Physics
Scientific paper
May 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978izyak..42.1070k&link_type=abstract
(Vsesoiuznaia Konferentsiia po Kosmicheskim Lucham, Yakutsk, USSR, June 1977.) Akademiia Nauk SSSR, Izvestiia, Seriia Fizicheska
Physics
Charged Particles, Cosmic Rays, Galactic Radiation, Particle Acceleration, Shock Fronts, Plane Waves, Shock Wave Propagation, Time Dependence, Unsteady State
Scientific paper
The time-dependent problem of 'superadiabatic' charged-particle acceleration by the infinitely thin wavefront of a strong plane shock wave propagating in a homogeneous medium that contains small-scale magnetic-field inhomogeneities is analyzed. Equations for the accelerated-particle density are solved for specified boundary conditions at the shock front, and the solution behind the shock front is examined. A time-dependent solution is then obtained which satisfies both the initial and the boundary conditions. A power-law accelerated-particle spectrum with a spectral index that is a function of the adiabatic index is determined as the asymptotic limit to this solution for large times. It is shown that for the case of a perfect gas, this spectrum is in good agreement with that observed for galactic cosmic rays in the energy region above 10 GeV.
Bezrodnykh I. P.
Elshin V. K.
Krymskii G. F.
Romashchenko Iu. A.
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