RSS-ленты
РусскийEnglish
Выпуск 6, 2026
Том год страница
Выпуски Авторы PACS Подписчикам Для авторов

Выпуски

 / 

1967

 / 

Ноябрь

←  →

Специальный выпуск


О вибрационных свойствах электронного газа


Воспроизводится по ЖЭТФ 8 (3), 291 (1938).


СОДЕРЖАНИЕ
1. Постановка задачи.
2. Исходные уравнения и их упрощение.
3. Решение линеаризованных уравнений.
4. Дисперсия продольных волн.
5. Дисперсия продольных волн в электронном газе с функцией распределения по Ферми.
6. Дисперсия поперечных волн.
7. Резюме и заключение.

Текст pdf (1,6 Мб)
English fulltext is available at DOI: 10.1070/PU1968v010n06ABEH003709
PACS: 52.35.−g, 52.25.Fi (все)
DOI: 10.3367/UFNr.0093.196711f.0444
URL: https://ufn.ru/ru/articles/1967/11/f/
Цитата: Власов А А "О вибрационных свойствах электронного газа" УФН 93 444–470 (1967)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

English citation: Vlasov A A “The vibrational properties of an electron gas” Sov. Phys. Usp. 10 721–733 (1968); DOI: 10.1070/PU1968v010n06ABEH003709

Статьи, ссылающиеся на эту (172) ↓ Похожие статьи (5)

