{
  "id": "0706.0450",
  "version": "v1",
  "published": "2007-06-04T15:05:02.000Z",
  "updated": "2007-06-04T15:05:02.000Z",
  "title": "Universal properties of population dynamics with fluctuating resources",
  "authors": [
    "Sayak Mukherjee",
    "H. K. Janssen",
    "B. Schmittmann"
  ],
  "comment": "4 Pages",
  "doi": "10.1016/j.physa.2007.04.071",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Starting from the well-known field theory for directed percolation, we describe an evolving population, near extinction, in an environment with its own nontrivial spatio-temporal dynamics. Here, we consider the special case where the environment follows a simple relaxational (Model A) dynamics. Two new operators emerge, with upper critical dimension of four, which couple the two theories in a nontrivial way. While the Wilson-Fisher fixed point remains completely unaffected, a mismatch of time scales destabilizes the usual DP fixed point, suggesting a crossover to a first order transition from the active (surviving) to the inactive (extinct) state.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-06-04T15:05:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "universal properties",
      "population dynamics",
      "fluctuating resources",
      "first order transition",
      "usual dp fixed point"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Physica A Statistical Mechanics and its Applications",
      "year": 2007,
      "month": "Oct",
      "volume": 384,
      "number": 1,
      "pages": 80
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007PhyA..384...80M"
    }
  }
}