Unattainability of a purely topological criterion for the existence of a phase transition for non-confining potentials
| dc.creator | Kastner, Michael | |
| dc.date | 2004-04-21 | |
| dc.date | 2004-07-13 | |
| dc.date.accessioned | 2026-07-07T02:57:45Z | |
| dc.date.available | 2026-07-07T02:57:45Z | |
| dc.description | The relation between thermodynamic phase transitions in classical systems and topology changes in their configuration space is discussed for a one-dimensional, analytically tractable solid-on-solid model. The topology of a certain family of submanifolds of configuration space is investigated, corroborating the hypothesis that, in general, a change of the topology within this family is a necessary condition in order to observe a phase transition. Considering two slightly differing versions of this solid-on-solid model, one showing a phase transition in the thermodynamic limit, the other not, we find that the difference in the ``quality'' or ``strength'' of this topology change appears to be insignificant. This example indicates the unattainability of a condition of exclusively topological nature which is sufficient as to guarantee the occurrence of a phase transition in systems with non-confining potentials. | |
| dc.description | 4 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0404511 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0404511 | |
| dc.identifier | Phys. Rev. Lett. 93, 150601 (2004) | |
| dc.identifier | doi:10.1103/PhysRevLett.93.150601 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/23791 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Unattainability of a purely topological criterion for the existence of a phase transition for non-confining potentials | |
| dc.type | text |