{
  "id": "cond-mat/0010296",
  "version": "v1",
  "published": "2000-10-19T19:52:31.000Z",
  "updated": "2000-10-19T19:52:31.000Z",
  "title": "Zero-Temperature Dynamics of Plus/Minus J Spin Glasses and Related Models",
  "authors": [
    "A. Gandolfi",
    "C. M. Newman",
    "D. L. Stein"
  ],
  "comment": "17 pages (RevTeX; 3 figures; to appear in Commun. Math. Phys.)",
  "journal": "Commun. Math. Phys., 214 (2000), 373.",
  "doi": "10.1007/PL00005535",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech",
    "math.PR"
  ],
  "abstract": "We study zero-temperature, stochastic Ising models sigma(t) on a d-dimensional cubic lattice with (disordered) nearest-neighbor couplings independently chosen from a distribution mu on R and an initial spin configuration chosen uniformly at random. Given d, call mu type I (resp., type F) if, for every x in the lattice, sigma(x,t) flips infinitely (resp., only finitely) many times as t goes to infinity (with probability one) --- or else mixed type M. Models of type I and M exhibit a zero-temperature version of ``local non-equilibration''. For d=1, all types occur and the type of any mu is easy to determine. The main result of this paper is a proof that for d=2, plus/minus J models (where each coupling is independently chosen to be +J with probability alpha and -J with probability 1-alpha) are type M, unlike homogeneous models (type I) or continuous (finite mean) mu's (type F). We also prove that all other noncontinuous disordered systems are type M for any d greater than or equal to 2. The plus/minus J proof is noteworthy in that it is much less ``local'' than the other (simpler) proof. Homogeneous and plus/minus J models for d greater than or equal to 3 remain an open problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-10-19T19:52:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spin glasses",
      "zero-temperature dynamics",
      "plus/minus",
      "related models",
      "initial spin configuration chosen"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Communications in Mathematical Physics",
      "year": 2000,
      "volume": 214,
      "number": 2,
      "pages": 373
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000CMaPh.214..373G"
    }
  }
}