{
  "id": "physics/9703007",
  "version": "v1",
  "published": "1997-03-03T16:49:50.000Z",
  "updated": "1997-03-03T16:49:50.000Z",
  "title": "Foundations of Statistical Mechanics and Theory of Phase Transition",
  "authors": [
    "E. D. Belokolos"
  ],
  "comment": "19 pages, Latex",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "A new formulation of statistical mechanics is put forward according to which a random variable characterizing a macroscopic body is postulated to be infinitely divisible. It leads to a parametric representation of partition function of an arbitrary macroscopic body, a possibility to describe a macroscopic body under excitation by a gas of some elementary quasiparticles etc. A phase transition is defined as such a state of a macroscopic body that its random variable is stable in sense of L\\'evy. From this definition it follows by deduction all general properties of phase transitions: existence of the renormalization semigroup, the singularity classification for thermodynamic functions, the phase transition universality and universality classes. On this basis we has also built a 2-parameter scaling theory of phase transitions, a thermodynamic function for the Ising model etc.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1997-03-03T16:49:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "statistical mechanics",
      "foundations",
      "thermodynamic function",
      "arbitrary macroscopic body",
      "phase transition universality"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1997physics...3007B"
    }
  }
}