{
  "id": "1710.08650",
  "version": "v1",
  "published": "2017-10-24T08:34:49.000Z",
  "updated": "2017-10-24T08:34:49.000Z",
  "title": "Universality of Domain Growth in Antiferromagnets with Spin-Exchange Kinetics",
  "authors": [
    "Prasenjit Das",
    "Tanusri Saha-Dasgupta",
    "Sanjay Puri"
  ],
  "comment": "21 Pages, 7 Figures, Accepted in EPJE",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study phase ordering kinetics in symmetric and asymmetric binary mixtures, undergoing an order-disorder transition below the critical temperature. Microscopically, we model the kinetics via antiferromagnetic Ising model with Kawasaki spin-exchange kinetics. This conserves the composition while the order-parameter (staggered magnetization) is not conserved. The order-parameter correlation function and structure factor show dynamical scaling, and the scaling functions are independent of the mixture composition. The average domain size shows a power-law growth: $L_\\sigma(t)\\sim t^\\alpha$. The asymptotic growth regime has $\\alpha=1/2$, though there can be prolonged transients with $\\alpha<1/2$ for asymmetric mixtures. Our unambiguous observation of the asymptotic universal regime is facilitated by using an accelerated Monte Carlo technique. We also obtain the coarse-grained free energy from the Hamiltonian, as a function of two order-parameters. The evolution of these order-parameters is modeled by using \\textit{Model C} kinetics. Similar to the microscopic dynamics, the average domain size of the nonconserved order-parameter (staggered magnetization) field exhibits a power-law growth: $L_m(t)\\sim t^{1/2}$ at later times, irrespective of the mean value of the conserved order-parameter (composition) field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-24T08:34:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "domain growth",
      "power-law growth",
      "average domain size",
      "antiferromagnets",
      "universality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}