{
  "id": "0910.3633",
  "version": "v3",
  "published": "2009-10-19T18:18:20.000Z",
  "updated": "2010-02-26T09:28:18.000Z",
  "title": "Anisotropic Hydrodynamics, Bulk Viscosities and R-Modes of Strange Quark Stars with Strong Magnetic Fields",
  "authors": [
    "Xu-Guang Huang",
    "Mei Huang",
    "Dirk H. Rischke",
    "Armen Sedrakian"
  ],
  "comment": "19 pages, 10 figures. Published version",
  "journal": "Phys.Rev.D81:045015,2010",
  "doi": "10.1103/PhysRevD.81.045015",
  "categories": [
    "astro-ph.HE",
    "astro-ph.SR",
    "hep-ph",
    "nucl-th"
  ],
  "abstract": "In strong magnetic fields the transport coefficients of strange quark matter become anisotropic. We determine the general form of the complete set of transport coefficients in the presence of a strong magnetic field. By using a local linear response method, we calculate explicitly the bulk viscosities $\\zperp$ and $\\zpara$ transverse and parallel to the $B$-field respectively, which arise due to the non-leptonic weak processes $u+s\\leftrightarrow u+d$. We find that for magnetic fields $B<10^{17}$ G, the dependence of $\\zperp$ and $\\zpara$ on the field is weak, and they can be approximated by the bulk viscosity for zero magnetic field. For fields $B>10^{18}$ G, the dependence of both $\\zperp$ and $\\zpara$ on the field is strong, and they exhibit de Haas-van Alphen-type oscillations. With increasing magnetic field, the amplitude of these oscillations increases, which eventually leads to negative $\\zperp$ in some regions of parameter space. We show that the change of sign of $\\zperp$ signals a hydrodynamic instability. As an application, we discuss the effects of the new bulk viscosities on the r-mode instability in rotating strange quark stars. We find that the instability region in strange quark stars is affected when the magnetic fields exceeds the value $B= 10^{17}$ G. For fields which are larger by an order of magnitude, the instability region is significantly enlarged, making magnetized strange stars more susceptible to $r$-mode instability than their unmagnetized counterparts.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-02-26T09:28:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "21.65.Qr",
      "12.38.-t",
      "11.10.Wx",
      "12.38.Mh"
    ],
    "keywords": [
      "strong magnetic field",
      "strange quark stars",
      "bulk viscosity",
      "anisotropic hydrodynamics",
      "local linear response method"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review D",
      "year": 2010,
      "month": "Feb",
      "volume": 81,
      "number": 4,
      "pages": "045015"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 834443,
      "adsabs": "2010PhRvD..81d5015H"
    }
  }
}