{
  "id": "1509.03124",
  "version": "v1",
  "published": "2015-09-10T12:32:29.000Z",
  "updated": "2015-09-10T12:32:29.000Z",
  "title": "A continuum model for nematic alignment of self-propelled particles",
  "authors": [
    "Pierre Degond",
    "Angelika Manhart",
    "Hui Yu"
  ],
  "categories": [
    "math.AP",
    "q-bio.CB"
  ],
  "abstract": "A continuum model for a population of self-propelled particles interacting through nematic alignment is derived from an individual-based model. The methodology consists of introducing a hydrodynamic scaling of the corresponding mean-field kinetic equation. The resulting perturbation problem is solved thanks to the concept of generalized collision invariants. It yields a hyperbolic but non-conservative system of equations for the nematic mean direction of the flow and the densities of particles flowing parallel or anti-parallel to this mean direction. Diffusive terms are introduced under a weakly non-local interaction assumption and the diffusion coefficient is proven to be positive. An application to the modeling of myxobacteria is outlined.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-10T12:32:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L60",
      "35K55",
      "35Q80",
      "82C05",
      "82C22",
      "82C70",
      "92D50"
    ],
    "keywords": [
      "continuum model",
      "nematic alignment",
      "self-propelled particles",
      "weakly non-local interaction assumption",
      "corresponding mean-field kinetic equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150903124D"
    }
  }
}