Issues

 / 

2021

 / 

May

  

Methodological notes


Free electron gas and electron—positron pair equilibrium in a magnetic field

 a, b, c,  b, d
a Moscow Institute of Physics and Technology (National Research University), Institutskii per. 9, Dolgoprudny, Moscow Region, 141701, Russian Federation
b Space Research Institute, Russian Academy of Sciences, Profsoyuznaya str. 84/32, Moscow, 117997, Russian Federation
c National Research Nuclear University ‘MEPhI’, Kashirskoe shosse 31, Moscow, 115409, Russian Federation
d National Research University Higher School of Economics, ul. Myasnitskaya 20, Moscow, 101000, Russian Federation

The thermodynamic properties of electron gas under the extreme conditions of high temperature, high matter density, and/or a strong magnetic field largely determine the behavior of matter in upper layers of neutron stars and accretion columns of magnetized neutron stars in binary systems. A strong magnetic field in these objects makes the motion of electrons across the field essentially quantum. The possible electron degeneracy and relativism of electrons are also important. When studying accretion onto a magnetar in a binary system, the prolific generation of electron—positron pairs in the quantizing magnetic field should also be taken into account. We consider in detail the thermodynamic properties of a gas of free electrons in strong magnetic fields, taking into account their relativism and degeneracy, as well as the equilibrium creation of electron—positron pairs in a high-temperature plasma in the presence of a quantizing magnetic field.

Fulltext pdf (511 KB)
Fulltext is also available at DOI: 10.3367/UFNe.2020.08.038827
Keywords: Fermi gas, magnetic field, Landau levels, electron—positron pairs, neutron stars
PACS: 05.30.Fk, 71.70.Di, 97.60.Jd (all)
DOI: 10.3367/UFNe.2020.08.038827
URL: https://ufn.ru/en/articles/2021/5/e/
000691278700005
2-s2.0-85112600467
2021PhyU...64..515B
Citation: Bisnovatyi-Kogan G S, Kondratyev I A "Free electron gas and electron—positron pair equilibrium in a magnetic field" Phys. Usp. 64 515–528 (2021)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 1st, May 2020, revised: 12th, August 2020, 21st, August 2020

Оригинал: Бисноватый-Коган Г С, Кондратьев И А «Газ свободных электронов и равновесие электрон-позитронных пар в магнитном поле» УФН 191 543–557 (2021); DOI: 10.3367/UFNr.2020.08.038827

References (99) ↓ Similar articles (20)

  1. Uhlenbeck G E, Goudsmit S Nature 117 264 (1926)
  2. Pauli W Z. Phys. 31 765 (1925)
  3. Fermi E Rendiconti Lincei 3 145 (1926); Per. na angl. yaz., Fermi E "On the quantization of the monoatomic ideal gas" cond-mat/9912229, (Translated by Zannoni A)
  4. Dirac P A M Proc. R. Soc. Lond. A 112 661 (1926)
  5. Sommerfeld A Naturwissenschaften 15 825 (1927)
  6. Bose Z. Phys. 26 178 (1924)
  7. Einstein A Sitzungsber. Preuß. Akad. Wiss. Phys.-Math. Kl. 261-267 (1924)
  8. Pauli W Phys. Rev. 58 716 (1940)
  9. Fowler R H Mon. Not. R. Astron. Soc. 87 114 (1926)
  10. Frenkel J Z. Phys. 50 234 (1928)
  11. Stoner E C Philos. Mag. 9 944 (1930)
  12. Thomas E G Philos. Mag. 91 3416 (2011)
  13. Chandrasekhar S Philos. Mag. 11 592 (1931)
  14. Chandrasekhar S Astrophys. J. 74 81 (1931)
  15. Landau L D Phys. Z. Sowjetunion 1 285 (1932); Per. na russk. yaz., Landau L D Sobranie Trudov Vol. 1 (M.: Nauka, 1969) p. 86
  16. Yakovlev D G Usp. Fiz. Nauk 164 653 (1994); Yakovlev D G Phys. Usp. 37 609 (1994)
  17. Bohr N Collected Works Vol. 1 (Ed. J R Nielsen) (Amsterdam: North-Holland, 1972) p. 163, 165-393
  18. van Leeuwen H-J J. Phys. Radium. 2 (12) 361 (1921)
  19. Pauli W (Jr.) Z. Phys. 43 601 (1927)
  20. Pauli W (Jr.) Z. Phys. 41 81 (1927)
  21. Landau L D Z. Phys. 64 629 (1930); Per. na russk. yaz., Landau L D Sobranie Trudov Vol. 1 (M.: Nauka, 1969) p. 47
  22. Rumer Yu B Zh. Eksp. Teor. Fiz. 18 1082 (1948)
  23. Landau L D, Lifshits E M Statisticheskaya Fizika Vol. 1 (M.: Nauka, 1976); Per. na angl. yaz., Landau L D, Lifshitz E M Statistical Physics Vol. 1 (Oxford: Pergamon Press, 1980)
  24. de Haas W J, van Alphen P M Commun. Phys. Lab. Univ. Leiden (208d) (1930); de Haas W J, van Alphen P M Commun. Phys. Lab. Univ. Leiden (212a) (1930)
  25. Schubnikow L, de Haas W J Proc. R. Netherlands Acad. Arts Sci. 33 130 (1930)
  26. Brandt N B, Chudinov S M Usp. Fiz. Nauk 137 479 (1982); Brandt N B, Chudinov S M Sov. Phys. Usp. 25 518 (1982)
  27. Shul’man G A Izv. Vuzov. Fizika (10) 24 (1974); Shul’man G A Sov. Phys. J. 17 1355 (1974)
  28. Potekhin A Y Astron. Astrophys. 306 999 (1996)
  29. Koester D, Chanmugam G Rep. Prog. Phys. 53 837 (1990)
  30. Ostriker J P, Hartwick F D A Astrophys. J. 153 797 (1968)
  31. Bera P, Bhattacharya D Mon. Not. R. Astron. Soc. 445 3951 (2014)
  32. Ferrario L, de Martino D, Gänsicke B T Space Sci. Rev. 191 111 (2015)
  33. Howell D A et al Nature 443 308 (2006)
  34. Hewish A et al Nature 217 709 (1968)
  35. Giacconi R et al Astrophys. J. 67 (1971)
  36. Bisnovatyi-Kogan G S Fizicheskie Voprosy Teorii Zvezdnoi Evolyutsii (M.: Nauka, 1989); Per. na angl. yaz., Bisnovatyi-Kogan G S Stellar Physics Vol. 1 Fundamental Concepts And Stellar Equilibrium (Berlin: Springer, 2001)
  37. Zel’dovich Ya B, Novikov I D Relyativistskaya Astrofizika (M.: Nauka, 1967); Per. na angl. yaz., Zeldovich Ya B, Novikov I D Relativistic Astrophysics Vol. 1 Stars And Relativity (Chicago, Ill.: Univ. of Chicago Press, 1971)
  38. Ostriker J P, Gunn J E Astrophys. J. 157 1395 (1969)
  39. Ginzburg V L Usp. Fiz. Nauk 103 393 (1971); Ginzburg V L Sov. Phys. Usp. 14 83 (1971)
  40. Duncan R C, Thompson C Astrophys. J. Lett. 392 L9 (1992)
  41. Mazets E P et al Nature 282 587 (1979)
  42. Mazets E P, Golenetskii S V, Gur’yanov Ya A Pis’ma Astron. Zhurn. 5 641 (1979); Mazets E P, Golenetskii S V, Gur’yan Ya A Sov. Astron. Lett. 5 343 (1979)
  43. Kouveliotou C et al Astrophys. J. 510 L115 (1999)
  44. Bisnovatyi-Kogan G S Young Neutron Stars With Soft Gamma Ray Emission, And Anomalous X-Ray Pulsars (Handbook Of Supernovae, Eds A Alsabti, P Murdin) (Berlin: Springer, 2017) p. 1401
  45. Canuto V, Chiu H-Y Phys. Rev. 173 1210 (1968)
  46. Canuto V, Chiu H-Y Phys. Rev. 173 1220 (1968)
  47. Canuto V, Chiu H-Y Phys. Rev. 173 1229 (1968)
  48. Canuto V, Chiu H Y, Fassio-Canuto L Astrophys. Space Sci. 3 258 (1969)
  49. Canuto V, Ventura J Fundamentals Cosmic Phys. 2 203 (1977)
  50. Blandford R D, Hernquist L J. Phys. C 15 6233 (1982)
  51. Abrahams A M, Shapiro S L Astrophys. J. 374 652 (1991)
  52. Lai D, Shapiro S L Astrophys. J. 383 745 (1991)
  53. Lai D Rev. Mod. Phys. 73 629 (2001)
  54. Shul’man G A Izv. Vuzov. Fizika (9) 3 (1993); Shul’man G A Russ. Phys. J. 36 809 (1993)
  55. Shul’man G A Izv. Vuzov. Fizika (1) 102 (1994); Shul’man G A Russ. Phys. J. 37 91 (1994)
  56. Broderick A, Prakash M, Lattimer J M Astrophys. J. 537 351 (2000)
  57. Ferrer E J et al Phys. Rev. C 82 065802 (2010)
  58. Strickland M, Dexheimer V, Menezes D P Phys. Rev. D 86 125032 (2012)
  59. Duncan R C AIP Conf. Proc. 526 830 (2000)
  60. Chandrasekhar S, Fermi E Astrophys. J. 118 116 (1953)
  61. Bisnovatyi-Kogan G S, Zel’dovich Ya B, Syunyaev R A Astron. Zhurn. 48 (1) 24 (1971); Bisnovatyi-Kogan G S, Zel’dovich, Ya B, Syunyaev R A Sov. Astron. 15 17 (1971)
  62. Svensson R Astrophys. J. 258 335 (1982)
  63. Ruffini R, Vereshchagin G, Xue S-S Phys. Rep. 487 1 (2010)
  64. Pinaeva G V Astron. Zhurn. 41 25 (1964); Pinaeva G V Sov. Astron. 8 17 (1964)
  65. Imshennik V S, Nadezhin D K Astron. Zhurn. 42 1154 (1965); Imshennik V S, Nadezhin D K Sov. Astron. 9 896 (1966)
  66. Bisnovatyi-Kogan G S, Kazhdan Ya M Astron. Zhurn. 43 761 (1966); Bisnovatyi-Kogan G S, Kazhdan Ya M Sov. Astron. 10 604 (1967)
  67. Nadezhin D K Nauchnye Informatsii (32) 3 (1974)
  68. Nadezhin D K Nauchnye Informatsii (33) 117 (1974)
  69. Blinnikov S I, Dunina-Barkovskaya N V, Nadyozhin D K Astrophys. J. Suppl. 106 171 (1996)
  70. Heisenberg W, Euler H Z. Phys. 98 714 (1936)
  71. Ivanov M A, Shul’man G A Izv. Vuzov. Fizika (9) 122 (1977); Ivanov M A, Shul’man G A Sov. Phys. J. 20 1220 (1977)
  72. Ivanov M A, Shul’man G A Izv. Vuzov. Fizika (3) 60 (1978); Ivanov M A, Shul’man G A Sov. Phys. J. 21 317 (1978)
  73. Shul’man G A, Sekerzhitskii V S Astrofizika 13 165 (1977); Shul’man G A, Sekerzhitskii V S Astrophysics 13 84 (1977)
  74. Vshivtsev A S i dr Astron. Zhurn. 66 489 (1989); Vshivtsev A S et al Sov. Astron. 33 249 (1989)
