the point is zero and its the mean square fluctuation is bounded by a constant $C(β)$ which tends to 1/4 if $β\to\infty$. Here $β=\frac{1}{T}$, $ T>0$-temperature. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/0708.1212 | |
| dc.identifier | http://arxiv.org/abs/0708.1212 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135804 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 82B05, 82B20 | |
| dc.title | On a Phase Separation Point for One - Dimensional Models | |
| dc.type | text |