Compton Scattering in a Converging Fluid Flow - Part Two - Radiation Dominated Shock

Astronomy and Astrophysics – Astronomy

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The problem of Compton scattering in an optically thick fluid flow in which bulk motion is the dominant source of photon heating is illustrated by analysing a radiation-dominated, plane-parallel shock of speed μ with photon to electron ratio greatly exceeding ˜(mp/me). In traversing the shock (of thickness ˜(c/u) Thomson optical depths), a typical photon experiences (c/u)2 scatterings, each one giving a secular fractional energy increase ˜(u/c)2 and a total average increase of order unity. In a converging fluid flow, an exponentially small number of photons are accelerated to an exponentially large energy. Thus, a power-law spectrum will be transmitted at high frequencies. For a shock of Mach number M, bulk acceleration produces a spectral index α = (M2 - ½)(M2 - 1)2, which tends to unity for a strong shock. The applicability of these results to quasars and the microwave background is briefly discussed.

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