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Reviews of topical problems


New directions in the theory of electron cooling


National Research Centre ‘Kurchatov Institute’, pl. akad. Kurchatova 1, Moscow, 123182, Russian Federation

The theory of electron cooling of ions and positrons is reviewed. Formulas describing the retarding force of ions in an electron beam with an ’oblate’ velocity distribution, which is typical for electron cooling, are considered for arbitrary intensities of a magnetic field. Considered for positrons are the cases of intermediate and strong magnetic fields, which are of the greatest practical interest. The friction force and the components of the positron velocity diffusion tensor are calculated. Also discussed is the relaxation of positrons in their electron cooling in positron storage rings and their transition to the stationary distribution. The stationary velocity distribution function for positrons is shown to practically coincide in this case with that for electrons. The feasibility of lowering the transverse electron temperature is analyzed, which is required for decreasing the positron spread in momentum.

Fulltext pdf (559 KB)
Fulltext is also available at DOI: 10.1070/PU2008v051n07ABEH006433
PACS: 29.27.Bd, 42.50.Fx, 52.25.Os (all)
DOI: 10.1070/PU2008v051n07ABEH006433
URL: https://ufn.ru/en/articles/2008/7/a/
000260580700001
2-s2.0-55749094192
2008PhyU...51..645M
Citation: Men’shikov L I "New directions in the theory of electron cooling" Phys. Usp. 51 645–680 (2008)
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Îðèãèíàë: Ìåíüøèêîâ Ë È «Íîâûå íàïðàâëåíèÿ â òåîðèè ýëåêòðîííîãî îõëàæäåíèÿ» ÓÔÍ 178 673–708 (2008); DOI: 10.3367/UFNr.0178.200807a.0673

References (60) ↓ Cited by (13) Similar articles (20)

