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Particle kinetics in highly turbulent plasmas (renormalization and self-consistent field methods)

 a,  b
a Ioffe Institute, ul. Polytekhnicheskaya 26, St. Petersburg, 194021, Russian Federation
b St. Petersburg State Polytechnical University, Politekhnicheskaya str. 29, St. Petersburg, 195251, Russian Federation

This review presents methods available for calculating transport coefficients for impurity particles in plasmas with strong long-wave MHD-type velocity and magnetic-field fluctuations, and random ensembles of strong shock fronts. The renormalization of the coefficients of the mean-field equation of turbulent dynamo theory is also considered. Particular attention is devoted to the renormalization method developed by the authors in which the renormalized transport coefficients are calculated from a nonlinear transcendental equation (or a set of such equations) and are expressed in the form of explicit functions of pair correlation tensors describing turbulence. Numerical calculations are reproduced for different turbulence spectra. Spatial transport in a magnetic field and particle acceleration by strong turbulence are investigated. The theory can be used in a wide range of practical problems in plasma physics, atmospheric physics, ocean physics, astrophysics, cosmic-ray physics, and so on.

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Fulltext is also available at DOI: 10.1070/PU1993v036n11ABEH002179
PACS: 52.35.Ra, 52.25.Fi, 52.25.Gj, 52.25.Vy, 52.30.Cv, 52.65.Vv (all)
DOI: 10.1070/PU1993v036n11ABEH002179
URL: https://ufn.ru/en/articles/1993/11/b/
Citation: Bykov A M, Toptygin I N "Particle kinetics in highly turbulent plasmas (renormalization and self-consistent field methods)" Phys. Usp. 36 (11) 1020–1052 (1993)
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Оригинал: Быков А М, Топтыгин И Н «Кинетика частиц в сильно турбулентной плазме (Методы перенормировок и самосогласованного поля)» УФН 163 (11) 19–56 (1993); DOI: 10.3367/UFNr.0163.199311b.0019

References (96) Cited by (92) ↓ Similar articles (20)

