Diffusive synchrotron radiation from relativistic shocks in gamma-ray burst sources

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Abstract

The spectrum of electromagnetic emission generated by relativistic electrons scattered on small-scale random magnetic fields, implied by current models of the magnetic field generation in the gamma-ray burst sources, is considered. The theory developed includes both perturbative and nonperturbative versions and therefore suggests a general treatment of the radiation in an arbitrary small-scale random field. It is shown that a general treatment of the random nature of the small-scale magnetic field, as well as angular diffusion of the electrons due to multiple scattering by magnetic inhomogeneities (i.e., nonperturbative effects), gives rise to a radiation spectrum that differs significantly from the so-called "jitter" spectrum. The spectrum of diffusive synchrotron radiation seems to be consistent with the low-energy spectral index distribution of the gamma-ray bursts.

Original languageEnglish (US)
Pages (from-to)348-353
Number of pages6
JournalAstrophysical Journal
Volume638
Issue number1 I
DOIs
StatePublished - Feb 10 2006

All Science Journal Classification (ASJC) codes

  • Astronomy and Astrophysics
  • Space and Planetary Science

Keywords

  • Acceleration of particles
  • Gamma rays: bursts
  • Radiation mechanisms: nonthermal -relativity
  • Turbulence

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