  1. Bellomo N, Burini D, Liao J Math. Models Methods Appl. Sci. 36 (02) 341 (2026)
  2. Abramov R V J. Phys. A: Math. Theor. 59 (21) 215701 (2026)
  3. Tahmasebi M Math Finan Econ (2026)
  4. Vos M, Grande P L Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 573 166046 (2026)
  5. Bell D, Campos P M et al Journal of Computational Physics 555 114765 (2026)
  6. Shi L, Shen Ju, Wang B Journal of Differential Equations 453 113855 (2026)
  7. Steinhöfel T, Boltz H-H, Ihle T Eur. Phys. J. Spec. Top. (2026)
  8. Matus P Phys. Rev. B 113 (7) (2026)
  9. Zeng T, Li R, Li D Math Methods in App Sciences (2026)
  10. Prömel D J, Scheffels D J. Appl. Probab. 1 (2026)
  11. Bellingeri C, Coppini F Bernoulli 32 (3) (2026)
  12. Anh B T, Thinh D X, Merz K Nonlinearity 39 (1) 015021 (2026)
  13. Fiorillo D F G, Raffelt G G J. High Energ. Phys. 2026 (1) (2026)
  14. McGrae-Menge M C, Pierce J R et al Phys. Rev. Research 8 (1) (2026)
  15. Shi L, Shen Ju, Lu K Sci. China Math. (2026)
  16. Chacón-Lavanderos Ja, Gómez-Vargas I et al Phys. Rev. D 113 (6) (2026)
  17. Kato Y, Mima K, Bulanov S Springer Series on Atomic, Optical, and Plasma Physics Vol. High Power Laser and Plasma SciencePlasma Kinetic Theory130 Chapter 9 (2026) p. 329
  18. Barbour N, Dorland W et al J. Plasma Phys. 91 (5) (2025)
  19. Li J, Liu W et al Communications in Nonlinear Science and Numerical Simulation 142 108535 (2025)
  20. Chen Ju, Qiu Zh, Tang Ya Journal of Differential Equations 423 41 (2025)
  21. Barsuk A A, Paladi F Eur. Phys. J. D 79 (1) (2025)
  22. Zhang T, Xu Y et al Qual. Theory Dyn. Syst. 24 (1) (2025)
  23. Zhao T, Zhen M 2025 44th Chinese Control Conference (CCC), (2025) p. 1704
  24. Chizhonkov E V Comput. Math. and Math. Phys. 65 (12) 2959 (2025)
  25. Bollweg K-W G, Meyer-Brandis T PUQR 10 (2) 241 (2025)
  26. Giachetti G, Defenu N Phys. Rev. B 111 (21) (2025)
  27. Lobo A, Sayal V K Eur. Phys. J. Plus 140 (2) (2025)
  28. Huang Ya, Li M, Liu W Potential Anal 63 (1) 329 (2025)
  29. Wu S, Li Ya et al Journal of Applied Physics 137 (20) (2025)
  30. Bachhawat N, Litvinenko V Phys. Rev. Accel. Beams 28 (10) (2025)
  31. Cao S H, Munasinghe S et al Physics of Plasmas 32 (4) (2025)
  32. SHI C, WANG W ANZIAM J. 67 (2025)
  33. Adams M F, Wang P et al SIAM J. Sci. Comput. 47 (2) B360 (2025)
  34. Cherepanov V V Вестник Самарского государственного технического университета. Серия «Физико-математические науки» 29 (3) 516 (2025)
  35. Wang 王 Ya 彦, Wu 吴 Sh 士, Fan 范 P 培 Chinese Phys. B 34 (6) 065201 (2025)
  36. Bresch D, Jabin P-E, Soler Ju Analysis & PDE 18 (4) 1037 (2025)
  37. Borzì A, Infante G, Mascali G SIAM J. Appl. Math. 85 (1) 143 (2025)
  38. Touati A B, Boutabia H, Redjil A Lobachevskii J Math 45 (3) 1296 (2024)
  39. Guzmán J G A, Florinski V et al ApJS 272 (2) 46 (2024)
  40. Hong W, Hu Sh, Liu W Ann. Appl. Probab. 34 (2) (2024)
  41. Benilov E S Physics of Fluids 36 (3) (2024)
  42. Jin Z, Li R Res Math Sci 11 (3) (2024)
  43. Chen T, Wang Ch, Liu T International Journal of Multiphase Flow 172 104705 (2024)
  44. Kalinin A, Meyer-Brandis T, Proske F Stoch. Dyn. 24 (05) (2024)
  45. Shen Y, YuChih Ho-Yun, Chen B Phys. Rev. D 110 (12) (2024)
  46. Andreev P A Physics of Plasmas 31 (4) (2024)