  75. Bagrov V G Teoriya Izlucheniya Relyativistskikh Chastits (Pod red. V A Bordovitsyna) (M.: Fizmatlit, 2002) p. 156
  76. Mitrofanov I G, Pozanenko A S Zh. Eksp. Teor. Fiz. 93 1951 (1987); Mitrofanov I G, Pozanenko A S Sov. Phys. JETP 66 1112 (1987)
  77. Berestetskii V B, Lifshits E M, Pitaevskii L P Kvantovaya Elektrodinamika (M.: Fizmatlit, 2001); Per. na angl. yaz., Berestetskii V B, Lifshitz E M, Pitaevskii L P Quantum Electrodynamics (Oxford: Pergamon Press, 1982)
  78. Kaminker A D et al Phys. Rev. D 46 3256 (1992)
  79. Kaminker A D, Yakovlev D G Zh. Eksp. Teor. Fiz. 103 438 (1993); Kaminker A D, Yakovlev D G J. Exp. Theor. Phys. 76 229 (1993)
  80. Van Riper K A Astrophys. J. 329 339 (1988)
  81. Harding A K, Lai D Rep. Prog. Phys. 69 2631 (2006)
  82. Mushtukov A A, Ognev I S, Nagirner D I Mon. Not. R. Astron. Soc. 485 L131 (2019)
  83. Patruno A et al Mon. Not. R. Astron. Soc. 370 L6 (2006)
  84. Begelman M C Astrophys. J. 568 L97 (2002)
  85. Podsiadlowski Ph, Rappaport S, Han Z Mon. Not. R. Astron. Soc. 341 385 (2003)
  86. Fabrika S, Vinokurov A, Atapin K Proc. Of The Fourteenth Marcel Grossmann Meeting On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics, And Relativistic Field Theories, 12-18 July 2015, Rome, Italy (Eds M Bianchi, R T Jansen, R Ruffini) (Singapore: World Scientific, 2018) p. 1023
  87. Bachetti M et al Nature 514 202 (2014)
  88. Carpano S, Jin C Mon. Not. R. Astron. Soc. 477 3178 (2018)
  89. Bisnovatyi-Kogan G S, Fridman A M Astron. Zhurn. 46 721 (1969); Bisnovatyi-Kogan G S, Fridman A M Sov. Astron. 13 566 (1970)
  90. Basko M M, Sunyaev R A Mon. Not. R. Astron. Soc. 175 395 (1976)
  91. Fowler W A, Hoyle F Astrophys. J. Suppl. 9 201 (1964)
  92. Kubo R Statistical Mechanics, An Advanced Course With Problems And Solutions (Amsterdam: North-Holland, 1965)
  93. Hakim R Introduction To Relativistic Statistical Mechanics: Classical And Quantum (Hackensack, NJ: World Scientific, 2011)
  94. Landau L D, Lifshits E M Kvantovaya Mekhanika. Nerelyativistskaya Teoriya (M.: Fizmatlit, 1963); Per. na angl. yaz., Landau L D, Lifshitz E M Quantum Mechanics. Non-Relativistic Theory (Oxford: Pergamon Press, 1965)
  95. Sokolov A A, Ternov I M Relyativistskii Elektron (M.: Nauka, 1983); Per. na angl. yaz., Sokolov A A, Ternov I M Radiation From Relativistic Electrons (New York: American Institute of Physics, 1986)
  96. Landau L D, Lifshits E M Teoriya Polya (M.: Nauka, 1967); Per. na angl. yaz., Landau L D, Lifshitz E M The Classical Theory Of Fields (Oxford: Pergamon Press, 1971)
  97. Gradshtein I S, Ryzhik I M Tablitsy Integralov, Summ, Ryadov i Proizvedenii (M.: Fizmatgiz, 1963); Per. na angl. yaz., Gradshteyn I S, Ryzhik I M Table Of Integrals, Series, And Products (New York: Academic Press, 1965)
  98. Wang Y-M, Frank J Astron. Astrophys. 93 255 (1981)
  99. Mushtukov A A et al Mon. Not. R. Astron. Soc. 454 2539 (2015)

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions