{
  "id": "2311.10464",
  "version": "v1",
  "published": "2023-11-17T11:34:15.000Z",
  "updated": "2023-11-17T11:34:15.000Z",
  "title": "Interplay of phase segregation and chemical reaction: Crossover and effect on growth laws",
  "authors": [
    "Shubham Thwal",
    "Suman Majumder"
  ],
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "By combining the nonconserved spin-flip dynamics driving ferromagnetic ordering with the conserved Kawasaki-exchange dynamics driving phase segregation, we perform Monte Carlo simulations of the nearest neighbor Ising model. Such a set up mimics a system consisting of a binary mixture of \\emph{isomers} which is simultaneously undergoing a segregation and an \\emph{interconversion} reaction among themselves . Here, we study such a system following a quench from the high-temperature homogeneous phase to a temperature below the demixing transition. We monitor the growth of domains of both the \\emph{winner}, the \\emph{isomer} which survives as the majority and the \\emph{loser}, the \\emph{isomer} that perishes. Our results show a strong interplay of the two dynamics at early times leading to a growth of the average domain size of both the \\emph{winner} and \\emph{loser} as $\\sim t^{1/7}$, slower than a purely phase-segregating system. At later times, eventually the dynamics becomes reaction dominated, and the \\emph{winner} exhibits a $\\sim t^{1/2}$ growth, expected for a system with purely nonconserved dynamics. On the other hand, the \\emph{loser} at first show a faster growth, albeit, slower than the \\emph{winner}, and then starts to decay before it almost vanishes. Further, we estimate the time $\\tau_s$ marking the crossover from the early-time slow growth to the late-time reaction dominated faster growth. As a function of the reaction probability $p_r$, we observe a power-law scaling $\\tau_s \\sim p_r^{-x}$, where $x\\approx 1.05$, irrespective of temperature. For a fixed value of $p_r$ too, $\\tau_s$ appears to be independent of temperature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-17T11:34:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "growth laws",
      "chemical reaction",
      "spin-flip dynamics driving ferromagnetic",
      "dynamics driving phase segregation",
      "reaction dominated faster growth"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}