Abstract
We present a new efficient method to compute Uehling–Uhlenbeck collision integral for any two-particle and three-particle interactions in relativistic plasma with drastic improvement in computation time with respect to existingmethods. Reaction rates are compared, where possible, with the corresponding analytical expressions and another numerical results.
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G. V. Vereshchagin and A. G. Aksenov (Cambridge University Press, 2017).
S. Weinberg, Cosmology (OUP Oxford, 2008), ISBN 9780198526827, URL https://books.google. by/books?id=rswTDAAAQBAJ.
T. Piran, Physics Reports 314, 575 (1999), astroph/9810256.
R. Ruffini, G. Vereshchagin, and S.-S. Xue, Physics Reports 487, 1 (2010), 0910.0974.
P. Kumar and B. Zhang, Physics Reports 561, 1 (2015), 1410.0679.
R. Antonucci, Astron. and Astrophys. Trans. 27, 557 (2012), 1210.2716.
P. Blandford, P. Netzer, P. Woltjer, T. Courvoisier, and P. Mayor, Active Galactic Nuclei, Saas-Fee Advanced Course (Springer Berlin Heidelberg, 2013), ISBN 9783662398166, URL https://books.google.by/books?id=JpvsCAAAQBAJ.
G. Fabbiano, Ann. Rev. Astron. Astrophys. 44, 323 (2006), astro-ph/0511481.
G. Sarri, K. Poder, J. M. Cole, W. Schumaker, A. di Piazza, B. Reville, T. Dzelzainis, D. Doria, L. A. Gizzi, G. Grittani, et al., Nature Communications 6, 6747 (2015).
R. Duclous, J. G. Kirk, and A. R. Bell, Plasma Physics and Controlled Fusion 53, 015009 (2011), URL http://stacks.iop.org/0741-3335 /53/i=1/a=015009.
T. Moritaka, L. Baiotti, A. Lin, L. Weiwu, Y. Sakawa, Y. Kuramitsu, T. Morita, and H. Takabe, Journal of Physics: Conference Series 454, 012016 (2013), URL http://stacks.iop.org/1742-6596/454/i=1/a=012016.
H. Chen, S. C. Wilks, J. D. Bonlie, E. P. Liang, J. Myatt, D. F. Price, D. D. Meyerhofer, and P. Beiersdorfer, Phys. Rev. Lett. 102, 105001 (2009), URL https://link.aps.org/doi/10.1103/PhysRevLett.102.105001.
A. G. Aksenov, M. Milgrom, and V. V. Usov, Astrophys. J. 609, 363 (2004), astro-ph/0309014.
A. G. Aksenov, R. Ruffini, and G. V. Vereshchagin, Phys. Rev. Lett. 99, 125003 (2007), 0707.3250.
A. G. Aksenov, R. Ruffini, and G. V. Vereshchagin, in AIP Conf. Ser., Ed. by G. Giobbi, A. Tornambe, G. Raimondo, M. Limongi, L. A. Antonelli, N. Menci, and E. Brocato (2009), vol. 1111 of AIP Conf. Ser., pp. 344–350.
A. G. Aksenov, R. Ruffini, and G. V. Vereshchagin, Phys. Rev. D 79, 043008 (2009), 0901.4837.
A. G. Aksenov, R. Ruffini, and G. V. Vereshchagin, in AIP Conf. Ser., Ed. by R. Ruffini and G. Vereshchagin (2010), vol. 1205 of AIP Conf. Ser., pp. 11–16.
A. G. Aksenov, R. Ruffini, and G. V. Vereshchagin, Phys. Rev. E 81, 046401 (2010), 1003.5616.
E. A. Uehling, Physical Review 46, 917 (1934).
E. A. Uehling and G. E. Uhlenbeck, Physical Review 43, 552 (1933).
J. Ehlers, in Relativity, Astrophysics and Cosmology (1973), pp. 1–125.
S. Groot, W. Leeuwen, and C. Weert, Relativistic Kinetic Theory: Principles and Applications (North-Holland Pub. Co., 1980), ISBN 9780444854537, URL http://books.google.com/books?id=wkZ-AAAAIAAJ.
W. Greiner and J. Reinhardt, Quantum Electrodynamics (Berlin, Springer, 2003).
V. B. Berestetskii, E. M. Lifshitz, and V. B. Pitaevskii, Quantum Electrodynamics (Elsevier, 1982), 2nd ed.
J. M. Jauch and F. Rohrlich, The Theory of Photons and Electrons. The Relativistic Quantum Field Theory of Charged Particles with Spin One-Half (Springer, New York, 1976).
F. Mandl and T. H. R. Skyrme, Royal Society of London Proceedings Series A 215, 497 (1952).
E. Haug and W. Nakel, The Elementary Process of Bremsstrahlung (World Scientific Publishing Co, 2004).
R. Svensson, Astrophys. J. 258, 321 (1982).
P. S. Coppi and R. D. Blandford, MNRAS 245, 453 (1990).
A. Pe’er and E. Waxman, Astrophys. J. 628, 857 (2005), astro-ph/0409539.
M. Ram and P. Y. Wang, Phys. Rev. Lett. 26, 476 (1971), URL https://link.aps.org /doi/10.1103/PhysRevLett.26.476.
R. Belmont, Astron. Astrophys. 506, 589 (2009), 0908.2705.
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Paper presented at the Third Zeldovich meeting, an international conference in honor of Ya.B. Zeldovich held in Minsk, Belarus on April 23–27, 2018. Published by the recommendation of the special editors: S.Ya. Kilin, R. Ruffini, and G.V. Vereshchagin.
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Prakapenia, M.A., Siutsou, I.A. & Vereshchagin, G.V. Numerical Scheme for Treatment of Uehling–Uhlenbeck Equation for Binary and Triple Interactions in Relativistic Plasma. Astron. Rep. 62, 926–932 (2018). https://doi.org/10.1134/S1063772918120284
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DOI: https://doi.org/10.1134/S1063772918120284