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Effect of Synchrotron Losses on Multiple Diffusive Shock Acceleration

Published online by Cambridge University Press:  05 March 2013

Don Melrose
Affiliation:
Research Centre for Theoretical Astrophysics, School of Physics, University of Sydney, NSW 2006 Australia; d.melrose@physics.usyd.edu.au
Ashley Crouch
Affiliation:
Department of Mathematics, Monash University, Clayton, Vic. 3168, Australia; adcro2@student.monash.edu.au
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Abstract

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The effect of synchrotron losses on diffusive shock acceleration (DSA) at many shocks is treated numerically. Synchrotron losses determine a maximum energy to which electrons can be accelerated through DSA, and this is referred to as the synchrotron cutoff, pc . The distribution of accelerated electrons after many shocks is found (a) for a distribution injected at the initial shock, to tend to a plateau [f(p) independent of p ≲ 0·1pc ], and (b) for the cumulative distribution from injection at each shock to tend to f(p)p–b with b ≈ 3 well below the synchrotron cutoff with a peak in the slope (b min ≈ 2) at p ≲ 0·1pc . It is suggested that the latter result might account for the flat synchrotron spectra observed in some Galactic Centre sources.

Type
Research Article
Copyright
Copyright © Astronomical Society of Australia 1997

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