{
  "id": "cond-mat/0307214",
  "version": "v1",
  "published": "2003-07-09T18:31:04.000Z",
  "updated": "2003-07-09T18:31:04.000Z",
  "title": "General Solutions for Multispin Two-Time Correlation and Response Functions in the Glauber-Ising Chain",
  "authors": [
    "Peter Mayer",
    "Peter Sollich"
  ],
  "comment": "35 Pages, 4 Figures",
  "journal": "J. Phys. A: Math. Gen. 37, 9 (2004)",
  "doi": "10.1088/0305-4470/37/1/002",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The kinetic Glauber-Ising spin chain is one of the very few exactly solvable models of non-equilibrium statistical mechanics. Nevertheless, existing solutions do not yield tractable expressions for two-time correlation and response functions of observables involving products of more than one or two spins. We use a new approach to solve explicitly the full hierarchy of differential equations for the correlation and response functions. From this general solution follow closed expressions for arbitrary multispin two-time correlation and response functions, for the case where the system is quenched from equilibrium at T_i > 0 to some arbitrary T >= 0. By way of application, we give the results for two and four-spin two-time correlation and response functions. From the standard mapping, these also imply new exact results for two-time particle correlation and response functions in one-dimensional diffusion limited annihilation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-07-09T18:31:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "response functions",
      "general solution",
      "glauber-ising chain",
      "arbitrary multispin two-time correlation",
      "kinetic glauber-ising spin chain"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}