  47. Veretennikov A Stoch. Dyn. 24 (05) (2024)
  48. Jing Y, Litvinenko V N et al Physics 6 (3) 921 (2024)
  49. Barbu V, Röckner M Probab. Theory Relat. Fields 189 (3-4) 849 (2024)
  50. Velozo R A, Velozo R R Commun. Math. Phys. 405 (3) (2024)
  51. Hao Z, Zhang X et al Ann. Probab. 52 (2) (2024)
  52. Chijonkov E V Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki 64 (7) 1268 (2024) [Chizhonkov E V Comput. Math. and Math. Phys. 64 (7) 1537 (2024)]
  53. Snytnikov A V, Ezrokh Yu S Lobachevskii J Math 45 (7) 3416 (2024)
  54. Boukaram W, Hong Yu et al The International Journal of High Performance Computing Applications 38 (6) 585 (2024)
  55. Rosenfeld E V Physics of Plasmas 31 (7) (2024)
  56. Chizhonkov E V Russian Journal of Numerical Analysis and Mathematical Modelling 39 (1) 13 (2024)
  57. Kalinin A, Meyer-Brandis T, Proske F J Theor Probab 37 (4) 2941 (2024)
  58. Dieye M, Diop A et al Stochastics 96 (4) 1388 (2024)
  59. Cissé A, Boutayeb M Communications in Nonlinear Science and Numerical Simulation 130 107751 (2024)
  60. Mushtaq H, Singh K et al Sci Rep 14 (1) (2024)
  61. Lobo A, Sayal V K Physics of Plasmas 31 (9) (2024)
  62. Pongsangangan K, Cosme P et al Phys. Rev. B 110 (4) (2024)
  63. Skubachevskii A L Diff Equat 59 (11) 1473 (2023)
  64. Bahsoun W, Liverani C, Sélley F M Commun. Math. Phys. 400 (3) 1791 (2023)
  65. Kokovin A O, Kozhevnikov V Yu et al Известия Российской академии наук. Механика жидкости и газа (6) 183 (2023)
  66. Fairushin I I, Mokshin A V Phys. Rev. E 108 (1) (2023)
  67. ÇOKSAK ER Derya Hacettepe Journal of Mathematics and Statistics 52 (4) 983 (2023)
  68. Bobylev A, Potapenko I KRM 16 (1) 20 (2023)
  69. Bezrodnykh S I, Gordeeva N M Russ. J. Math. Phys. 30 (4) 443 (2023)
  70. Barbu V, Röckner M Journal of Functional Analysis 285 (4) 109980 (2023)
  71. Crisan D, Holm D D, Korn P Nonlinearity 36 (9) 4862 (2023)
  72. Lazarovici D Typicality Reasoning in Probability, Physics, and Metaphysics New Directions in the Philosophy of Science Chapter 10 (2023) p. 175
  73. Kozhevnikov V Yu, Kozyrev A V et al Fluid Dyn 58 (6) 1148 (2023)
  74. Chen T, Zhang Ch, Wang L-P Phys. Rev. E 107 (2) (2023)
  75. Chen T, Wu L et al International Journal of Multiphase Flow 164 104451 (2023)
  76. Chizhonkov E V, Frolov A A Russian Journal of Numerical Analysis and Mathematical Modelling 38 (2) 63 (2023)
  77. Litvinenko V N, Jing Y et al Phys. Rev. Accel. Beams 26 (5) (2023)
  78. Ghosh I, Saxena V, Krishnamachari A 2023 International Conference on Device Intelligence, Computing and Communication Technologies, (DICCT), (2023) p. 520
  79. Vedenyapin V V, Fimin N N, Chechetkin V M Eur. Phys. J. Plus 137 (9) (2022)
  80. Cordonnier A, Leoncini X et al Phys. Rev. E 106 (6) (2022)
  81. Kozhevnikov V, Kozyrev A et al Vojnotehnički glasnik 70 (3) 650 (2022)
  82. Pongsangangan K, Ludwig T et al Phys. Rev. B 106 (20) (2022)
  83. Abramov R V Phys. Rev. Fluids 7 (5) (2022)
  84. Tian J, Anderson G E et al Monthly Notices of the Royal Astronomical Society 514 (2) 2756 (2022)
  85. Dieye M, Diop A, Mckibben M A Stoch. Dyn. 22 (05) (2022)
  86. Pongsangangan K, Grubinskas S, Fritz L Phys. Rev. Research 4 (4) (2022)
  87. Belov A A, Loza O T et al Discrete and Continuous Models 30 (3) 217 (2022)
