Journal
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
Volume 427, Issue 2, Pages 1329-1343Publisher
WILEY-BLACKWELL
DOI: 10.1111/j.1365-2966.2012.21994.x
Keywords
hydrodynamics; radiationmechanisms: non-thermal; radiative transfer; shock waves; gamma-ray burst: general
Categories
Funding
- NOVA
- NASA [NNX10AF62G]
- NSF [AST-1009863]
- ERC [247295]
- NASA [NNX10AF62G, 134523] Funding Source: Federal RePORTER
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We present analytic flux prescriptions for broad-band spectra of self-absorbed and optically thin synchrotron radiation from gamma-ray burst afterglows, based on 1D relativistic hydrodynamic simulations. By treating the evolution of critical spectrum parameters as a power-law break between the ultrarelativistic and non-relativistic asymptotic solutions, we generalize the prescriptions to any observer time. Our aim is to provide a set of formulas that constitutes a useful tool for accurate fitting of model parameters to observational data, regardless of the dynamical phase of the outflow. The applicability range is not confined to gamma-ray burst afterglows, but includes all spherical outflows (also jets before the jet-break) that produce synchrotron radiation as they adiabatically decelerate in a cold, power-law medium. We test the accuracy of the prescriptions and show that numerical evidence suggests that typical relative errors in the derivation of physical quantities are about 10 per cent. A software implementation of the presented flux prescriptions combined with a fitting code is freely available on request and online.(1) Together they can be used in order to directly fit model parameters to data.
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