naa a22 4500 510789900 CHVBK 20180411083316.0 cr unu---uuuuu 180411e20130601xx s 000 0 eng 10.1134/S1063773713060017 doi (NATIONALLICENCE)springer-10.1134/S1063773713060017 Shock acceleration of solar cosmic rays [Elektronische Daten] [E. Berezhko, S. Taneev] The solar cosmic ray (SCR) acceleration by the shocks driven by coronal mass ejections is studied by taking into account the generation of Alfvén waves by accelerated particles. Detailed numerical calculations of the SCR spectra produced during the shock propagation through the solar corona have been performed within a quasi-linear approach with a realistic set of coronal parameters. The resultant SCR energy spectrum is shown to include a power-law part N ∝ ɛ-γ with an index γ = 1.7-3.5 that ends with an exponential tail. The maximum SCR energy lies within the range ɛ max = 0.01-10 GeV, depending on the shock velocity V S = 750-2500 km s−1. The decrease of the shock Alfvénic Mach number due to the increase Alfvén velocity with heliocentric distance r leads to the end of the efficient SCR acceleration when the shock size reaches R S ≈ 4R ⊙. In this case, the diffusive SCR propagation begins to exceed the shock velocity; as a result, SCRs escape intensively from the shock vicinity. The self-consistent generation of Alfvén waves by accelerated particles is accompanied by a steepening of the particle spectrum and an increase of their maximum energy. Comparison of the calculated SCR fluxes expected near the Earth's orbit with the available experimental data shows that the theory explains the main observed features. Pleiades Publishing, Ltd., 2013 plasma astrophysics nationallicence hydrodynamics and shock waves nationallicence solar corona nationallicence diffusive shock acceleration nationallicence solar cosmic rays nationallicence Alfvén wave generation nationallicence Berezhko E. Shafer Institute of Cosmophysical Research and Aeronomy, Siberian Branch, Russian Academy of Sciences, pr. Lenina 31, 677980, Yakutsk, Russia aut Taneev S. Shafer Institute of Cosmophysical Research and Aeronomy, Siberian Branch, Russian Academy of Sciences, pr. Lenina 31, 677980, Yakutsk, Russia aut Astronomy Letters SP MAIK Nauka/Interperiodica 39/6(2013-06-01), 393-403 1063-7737 39:6<393 2013 39 11443 https://doi.org/10.1134/S1063773713060017 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1134/S1063773713060017 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Berezhko E. Shafer Institute of Cosmophysical Research and Aeronomy, Siberian Branch, Russian Academy of Sciences, pr. Lenina 31, 677980, Yakutsk, Russia aut NATIONALLICENCE 700 1- Taneev S. Shafer Institute of Cosmophysical Research and Aeronomy, Siberian Branch, Russian Academy of Sciences, pr. Lenina 31, 677980, Yakutsk, Russia aut NATIONALLICENCE 773 0- Astronomy Letters SP MAIK Nauka/Interperiodica 39/6(2013-06-01), 393-403 1063-7737 39:6<393 2013 39 11443 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer