Abstract
MHD flows with transrelativistic 4-velocities Γβ ~ 1, which are realized in Ib/c-type supernovae and after the coalescence of neutron stars, are interesting as potential cosmic ray sources. We report on the results of simulation of acceleration of very high-energy cosmic rays in astrophysical objects with transrelativistic MHD flows and shock waves. A nonlinear model of transport and acceleration of ultrarelativistic particles is constructed with account for the back-reaction effect of accelerated particles on the local structure of the flow near a shock and the mechanisms of superadiabatic enhancement of fluctuating magnetic fields. The spectra of accelerated particles are calculated. It is shown that the maximal energies of protons accelerated by transrelativistic MHD flows can noticeably exceed 1015 eV and can contribute to the observed cosmic ray fluxes near the spectral knee.
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REFERENCES
V. L. Ginzburg and S. I. Syrovatskii, The Origin of Cosmic Rays (Akad. Nauk SSSR, Moscow, 1963; Pergamon, London, New York, 1964).
A. M. Hillas, J. Phys. G 31, 95 (2005).
M. Lemoine and E. Waxman, J. Cosmol. Astropart. Phys. 11, 009 (2009).
K. V. Ptitsyna and S. V. Troitsky, Phys. Usp. 53, 691 (2010).
J. H. Matthews, A. R. Bell, K. M. Blundell, and A. T. Araudo, Mon. Not. R. Astron. Soc. 482, 4303 (2019).
G. T. Zatsepin and A. E. Chudakov, Sov. Phys. JETP 14, 469 (1962).
F. Aharonian, A. G. Akhperjanian, A. R. Bazer-Bachi, et al., Astron. Astrophys. 449, 223 (2006).
F. Acero, M. Lemoine-Goumard, M. Renaud, et al., Astron. Astrophys. 580, 74 (2015).
S. Funk, Ann. Rev. Nucl. Part. Sci. 65, 245 (2015).
E. G. Berezhko, V. K. Elshin, and L. T. Ksenofontov, J. Exp. Theor. Phys. 82, 1 (1996).
D. C. Ellison, P. Slane, D. J. Patnaude, et al., Astrophys. J. 744, 39 (2012).
V. Ptuskin, V. Zirakashvili, and Eun-Suk Seo, Astrophys. J. 763, 47 (2013).
N. M. Budnev, A. Chiavassa, O. A. Gress, et al., Astropart. Phys. 117, 102406 (2020).
A. M. Bykov, Phys. Usp. 61, 805 (2018).
A. M. Bykov, D. C. Ellison, A. Marcowith, and S. M. Osipov, Space Sci. Rev. 214, 41 (2018).
X.-Y. Wang, S. Razzaque, P. Mészáros, and Z.-G. Dai, Phys. Rev. D 76, 083009 (2007).
R. Budnik, B. Katz, A. MacFadyen, et al., Astrophys. J. 673, 928 (2008).
S. Chakraborti, A. Ray, A. M. Soderberg, et al., Nat. Commun. 2, 175 (2011).
M. Lemoine and G. Pelletier, Mon. Not. R. Astron. Soc. 402, 321 (2010).
B. Reville and A. Bell, Mon. Not. R. Astron. Soc. 439, 2050 (2014).
A. R. Bell, A. T. Araudo, J. H. Matthews, and K. M. Blundell, Mon. Not. R. Astron. Soc. 471, 2364 (2018).
R. A. Chevalier, Astrophys. J. 499, 810 (1998).
M. Pohl, M. Hoshino, and J. Niemiec, Progr. Part. Nucl. Phys. 111, 103751 (2020).
V. I. Romansky, A. M. Bykov, and S. M. Osipov, J. Phys.: Conf. Ser. 1038, 012022 (2018).
V. I. Romansky, A. M. Bykov, and S. M. Osipov, J. Phys.: Conf. Ser. 1040, 022005 (2019).
P. Crumley, D. Caprioli, S. Markoff, and A. Spitkovsky, Mon. Not. R. Astron. Soc. 485, 5105 (2019).
A. Ligorini, J. Niemiec, O. Kobzar, et al., Mon. Not. R. Astron. Soc. 502, 5065 (2021).
Y. Nagar and U. Keshet, Mon. Not. R. Astron. Soc. 501, 329 (2021).
D. C. Ellison, D. C. Warren, and A. M. Bykov, Astrophys. J. 776, 46 (2013).
A. M. Bykov, A. Brandenburg, M. A. Malkov, and S. M. Osipov, Space Sci. Rev. 178, 201 (2013).
A. M. Bykov, D. C. Ellison, S. M. Osipov, and A. E. Vladimirov, Astrophys. J. 789, 137 (2014).
J. Derouillat, A. Beck, F. Perez, et al., Comput. Phys. Commun. 222, 351 (2018).
D. C. Ellison and D. C. Eichler, Astrophys. J. 286, 691 (1984).
F. C. Jones and D. C. Ellison, Space Sci. Rev. 58, 259 (1991).
D. C. Ellison, M. G. Baring, and F. C. Jones, Astrophys. J. 473, 1029 (1996).
A. E. Vladimirov, A. M. Bykov, and D. C. Ellison, Astrophys. J. 688, 1084 (2008).
A. E. Vladimirov, A. M. Bykov, and D. C. Ellison, Astrophys. J. Lett. 703, L29 (2009).
A. E. Vladimirov, PhD Thesis (USA, 2009); https://arxiv.org/abs/0904.3760.
A. R. Bell, Mon. Not. R. Astron. Soc. 353, 550 (2004).
W. H. Matthaeus, S. Oughton, and Y. Zhou, Phys. Rev. E 79, 035401(R) (2009).
A. M. Soderberg, S. Chakraborti, G. Pignata, et al., Nature (London, U.K.) 463, 513 (2010).
W. Li, J. Leaman, R. Chornock, et al., Mon. Not. R. Astron. Soc. 412, 1441 (2011).
ACKNOWLEDGMENTS
The authors are grateful to the reviewer of the article for constructive remark.
Funding
This study was supported by the Russian Science Foundation (project no. 21-72-20020). The results of this study were obtained using computer resources of the International Supercomputer Center of the Russian Academy of Sciences and the Supercomputer Center of the Peter the Great St. Petersburg Polytechnic University (scc.spbstu.ru).
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This article was written for the special JETP issue dedicated to centenary of A.E. Chudakov
Translated by N. Wadhwa
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Bykov, A.M., Osipov, S.M. & Romanskii, V.I. Acceleration of Cosmic Rays to Energies above 1015 eV by Transrelativistic Shocks. J. Exp. Theor. Phys. 134, 487–497 (2022). https://doi.org/10.1134/S1063776122040161
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DOI: https://doi.org/10.1134/S1063776122040161