{
  "id": "2409.08050",
  "version": "v1",
  "published": "2024-09-12T13:53:40.000Z",
  "updated": "2024-09-12T13:53:40.000Z",
  "title": "Non-universality of aging during phase separation of the two-dimensional long-range Ising model",
  "authors": [
    "Fabio Müller",
    "Henrik Christiansen",
    "Wolfhard Janke"
  ],
  "categories": [
    "cond-mat.stat-mech",
    "physics.comp-ph"
  ],
  "abstract": "We investigate the aging properties of phase-separation kinetics following quenches from $T=\\infty$ to a finite temperature below $T_c$ of the paradigmatic two-dimensional conserved Ising model with power-law decaying long-range interactions $\\sim r^{-(2 + \\sigma)}$. Physical aging with a power-law decay of the two-time autocorrelation function $C(t,t_w)\\sim \\left(t/t_w\\right)^{-\\lambda/z}$ is observed, displaying a complex dependence of the autocorrelation exponent $\\lambda$ on $\\sigma$. A value of $\\lambda=3.500(26)$ for the corresponding nearest-neighbor model (which is recovered as the $\\sigma \\rightarrow \\infty$ limes) is determined. The values of $\\lambda$ in the long-range regime ($\\sigma < 1$) are all compatible with $\\lambda \\approx 4$. In between, a continuous crossover is visible for $1 \\lesssim \\sigma \\lesssim 2$ with non-universal, $\\sigma$-dependent values of $\\lambda$. The performed Metropolis Monte Carlo simulations are primarily enabled by our novel algorithm for long-range interacting systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-12T13:53:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "two-dimensional long-range ising model",
      "phase separation",
      "two-dimensional conserved ising model",
      "non-universality",
      "performed metropolis monte carlo simulations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}