  1. Budker G I Atomnaya Energiya 22 346 (1967); Budker G I Sov. At. Energy 22 438 (1967)
  2. Meshkov I N Fiz. Elem. Chast. At. Yad. 25 1487 (1994); Meshkov I N Phys. Part. Nucl. 25 631 (1994)
  3. Parkhomchuk V V, Skrinskii A N Usp. Fiz. Nauk 170 473 (2000); Parkhomchuk V V, Skrinskii A N Phys. Usp. 43 433 (2000)
  4. Meshkov I N Fiz. Elem. Chast. At. Yad. 28 495 (1997); Meshkov I N Phys. Part. Nucl. 28 198 (1997)
  5. Meshkov I, Skrinsky A Nucl. Instrum. Meth. Phys. Res. A 379 41 (1996)
  6. Meshkov I N, Sidorin A O Nucl. Instrum. Meth. Phys. Res. 391 216 (1997)
  7. Meshkov I et al. Nucl. Instrum. Meth. Phys. Res. A 441 145 (2000)
  8. Artamonov A, Derbenev Ya, Saldin E Part. Accel. 23 79 (1988)
  9. Artamonov A S, Derbenev Ya S Nucl. Instrum. Meth. Phys. Res. A 284 248 (1989)
  10. Trubnikov B A v Sb. Voprosy Teorii Plazmy Vyp. 1 (Pod red. M A Leontovicha) (M.: Gosatomizdat, 1963) p. 98; Translated into English, Trubnikov B A In Reviews Of Plasma Physics Vol. 1 (Ed. M A Leontovich) (New York: Consultants Bureau, 1965) p. 105
  11. Trubnikov B A Teoriya Plazmy (M.: Energoatomizdat, 1996)
  12. Shafranov V D v Sb. Voprosy Teorii Plazmy Vyp. 3 (Pod red. M A Leontovicha) (M.: Gosatomizdat, 1963) p. 3; Translated into English, Shafranov V D In Reviews Of Plasma Physics Vol. 3 (Ed. M A Leontovich) (New York: Consultants Bureau, 1967) p. 1
  13. Zheleznyakov V V Izluchenie v Astrofizicheskoi Plazme (M.: Yanus-K, 1997); Zheleznyakov V V Radiation In Astrophysical Plasmas (Dordrecht: Kluwer, 1996)
  14. Aleksandrov A F, Rukhadze A A Lektsii Po Elektrodinamike Plazmopodobnykh Sred (M.: Izd-vo MGU, 1999)
  15. Lifshits E M, Pitaevskii L P Fizicheskaya Kinetika (M.: Nauka, 1979); Translated into English, Lifshitz E M, Pitaevskii L P Physical Kinetics (Oxford: Pergamon Press, 1981)
  16. Artsimovich A A, Sagdeev R Z Fizika Plazmy dlya Fizikov (M.: Atomizdat, 1979)
  17. Ginzburg V L Rasprostranenie Elektromagnitnykh Voln v Plazme (M.: Fizmatgiz, 1960); Translated into English, Ginzburg V L Propagation Of Electromagnetic Waves In Plasma (New York: Gordon and Breach, 1962)
  18. Landau L D, Lifshits E M Elektrodinamika Sploshnykh Sred (M.: Nauka, 1982); Translated into English, Landau L D, Lifshitz E M Electrodynamics Of Continuous Media (Oxford: Pergamon Press, 1984)
  19. Budker G I, Bulyshev A F, Dikanskii N S v Sb. Trudy V Vsesoyuznogo Soveshchaniya Po Uskoritelyam Zaryazhennykh Chastits T. 1 (M.: Nauka, 1977) p. 236; Budker G I, Bulyshev A F, Dikanskii N S Preprint (Novosibirsk: IYaF SO AN SSSR) 76-92 (1976)
  20. Kudelainen V I i dr. Zh. Eksp. Teor. Fiz. 83 2056 (1982); Kudelainen V I et al. Sov. Phys. JETP 56 1191 (1982)
  21. Derbenev Ya S, Skrinskii A N Fizika Plazmy 4 492 (1978); Derbenev Ya S, Skrinskii A N Sov. J. Plasma Phys. 4 273 (1978)
  22. Khinton F "Yavleniya perenosa v stolknovitel’noi plazme" v Sb. Osnovy Fiziki Plazmy T. 1 (Pod red. A A Galeeva, R Sudana) (M.: Energoatomizdat, 1983); Hinton F In Basic Plasma Physics (Handbook of Plasma Physics, Vol. 1, Eds A A Galeev, R N Sudan) (Amsterdam: North-Holland, 1983)
  23. Montgomery D, Joyce G, Turner L Phys. Fluids 17 2201 (1974)
  24. Bogolyubov N N Problemy Dinamicheskoi Teorii v Statisticheskoi Fizike (M.-L.: GITTL, 1946); Translated into English, Bogoliubov N N The Dynamical Theory In Statistical Physics (Delhi: Hindustan Publ. Corp., 1965); Bogolyubov N N Izbrannye Trudy Po Statisticheskoi Fizike (M.: Izd-vo MGU, 1979)
  25. Rostoker N Nucl. Fusion 1 101 (1961)
  26. Klimontovich Yu L, Silin V P Zh. Eksp. Teor. Fiz. 42 286 (1962); Klimontovich Yu L, Silin V P Sov. Phys. JETP 15 199 (1962)
  27. Rostoker N, Rosenbluth M N Phys. Fluids 3 1 (1960)
  28. Ginzburg V L, Zheleznyakov V V Izv. Vuzov. Radiofizika 1 59 (1958)
  29. Timofeev A V Rezonansnye Yavleniya v Kolebaniyakh Plazmy (M.: Fizmatlit, 2000)
  30. Men’shikov L I Zh. Eksp. Teor. Fiz. 134 (6) (2008), v pechati
  31. Elliott R J, Loudon R J. Phys. Chem. Solids 15 196 (1960)