  1. Bykov A M Uspekhi Fizicheskikh Nauk 194 384 (2024)
  2. Lemoine M J. Plasma Phys. 89 (5) (2023)
  3. Sokół Ju M, Kucharek H et al Space Sci Rev 218 (3) (2022)
  4. Fraternale F, Zhao L et al Front. Astron. Space Sci. 9 (2022)
  5. Lemoine M Phys. Rev. Lett. 129 (21) (2022)
  6. Perri S, Bykov A et al Space Sci Rev 218 (4) (2022)
  7. Liu S, Zeng H et al Rev. Mod. Plasma Phys. 6 (1) (2022)
  8. Vieu T, Gabici S et al 512 1275 (2022)
  9. Vieu T, Reville B, Aharonian F 515 2256 (2022)
  10. Liu S, Jokipii J R Front. Astron. Space Sci. 8 (2021)
  11. Tang Yu, Liu S ApJ 909 46 (2021)
  12. le Roux J A, Zank G P ApJ 913 84 (2021)
  13. Lukin A S, Artemyev A V, Petrukovich A A 28 (9) (2021)
  14. Bykov A M, Marcowith A et al Space Sci Rev 216 (3) (2020)
  15. Yokoyama Sh L, Ohira Yu ApJ 897 50 (2020)
  16. Tolksdorf T, Grenier I A et al ApJ 879 66 (2019)
  17. Lemoine M, Vanthieghem A et al Phys. Rev. E 100 (3) (2019)
  18. Lemoine M Phys. Rev. D 99 (8) (2019)
  19. Chernyshov D, Cheng K S et al J. Phys.: Conf. Ser. 1181 012001 (2019)
  20. Zhang Y, Liu S 482 5268 (2019)
  21. Bykov A M, Vazza F et al Space Sci Rev 215 (1) (2019)
  22. Zirnstein E J, Kumar R et al ApJ 860 170 (2018)
  23. Zhang Y, Liu S, Yuan Q ApJL 844 L3 (2017)
  24. Chernyshov D, Cheng K-S et al EPJ Web Conf. 145 04004 (2017)
  25. Ohira Yu, Yamazaki R Journal Of High Energy Astrophysics 13-14 17 (2017)
  26. Lemoine M J. Plasma Phys. 82 (4) (2016)
  27. Bykov A M, Churazov E M et al Space Sciences Series Of ISSI Vol. Multi-scale Structure Formation and Dynamics in Cosmic PlasmasStructures and Components in Galaxy Clusters: Observations and Models51 Chapter 5 (2016) p. 141
  28. Electromagnetic Phenomena in Matter 1 (2015) p. 689
  29. Bykov A M, Churazov E M et al Space Sci Rev 188 141 (2015)
  30. Zhang M ApJ 812 148 (2015)
  31. Cheng K S, Chernyshov D O et al ApJ 804 135 (2015)
  32. Bochkarev S G, d’Humières E et al High Energy Density Physics 17 175 (2015)
  33. Chernyshov D O, Cheng K S et al Nuclear Physics B - Proceedings Supplements 256-257 179 (2014)
  34. Cheng K S, Chernyshov D O et al ApJ 790 23 (2014)
  35. Bykov A M Astron Astrophys Rev 22 (1) (2014)
  36. Fleishman G D, Toptygin I N Astrophysics And Space Science Library Vol. Cosmic ElectrodynamicsParticle Acceleration in Astrophysical Media388 Chapter 11 (2013) p. 517
  37. Zhang M, Lee M A Space Sci Rev 176 133 (2013)
  38. Fleishman G D, Toptygin I N Astrophysics And Space Science Library Vol. Cosmic ElectrodynamicsParticle Transport in Turbulent Cosmic Media388 Chapter 7 (2013) p. 273
  39. Felten T, Schlickeiser R 20 (8) (2013)
  40. Bykov A M, Ellison D C, Renaud M Space Sci Rev 166 71 (2012)
  41. Cheng K -S, Chernyshov D O et al ApJ 746 116 (2012)
  42. Bykov A, Gehrels N et al Space Sciences Series Of ISSI Vol. Particle Acceleration in Cosmic PlasmasParticle Acceleration in Relativistic Outflows45 Chapter 10 (2012) p. 309
  43. Chernyshov D O, Dogiel V A, Ko C M ApJ 759 113 (2012)
  44. Fisk L A, Gloeckler G Space Sciences Series Of ISSI Vol. Particle Acceleration in Cosmic PlasmasParticle Acceleration in the Heliosphere: Implications for Astrophysics45 Chapter 13 (2012) p. 433
  45. Bian N, Emslie A G, Kontar E P ApJ 754 103 (2012)
  46. Bykov A, Gehrels N et al Space Sci Rev 173 309 (2012)
  47. Aharonian F, Bykov A et al Space Sci Rev 166 97 (2012)
  48. Fisk L A, Gloeckler G Space Sci Rev 173 433 (2012)
  49. Prantzos N, Boehm C et al Rev. Mod. Phys. 83 1001 (2011)
  50. Budaev V P, Savin S P, Zelenyi L M Uspekhi Fizicheskikh Nauk 181 905 (2011)
  51. Zhang M, Lee M A Space Sciences Series Of ISSI Vol. Cosmic Rays in the HeliosphereStochastic Acceleration of Energetic Particles in the Heliosphere43 Chapter 12 (2011) p. 133
  52. Aharonian F, Bykov A et al Space Sciences Series Of ISSI Vol. Large-Scale Magnetic Fields in the UniverseCosmic Rays in Galactic and Extragalactic Magnetic Fields39 Chapter 4 (2011) p. 97
  53. Bian N H, Kontar E P, MacKinnon A L A&A 535 A18 (2011)
  54. Bykov A M, Ellison D C, Renaud M Space Sciences Series Of ISSI Vol. Large-Scale Magnetic Fields in the UniverseMagnetic Fields in Cosmic Particle Acceleration Sources39 Chapter 3 (2011) p. 71
  55. Fan Z H, Liu S M et al A&A 517 L4 (2010)
  56. Fan Zh, Liu S, Fryer Ch L no (2010)
  57. Jokipii J R, Lee M A ApJ 713 475 (2010)
  58. Zhang M J. Geophys. Res. 115 (A12) (2010)
  59. Shalchi A, Webb G M et al Astrophys Space Sci 321 197 (2009)
  60. Bykov A M, Osipov S M, Toptygin I N Astron. Lett. 35 555 (2009)
  61. Bykov A M, Fleishman G D ApJ 692 L45 (2009)
  62. Budaev V P Plasma Phys. Rep. 34 799 (2008)
  63. Petrosian V, Bykov A M Clusters of Galaxies Chapter 11 (2008) p. 207
  64. Petrosian V, Bykov A M Space Sci Rev 134 207 (2008)
  65. le Roux J A, Webb G M ApJ 667 930 (2007)
  66. Bykov A M, Toptygin I N Uspekhi Fizicheskikh Nauk 177 149 (2007)
  67. Arzner K, Knaepen B et al ApJ 637 322 (2006)
  68. le Roux J A, Zank G P et al ApJ 626 1116 (2005)
  69. Bykov A M, Toptygin I N Astron. Lett. 31 748 (2005)
  70. Mel’nikov Yu P, Toptygin I N Astron. Lett. 31 186 (2005)
  71. Kallenbach R, Hilchenbach M et al A&A 439 1 (2005)
  72. Verkhoglyadova O P, le Roux Ja A ApJ 602 1002 (2004)
  73. Scalo J, Elmegreen B G Annu. Rev. Astron. Astrophys. 42 275 (2004)
  74. Zank G P, Li G et al J. Geophys. Res. 109 (A4) (2004)
  75. Bakunin O G Uspekhi Fizicheskikh Nauk 173 757 (2003)
  76. Chandran B D G ApJ 599 1426 (2003)
  77. Webb G M, Ko C M et al ApJ 595 195 (2003)
  78. Dogiel V A, Schönfelder V, Strong A W A&A 382 730 (2002)
  79. Liang H, Dogiel V A, Birkinshaw M 337 567 (2002)
  80. Bykov A M, Toptygin I N Astron. Lett. 27 625 (2001)
  81. Malkov M A, Drury L O’C Rep. Prog. Phys. 64 429 (2001)
  82. McDonald F B, Ptuskin V S The Century of Space Science Chapter 29 (2001) p. 677
  83. Bykov A M Space Sciences Series Of ISSI Vol. The Astrophysics of Galactic Cosmic RaysParticle Acceleration and Nonthermal Phenomena in Superbubbles13 Chapter 27 (2001) p. 317
  84. Ptuskin V S Astrophysical Sources of High Energy Particles and Radiation Chapter 22 (2001) p. 251
  85. Mel’nikov Yu P J. Exp. Theor. Phys. 93 1190 (2001)
  86. Bykov A M, Chevalier R A et al ApJ 538 203 (2000)
  87. Klepach E G, Ptuskin V S, Zirakashvili V N Astroparticle Physics 13 161 (2000)
  88. Bykov A M, Uvarov Yu A J. Exp. Theor. Phys. 88 465 (1999)
  89. Ptuskin V S Advances In Space Research 19 697 (1997)
  90. Bykov A M, Mészáros P 461 (1) (1996)
  91. Bykov A M Space Sci Rev 74 397 (1995)
  92. BYKOV Andrei M Annals Of The New York Academy Of Sciences 759 406 (1995)

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