  88. Adams M F, Brennan D P et al 2022 IEEE International Parallel and Distributed Processing Symposium (IPDPS), (2022) p. 115
  89. Schilling T Physics Reports 972 1 (2022)
  90. Maquart T, Noël R et al Applied Sciences 12 (9) 4627 (2022)
  91. Guillin A, Le Bris P, Monmarché P Electron. J. Probab. 27 (none) (2022)
  92. Huang X, Song Yu Nonlinear Analysis 203 112167 (2021)
  93. Kiselev E I Phys. Rev. B 103 (23) (2021)
  94. Filippov A V J. Exp. Theor. Phys. 132 (1) 148 (2021)
  95. Mezerdi M A Optim Control Appl Methods 42 (4) 1161 (2021)
  96. Gorelenkov N N, Sharapov S E Encyclopedia of Nuclear Energy (2021) p. 459
  97. Mezerdi M A, Khelfallah N Random Operators and Stochastic Equations 29 (1) 67 (2021)
  98. Bedrossian Ja Tunisian J. Math. 3 (1) 121 (2021)
  99. Lv L, Zhang Ya, Wang Z Chaos: An Interdisciplinary Journal of Nonlinear Science 31 (5) (2021)
  100. Kozhevnikov V, Kozyrev A et al Energies 14 (22) 7608 (2021)
  101. Gunell H Magnetospheres in the Solar System Geophysical Monograph Series 1 (2021) p. 37
  102. Röckner M, Zhang X Bernoulli 27 (2) (2021)
  103. Lentz E W, Quinn T R, Rosenberg L J Nuclear Physics B 952 114937 (2020)
  104. Kiramov D I, Breizman B N Physics of Plasmas 27 (2) (2020)
  105. Métivier D, Chertkov M Phys. Rev. E 101 (2) (2020)
  106. Kiselev E I, Schmalian J Phys. Rev. B 102 (24) (2020)
  107. Chen L, Li X et al Journal of Mathematical Physics 61 (6) (2020)
  108. BEIKIRCH MAXIMILIAN, CRAMER SIMON et al Advs. Complex Syst. 23 (06) 2050017 (2020)
  109. Bahlali Kh, Mezerdi M A, Mezerdi B Stoch. Dyn. 20 (01) 2050007 (2020)
  110. Shohet G, Price Ja et al Journal of Computational Physics: X 8 100070 (2020)
  111. Vynnyk O K, Anisimov I O Problems of Atomic Science and Technology 59 (2020)
  112. Laribi E, Ogawa Sh et al Fluids 4 (3) 172 (2019)
  113. Rukhadze A A, Silin V P Успехи физических наук 189 (07) 739 (2019) [Rukhadze A A, Silin V P Phys.-Usp. 62 (7) 691 (2019)]
  114. Knopf P Math Methods in App Sciences 42 (18) 6369 (2019)
  115. Benilov E S, Benilov M S Phys. Rev. E 99 (1) (2019)
  116. Woods B J Q Plasma Res. Express 1 (4) 045003 (2019)
  117. Chen L, Siedentop H Journal of Mathematical Physics 59 (5) (2018)
  118. Benilov E S, Benilov M S Phys. Rev. E 97 (6) (2018)
  119. Bauer M, Meyer-Brandis T, Proske F Electron. J. Probab. 23 (none) (2018)
  120. Allanson O Theory of One-Dimensional Vlasov-Maxwell Equilibria Springer Theses Chapter 1 (2018) p. 1
  121. Golovanov A A, Kostyukov I Yu Physics of Plasmas 25 (10) (2018)
  122. Morse E Nuclear Fusion Graduate Texts in Physics Chapter 3 (2018) p. 39
  123. Allanson O, Troscheit S, Neukirch T IMA Journal of Applied Mathematics 83 (5) 849 (2018)
  124. Silantyev D A, Lushnikov P M, Rose H A Physics of Plasmas 24 (4) (2017)
  125. Pike O Ja Particle Interactions in High-Temperature Plasmas Springer Theses Chapter 2 (2017) p. 17
  126. Sulaiman A H The Near-Saturn Magnetic Field Environment Springer Theses Chapter 1 (2017) p. 1
  127. Jabin P-E, Wang Zh Active Particles, Volume 1 Modeling and Simulation in Science, Engineering and Technology Chapter 10 (2017) p. 379
  128. Benilov E S, Benilov M S Phys. Rev. E 96 (4) (2017)
  129. Dehghan M, Abbaszadeh M Engineering with Computers 33 (4) 961 (2017)
