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2010ApJ...725...63B - Astrophys. J., 725, 63-90 (2010/December-2)

Relativistic radiation mediated shocks.

BUDNIK R., KATZ B., SAGIV A. and WAXMAN E.

Abstract (from CDS):

The structure of relativistic radiation mediated shocks (RRMSs) propagating into a cold electron-proton plasma is calculated and analyzed. A qualitative discussion of the physics of relativistic and non-relativistic shocks, including order of magnitude estimates for the relevant temperature and length scales, is presented. Detailed numerical solutions are derived for shock Lorentz factors Γu in the range 6 ≤ Γu≤ 30, using a novel iteration technique solving the hydrodynamics and radiation transport equations (the protons, electrons, and positrons are argued to be coupled by collective plasma processes and are treated as a fluid). The shock transition (deceleration) region, where the Lorentz factor Γ drops from Γu to ∼1, is characterized by high plasma temperatures T ∼ Γme c 2 and highly anisotropic radiation, with characteristic shock-frame energy of upstream (US) and downstream (DS) going photons of a fewxme c 2 and ~Γ2 me c 2, respectively. Photon scattering is dominated by e ± pairs, with the pair-to-proton density ratio reaching ~102Γu. The width of the deceleration region, in terms of Thomson optical depths for US-going photons, is large, Δτ ∼ Γ2u(Δτ ∼ 1 neglecting the contribution of pairs) due to Klein-Nishina suppression of the scattering cross section. A high-energy photon component, narrowly beamed in the DS direction, with a nearly flat power-law-like spectrum, νI ν∝ ν0, and an energy cutoff at ~Γ2umec 2 carries a fair fraction of the energy flux at the end of the deceleration region. An approximate analytic model of RRMS, reproducing the main features of the numerical results, is provided.

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Journal keyword(s): gamma-ray burst: general - radiation mechanisms: non-thermal - shock waves

Simbad objects: 2

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