{
  "id": "2009.04124",
  "version": "v1",
  "published": "2020-09-09T06:21:33.000Z",
  "updated": "2020-09-09T06:21:33.000Z",
  "title": "Multibalance conditions in nonequilibrium steady states",
  "authors": [
    "Indranil Mukherjee"
  ],
  "comment": "19 pages, 10 figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study a new balance condition Multibalance to obtain the nonequilibrium steady states of a class of nonequilibrium lattice models on a ring where a particle hops from a particular site to its nearest and next nearest neighbors. For the well-known zero range process (ZRP) with asymmetric hop rates, with this balance condition, we obtain the conditions on hop rates that lead to a factorized steady state. We show that this balance conditions gives the cluster-factorized steady state for finite range process (FRP) and other models. We also discuss the application of Multibalance condition to two species FRP models with hop rates ranging up to K nearest neighbors.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-09T06:21:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonequilibrium steady states",
      "multibalance condition",
      "nearest neighbors",
      "well-known zero range process",
      "species frp models"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}