{
  "id": "cond-mat/0406154",
  "version": "v1",
  "published": "2004-06-07T09:17:41.000Z",
  "updated": "2004-06-07T09:17:41.000Z",
  "title": "Probability distribution of persistent spins in a Ising chain",
  "authors": [
    "Pratap Kumar Das",
    "Parongama Sen"
  ],
  "comment": "4 pages, submitted to J. Phys A",
  "doi": "10.1088/0305-4470/37/29/001",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study the probability distribution $Q(n,t)$ of $n(t)$, the fraction of spins unflipped till time $t$, in a Ising chain with ferromagnetic interactions. The distribution shows a peak at $n=n_{max}$ and in general is non-Gaussian and asymmetric in nature. However for $n>n_{max}$ it shows a Gaussian decay. A data collapse can be obtained when $Q(n,t)/L^{\\alpha}$ versus $(n-n_{max})L^{\\beta}$ is plotted with $\\alpha \\sim 0.45$ and $\\beta \\sim 0.6$. Interestingly, $n_{max}(t)$ shows a different behaviour compared to $<n(t)> = P(t)$, the persistence probability which follows the well-known behaviour $P(t)\\sim t^{-\\theta}$. A quantitative estimate of the asymmetry and non-Gaussian nature of $Q(n,t)$ is made by calculating its skewness and kurtosis.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-06-07T09:17:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "probability distribution",
      "ising chain",
      "persistent spins",
      "spins unflipped till time",
      "ferromagnetic interactions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}