{
  "id": "1109.3677",
  "version": "v1",
  "published": "2011-09-16T17:58:03.000Z",
  "updated": "2011-09-16T17:58:03.000Z",
  "title": "Microscopic theory of phase transitions and nonlocal corrections for free energy of a superconductor",
  "authors": [
    "K. V. Grigorishin",
    "B. I. Lev"
  ],
  "comment": "34 pages, 12 figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The new approach to the microscopic description of the phase transitions starting from the only first principles was developed on an example of the transition normal metal-superconductor. This means mathematically, that the free energy is calculated in the range of temperatures, which includes a point of pase transition, without introducing any artificial parameters similar to an order parameter, but only starting from microscopic parameters of Hamiltonian. Moreover the theorems about connection of a vacuum amplitude with thermodynamics potentials are realized. The functional of a superconductor's free energy in a magnetic field was obtained with help the developed method. The obtained functional is generalization of Ginzburg-Landau functional for the case of arbitrary value of a gap, arbitrary spatial inhomogeneities and nonlocal magnetic response. The explicit expressions for the extremals of this functional were obtained in the low-temperature limit and the high-temperature limit at the condition of slowness of gap's changes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-09-16T17:58:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "phase transitions",
      "microscopic theory",
      "nonlocal corrections",
      "functional",
      "artificial parameters similar"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.3677G"
    }
  }
}