{
  "id": "1804.04194",
  "version": "v1",
  "published": "2018-04-11T20:03:24.000Z",
  "updated": "2018-04-11T20:03:24.000Z",
  "title": "A MAD Explanation for the Correlation between Bulk Lorentz Factor and Minimum Variability Timescale",
  "authors": [
    "Nicole M. Lloyd-Ronning",
    "Wei-hua Lei",
    "Wei Xie"
  ],
  "categories": [
    "astro-ph.HE"
  ],
  "abstract": "We offer an explanation for the anti-correlation between the minimum variability timescale ($MTS$) in the prompt emission light curve of gamma-ray bursts (GRBs) and the estimated bulk Lorentz factor of these GRBs, in the context of a magnetically arrested disk (MAD) model. In particular, we show that previously derived limits on the maximum available energy per baryon in a Blandford-Znajek jet leads to a relationship between the characteristic MAD timescale, $t_{MAD}$, in GRBs and the maximum bulk Lorentz factor: $t_{MAD} \\propto \\Gamma^{-6}$, somewhat steeper than (although within the error bars of) the fitted relationship found in the GRB data. Similarly, the MAD model also naturally accounts for the observed anti-correlation between $MTS$ and gamma-ray luminosity $L$ in the GRB data, and we estimate the accretion rates of the GRB disks (given these luminosities) in the context of this model. Both of these correlations ($MTS-\\Gamma$ and $MTS-L$) are also observed in the AGN data, and we discuss the implications of our results in the context of both GRB and blazar systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-11T20:03:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "minimum variability timescale",
      "mad explanation",
      "correlation",
      "grb data",
      "prompt emission light curve"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}