{
  "id": "cond-mat/0509136",
  "version": "v1",
  "published": "2005-09-06T08:27:04.000Z",
  "updated": "2005-09-06T08:27:04.000Z",
  "title": "When topology triggers a phase transition",
  "authors": [
    "Michael Kastner"
  ],
  "comment": "Talk given at the Next-SigmaPhi conference in Kolymbari, Crete, Greece, August 13-18, 2005",
  "journal": "PhysicaA365:128-131,2006",
  "doi": "10.1016/j.physa.2006.01.036",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-09-06T08:27:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "phase transition",
      "topology triggers",
      "thermodynamic singularity",
      "topology change",
      "non-confining potential energy function"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 691646
    }
  }
}