{
  "id": "2411.00059",
  "version": "v1",
  "published": "2024-10-31T04:40:10.000Z",
  "updated": "2024-10-31T04:40:10.000Z",
  "title": "An Exact Solution for the Kinetic Ising Model with Non-Reciprocity",
  "authors": [
    "Gabriel Weiderpass",
    "Mayur Sharma",
    "Savdeep Sethi"
  ],
  "comment": "8 pages, LaTeX, 3 figues. arXiv admin note: text overlap with arXiv:2410.23615",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.soft",
    "hep-th",
    "nlin.SI"
  ],
  "abstract": "A wide range of non-equilibrium phenomena in nature involve non-reciprocal interactions. To understand the novel behaviors that can emerge in such systems, finding tractable models is essential. With this goal, we introduce a non-reciprocal generalization of the kinetic Ising model in one dimension and solve it exactly. Our solution uncovers novel properties driven by non-reciprocity, such as underdamped phases, critically damped phases where a system of size $N$ is described by an $N^{th}$-order exceptional point, and wave phenomena influenced by the parity of $N$. Additionally, we examine the low-energy behavior of these systems in various limits, demonstrating that non-reciprocity leads to unique scaling behavior at zero temperature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-10-31T04:40:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "kinetic ising model",
      "exact solution",
      "non-reciprocity",
      "solution uncovers novel properties driven",
      "order exceptional point"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}