When topology triggers a phase transition
| dc.creator | Kastner, Michael | |
| dc.date | 2005-09-06 | |
| dc.date.accessioned | 2026-07-07T11:26:16Z | |
| dc.date.available | 2026-07-07T11:26:16Z | |
| dc.description | Two mathematical mechanisms, responsible for the generation of a thermodynamic singularity, are individuated. For a class of short-range, confining potentials, a topology change in some family of configuration space submanifolds is the only possible such mechanism. Two examples of systems in which the phase transition is not accompanied by a such topology change are discussed. The first one is a model with long-range interactions, namely the mean-field phi^4-model, the second example is a one-dimensional system with a non-confining potential energy function. For both these systems, the thermodynamic singularity is generated by a maximization over one variable (or one discrete index) of a smooth function, although the context in which the maximization occurs is very different. | |
| dc.description | Talk given at the Next-SigmaPhi conference in Kolymbari, Crete, Greece, August 13-18, 2005 | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0509136 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0509136 | |
| dc.identifier | PhysicaA365:128-131,2006 | |
| dc.identifier | doi:10.1016/j.physa.2006.01.036 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/195769 | |
| dc.subject | Statistical Mechanics | |
| dc.title | When topology triggers a phase transition | |
| dc.type | text |