  32. Landau L D, Lifshits E M Kvantovaya Mekhanika: Nerelyativistskaya Teoriya (M.: Nauka, 1974); Translated into English, Landau L D, Lifshitz E M Quantum Mechanics: Non-Relativistic Theory (Oxford: Pergamon Press, 1977)
  33. Men’shikov L I, Landua R Usp. Fiz. Nauk 173 233 (2003); Men’shikov L I, Landua R Phys. Usp. 46 227 (2003)
  34. Belyaev S T v Sb. Fizika Plazmy i Problemy Upravlyaemykh Termoyadernykh Reaktsii T. 3 (Pod red. M A Leontovicha) (M.: Izd-vo AN SSSR, 1958); Translated into English, Belyaev S T In Plasma Physics And The Problem Of Controlled Thermonuclear Reactions Vol. 3 (Ed. M A Leontovich) (New York: Pergamon Press, 1959)
  35. Gaponov A V Izv. Vuzov. Radiofizika 2 450 (1959)
  36. Gaponov A V, Petelin M I, Yulpatov V K Izv. Vuzov. Radiofizika 10 1414 (1967); Gaponov A V, Petelin M I, Yulpatov V K Radiophys. Quantum Electron. 10 794 (1967)
  37. Men’shikov L I Usp. Fiz. Nauk 169 113 (1999); Men’shikov L I Phys. Usp. 42 107 (1999)
  38. Berezovskii V V, Men’shikov L I Pis’ma ZhETF 86 411 (2007); Berezovskii V V, Men’shikov L I JETP Lett. 86 355 (2007)
  39. Men’shikov L I Pis’ma ZhETF 87 211 (2008); Men’shikov L I JETP Lett. 87 182 (2008)
  40. Berezovsky V, Men’shikov L, Öberg S, Latham C J. Opt. Soc. Am. B 25 458 (2008)
  41. Berezovskii V V, Men’shikov L I, Oberg S, Lessem K D Fizika Plazmy 34 (2008), v pechati
  42. Parkhomchuk V V Pis’ma ZhETF 87 210 (2008); Parkhomchuk V V JETP Lett. 87 181 (2008)
  43. Devidson R "Kineticheskaya teoriya voln i neustoichivostei v odnorodnoi plazme" v Sb. Osnovy Fiziki Plazmy T. 1 (Pod red. A A Galeeva, R Sudana) (M.: Energoatomizdat, 1983) p. 479; Davidson R C In Basic Plasma Physics ((Handbook of Plasma Physics, Vol. 1, Eds A A Galeev, R N Sudan)) (Amsterdam: North-Holland, 1983) p. 521
  44. Landau L D, Lifshits E M Teoriya Polya (M.: Nauka, 1988); Translated into English, Landau L D, Lifshitz E M The Classical Theory Of Fields (Oxford: Pergamon Press, 1983)
  45. Golubev S V, Shalashov A G Pis’ma ZhETF 86 98 (2007); Golubev S V, Shalashov A G JETP Lett. 86 91 (2007)
  46. Ikegami H Phys. Rev. Lett. 2593 (1990)
  47. Ikegami H Phys. Scripta 48 32 (1993)
  48. Ikegami H In Workshop On Beam Cooling And Related Topics, Montreux, Switzerland, 4 – 8 October, 1993 (CERN 94-03, Ed. J Bosser) (Geneva: European Organization for Nuclear Research, 1994) p. 81
  49. Van der Meer S In Workshop On Beam Cooling And Related Topics, Montreux, Switzerland, 4 – 8 October, 1993 (CERN 94-03, Ed. J Bosser) (Geneva: European Organization for Nuclear Research, 1994) p. 123
  50. Mohl D, Sessler A M In Workshop On Beam Cooling And Related Topics, Montreux, Switzerland, 4 – 8 October, 1993 (CERN 94-03, Ed. J Bosser) (Geneva: European Organization for Nuclear Research, 1994) p. 429
  51. Sagdeev R Z, Shafranov V D Zh. Eksp. Teor. Fiz. 39 181 (1960); Sagdeev R Z, Shafranov V D Sov. Phys. JETP 12 130 (1961)
  52. Willes A J, Robinson P A J. Plasma Phys. 58 171 (1997)
  53. Willes A J, Robinson P A Astrophys. J. 467 465 (1996)
  54. Willes A J, Wu K Mon. Not. R. Astron. Soc. 348 285 (2004); Willes A J, Wu K astro-ph/0302583
  55. Il’inskii Yu A, Maslova N S Zh. Eksp. Teor. Fiz. 94 171 (1988); Il’inskii Yu A, Maslova N S Sov. Phys. JETP 67 96 (1988)
  56. Dicke R H Phys. Rev. 93 99 (1954)
  57. Davydov A S Kvantovaya Mekhanika (M.: Nauka, 1973); Translated into English, Davydov A S Quantum Mechanics (Oxford: Pergamon Press, 1976)
  58. Bekefi G Radiation Processes In Plasma (New York: Wiley, 1966); Bekefi Dzh Radiatsionnye Protsessy v Plazme (M.: Mir, 1971)
  59. Kadomtsev B B Kollektivnye Yavleniya v Plazme 2-e izd. (M.: Nauka, 1988); Translated into English, Kadomtsev B B "Cooperative effects in plasmas" In Reviews Of Plasma Physics Vol. 22 (Ed. V D Shafranov) (New York: Kluwer Acad./Consultants Bureau, 2001) p. 1
  60. Prudnikov A P, Brychkov Yu A, Marichev O I Integraly i Ryady. Spetsial’nye Funktsii (M.: Nauka, 1983); Translated into English, Prudnikov A P, Brychkov Yu A, Marichev O I Integrals And Series Vols 2, 3 (New York: Gordon and Breach, 1986, 1990)
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