{
  "id": "1111.4323",
  "version": "v2",
  "published": "2011-11-18T10:40:51.000Z",
  "updated": "2012-03-21T12:17:23.000Z",
  "title": "Fractional Brownian motion and the critical dynamics of zipping polymers",
  "authors": [
    "Jean-Charles Walter",
    "Alessandro Ferrantini",
    "Enrico Carlon",
    "Carlo Vanderzande"
  ],
  "comment": "7 pages, 8 figures",
  "journal": "Phys. Rev. E 85, 031120 (2012)",
  "doi": "10.1103/PhysRevE.85.031120",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.soft"
  ],
  "abstract": "We consider two complementary polymer strands of length $L$ attached by a common end monomer. The two strands bind through complementary monomers and at low temperatures form a double stranded conformation (zipping), while at high temperature they dissociate (unzipping). This is a simple model of DNA (or RNA) hairpin formation. Here we investigate the dynamics of the strands at the equilibrium critical temperature $T=T_c$ using Monte Carlo Rouse dynamics. We find that the dynamics is anomalous, with a characteristic time scaling as $\\tau \\sim L^{2.26(2)}$, exceeding the Rouse time $\\sim L^{2.18}$. We investigate the probability distribution function, the velocity autocorrelation function, the survival probability and boundary behaviour of the underlying stochastic process. These quantities scale as expected from a fractional Brownian motion with a Hurst exponent $H=0.44(1)$. We discuss similarities and differences with unbiased polymer translocation.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-03-21T12:17:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.40.-a",
      "82.35.Lr",
      "87.15.A-",
      "87.15.H-"
    ],
    "keywords": [
      "fractional brownian motion",
      "critical dynamics",
      "zipping polymers",
      "monte carlo rouse dynamics",
      "common end monomer"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review E",
      "year": 2012,
      "month": "Mar",
      "volume": 85,
      "number": 3,
      "pages": "031120"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhRvE..85c1120W"
    }
  }
}