{
  "id": "2009.05591",
  "version": "v1",
  "published": "2020-09-11T18:10:00.000Z",
  "updated": "2020-09-11T18:10:00.000Z",
  "title": "A dislocation-dipole in one dimensional lattice model",
  "authors": [
    "Basant Lal Sharma"
  ],
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.mes-hall"
  ],
  "abstract": "A family of equilibria corresponding to dislocation-dipole, with variable separation between the two dislocations of opposite sign, is constructed in a one dimensional lattice model. A suitable path connecting certain members of this family is found which exhibits the familiar Peierls relief. A landscape for the variation of energy has been presented to highlight certain sequential transition between these equilibria that allows an interpretation in terms of quasi-statically separating pair of dislocations of opposite sign from the viewpoint of closely related Frenkel-Kontorova model. Closed form expressions are provided for the case of a piecewise-quadratic potential wherein an analysis of the effect of an intermediate spinodal region is included.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-11T18:10:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dimensional lattice model",
      "dislocation-dipole",
      "opposite sign",
      "intermediate spinodal region",
      "familiar peierls relief"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}