  130. Kolesnichenko A V KIAM Prepr. (43) 1 (2017)
  131. Pulvirenti M, Simonella S Math. Mech. Compl. Sys. 4 (3-4) 255 (2016)
  132. Webb S D Journal of Mathematical Physics 57 (4) (2016)
  133. Sykes A G, Bohn J L Phys. Rev. A 91 (1) (2015)
  134. Sasorov P V, Fomin I V J. Exp. Theor. Phys. 120 (6) 1101 (2015)
  135. Elizarov A, Litvinenko V Phys. Rev. ST Accel. Beams 18 (4) (2015)
  136. Wesp Ch, van Hees H et al Phys. Rev. E 91 (4) (2015)
  137. Hosseini Je S M, Kourakis I Physics of Plasmas 21 (4) (2014)
  138. Sereda Yu V, Ortoleva P J The Journal of Chemical Physics 140 (13) (2014)
  139. Kalman G J, Donkó Z et al EPL 107 (3) 35001 (2014)
  140. Balakin A B, Muharlyamov R K, Zayats A E Class. Quantum Grav. 31 (2) 025005 (2014)
  141. Jabin P-E Kinetic & Related Models 7 (4) 661 (2014)
  142. Andreev P A Annals of Physics 350 198 (2014)
  143. Jenab S M H, Kourakis I Eur. Phys. J. D 68 (8) (2014)
  144. Ivanov A Yu, Andreev P A, Kuz’menkov L S Int. J. Mod. Phys. B 28 (21) 1450132 (2014)
  145. Pavelka M, Klika V, Grmela M Phys. Rev. E 90 (6) (2014)
  146. Lushnikov P M, Rose H A et al Physics of Plasmas 21 (7) (2014)
  147. Balakin A B, Muharlyamov R K, Zayats A E Eur. Phys. J. D 68 (6) (2014)
  148. Nungesser E J. Phys.: Conf. Ser. 453 012008 (2013)
  149. Chesnokov A A, Khe A K Stud Appl Math 131 (4) 343 (2013)
  150. Andreev P A, Kuz’menkov L S Eur. Phys. J. D 67 (10) (2013)
  151. Elizarov A, Litvinenko V Phys. Rev. ST Accel. Beams 16 (12) (2013)
  152. Sereda Yu V, Ortoleva P J Physica A: Statistical Mechanics and its Applications 392 (4) 628 (2013)
  153. Thomas A G R, Tzoufras M et al Journal of Computational Physics 231 (3) 1051 (2012)
  154. Webb S, Litvinenko V N, Wang G Phys. Rev. ST Accel. Beams 15 (8) (2012)
  155. Hosseini Je S M, Kourakis I, Abbasi H Physics of Plasmas 18 (7) (2011)
  156. Huang D, Gumbs G, Roslyak O Journal of Modern Optics 58 (21) 1898 (2011)
  157. Webb S, Wang G, Litvinenko V Phys. Rev. ST Accel. Beams 14 (5) (2011)
  158. Johnson R W Mechanics Research Communications 38 (2) 146 (2011)
  159. Khorashadizadeh S M, Niknam A R, Haghtalab T Physics of Plasmas 18 (6) 063703 (2011)
  160. Rose H A, Daughton W Physics of Plasmas 18 (12) (2011)
  161. Johnson R W Mechanics Research Communications 37 (4) 427 (2010)
  162. Tarasov V E Nonlinear Physical Science Vol. Fractional DynamicsFractional Statistical Mechanics0 Chapter 15 (2010) p. 335
  163. Valenti D, Shubov M International Journal of Mathematics and Mathematical Sciences 2009 (1) (2009)
  164. Magnus W, Brosens F, Sorée B J Comput Electron 8 (3-4) 307 (2009)
  165. Filippov A V, Zagorodny A G et al J. Exp. Theor. Phys. 104 (1) 147 (2007)
  166. Muralidhar Y, Jain P K, Basu B N IEEE Trans. Electron Devices 47 (3) 634 (2000)
  167. Rao S J, Jain P K, Basu B N IEEE Trans. Electron Devices 43 (12) 2290 (1996)
  168. Hong J, Kim Ch Phys. Rev. A 43 (4) 1965 (1991)
  169. Baus M Phys. Rev. A 15 (2) 790 (1977)
  170. Zubarev Yu M, Smirnov V A Fluid Dyn 9 (4) 610 (1974)
  171. Osborn R IRE Trans. Antennas Propag. 10 (1) 8 (1962)
  172. Drummond J IRE Trans. Antennas Propag. 10 (1) 4 (1962)
© Успехи физических наук, 1918–2026
Электронная почта: ufn@ufn.ru Телефоны и адреса редакции О журнале Пользовательское соглашение