{
  "id": "cond-mat/0603493",
  "version": "v1",
  "published": "2006-03-20T06:40:58.000Z",
  "updated": "2006-03-20T06:40:58.000Z",
  "title": "Continuously varying exponents in $A+B \\to 0$ reaction with long-ranged attractive interaction",
  "authors": [
    "Sungchul Kwon",
    "S. Y. Yoon",
    "Yup Kim"
  ],
  "comment": "5 pages, 4 figures",
  "doi": "10.1103/PhysRevE.74.021109",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We investigate the kinetics of the $A+B \\to 0$ reaction with long-range attractive interaction $V(r) \\sim -r^{-2\\sigma}$ between $A$ and $B$ or with the drift velocity $v \\sim r^{-\\sigma}$ in one dimension, where $r$ is the closest distance between $A$ and $B$. It is analytically show that the dynamical exponents for density of particles ($\\rho$) and the size of domains ($\\ell$) continuously vary with $\\sigma$ when $\\sigma < \\sigma_c =/1/2$, while that for the distance between adjacent opposite species ($\\ell_{AB}$) varies when $\\sigma < \\sigma_c^{AB}= 7/6$. Beyond $\\sigma_c^{AB}$, diffusive motions dominate the kinetics, so that the dynamical behavior for diffusive systems is completely recovered. These anomalous behaviors with the two crossover values of $\\sigma$ are supported by numerical simulations and the argument of effective repulsion between the opposite species domains.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-03-20T06:40:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "continuously varying exponents",
      "long-ranged attractive interaction",
      "opposite species domains",
      "adjacent opposite species",
      "closest distance"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}