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Steady-state solutions of the non-linear shock acceleration problem

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Reville,  Brian
Division Prof. Dr. Werner Hofmann, MPI for Nuclear Physics, Max Planck Society;

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Kirk,  John G.
Division Prof. Dr. Werner Hofmann, MPI for Nuclear Physics, Max Planck Society;

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Reville, B., Kirk, J. G., & Duffy, P. (2008). Steady-state solutions of the non-linear shock acceleration problem. Talk presented at 4th Heidelberg International Symposium on High Energy Gamma-Ray Astronomy. Heidelberg, Germany. 2008-07-07 - 2008-07-11.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0011-790E-C
Abstract
Stationary solutions in the non-linear theory of diffusive shock acceleration play a fundamental role in the theory of cosmic-ray acceleration. Their existence usually requires that a fraction of accelerated particles be allowed to escape from the system. This condition is incorporated into analyses of the kinetic equations by introducing an upper cut-off to the particle energy. However, the form of the distribution function close to the cut-off - a diagnostic that is accessible to observation - cannot be described using this method. We develop an alternative approach in which particles escape over a boundary placed at a finite distance upstream of the shock front, and compare results with an upper momentum cut-off approach. We motivate the selection of distance to the free escape boundary by calculating the flux of escaping particles at the boundary, and determine whether the produced currents can drive non-linear turbulence.