{
  "id": "2304.06394",
  "version": "v1",
  "published": "2023-04-13T10:54:15.000Z",
  "updated": "2023-04-13T10:54:15.000Z",
  "title": "Non-ideal reaction-diffusion systems: Multiple routes to instability",
  "authors": [
    "Timur Aslyamov",
    "Francesco Avanzini",
    "Étienne Fodor",
    "Massimiliano Esposito"
  ],
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.soft"
  ],
  "abstract": "We develop a general classification of the nature of the instabilities yielding spatial organization in open non-ideal reaction-diffusion systems. This encompasses dynamics where chemical species diffuse, interact with each other, and undergo chemical reactions driven out-of-equilibrium by external chemostats. We find analytically that these instabilities can be of two types: instabilities caused by molecular interactions (Cahn-Hilliard type), and instabilities caused by multimolecular out-of-equilibrium chemical reactions (Turing type). Furthermore, we identify a class of chemical reaction networks, extending beyond unimolecular networks, that can only undergo Cahn-Hilliard instabilities. We illustrate our analytical findings with numerical simulations on two reaction-diffusion models, each displaying one of the two types of instability.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-04-13T10:54:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "instability",
      "multiple routes",
      "open non-ideal reaction-diffusion systems",
      "undergo chemical reactions driven out-of-equilibrium",
      "multimolecular out-of-equilibrium chemical reactions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}