RSS feeds
ÐóññêèéEnglish
Issue 3, 2026
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

1973

 / 

January

←  →

Reviews of topical problems


Rotational Brownian motion

,

A survey of the present state of the theory of rotational Brownian motion is given. Chapters 1 and 2 expound the theory of rotational diffusion and the solution of the problem of rotational random walks. The probability distributions for the orientations of Brownian particles are written in terms of generalized spherical functions, which are matrix elements of irreducible representations of the rotation group. Methods are discussed for the experimental determination of the nature of Brownian rotation by the use of nuclear magnetic resonance, dielectric relaxation, and the Rayleigh scattering of light. Chapter 3 gives an exposition of generalized rotational diffusion, taking account of inertial effects in the Brownian motion. The influence of inertial effects on dielectric magnetic relaxation and on the scattering of light is discussed. The conclusion of the review gives a discussion of precession effects in Brownian motion.

Fulltext pdf (1.6 MB)
Fulltext is also available at DOI: 10.1070/PU1973v016n01ABEH005145
PACS: 66.10.Cb, 78.20.Bh, 78.35.+c, 76.60.−k, 77.22.Gm (all)
DOI: 10.1070/PU1973v016n01ABEH005145
URL: https://ufn.ru/en/articles/1973/1/a/
Citation: Valiev K A, Ivanov E N "Rotational Brownian motion" Sov. Phys. Usp. 16 1–16 (1973)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Îðèãèíàë: Âàëèåâ Ê À, Èâàíîâ Å Í «Âðàùàòåëüíîå áðîóíîâñêîå äâèæåíèå» ÓÔÍ 109 31–64 (1973); DOI: 10.3367/UFNr.0109.197301b.0031

Cited by (127) ↓ Similar articles (20)

  1. Campos A M, Campos T P R Applied Radiation And Isotopes 231 112515 (2026)
  2. Dey S, Jaiswal A Physics Letters B 873 140202 (2026)
  3. Janutka A Journal Of Magnetism And Magnetic Materials 644 173952 (2026)
  4. Wazawa T, Ozaki-Noma R et al BIOPHYSICS 22 (2) n/a (2025)
  5. Tsaplev Yu B, Burtsev I D, Trofimov A V J. Phys. Chem. B 129 (43) 11325 (2025)
  6. Ma H, Wereley S T et al Physics of Fluids 36 (4) (2024)
  7. Nádasi H, Eremin A et al Liquid Crystals Optics and Photonic Devices, (2024) p. 57
  8. Vinze P, Michelin S Phys. Rev. Fluids 9 (1) (2024)
  9. Gafurov M M, Rabadanov K Sh Spectrochimica Acta Part A: Molecular And Biomolecular Spectroscopy 322 124840 (2024)
  10. Nádasi H, Küster M et al Journal Of Molecular Liquids 382 121900 (2023)
  11. Küster M, Nádasi H et al Journal Of Magnetism And Magnetic Materials 588 171368 (2023)
  12. Lavrov I V Semiconductors 57 (1) 31 (2023)
  13. Al-Dayel I, Deshmukh Sh Mathematics 11 (8) 1958 (2023)
  14. Lu Y-H, Jenkins M C et al J. Phys. Chem. B 127 (17) 3861 (2023)
  15. Dzuba S A Magnetochemistry 8 (2) 19 (2022)
  16. Lisin E A, Vaulina O S et al Phys. Chem. Chem. Phys. 23 (30) 16248 (2021)
  17. Gómez A V, Sevilla F J J. Stat. Mech. 2021 (8) 083210 (2021)
  18. Mazaheri M, Ehrig Je et al Nano Lett. 20 (10) 7213 (2020)
  19. Chen L, Gelin M F, Domcke W The Journal of Chemical Physics 151 (3) (2019)
  20. Aliev A R, Akhmedov I R et al Russ Phys J 61 (2) 292 (2018)
  21. Aliev A R, Akhmedov I R et al Russ. J. Phys. Chem. B 12 (3) 357 (2018)
  22. Aliev A R, Akhmedov I R et al Phys. Solid State 60 (2) 347 (2018)
  23. Aliev A R, Akhmedov I R et al Inorg Mater 54 (3) 261 (2018)
  24. Aliev A R, Akhmedov I R et al Russ. J. Phys. Chem. 92 (3) 470 (2018)
  25. Aliev A R, Akhmedov I R et al J Struct Chem 59 (1) 80 (2018)
  26. Aliev A R, Akhmedov I R et al Phys. Solid State 59 (4) 752 (2017)
  27. Reichenwallner J, Thomas A et al Polym. Chem. 7 (37) 5783 (2016)
  28. Sitnitsky A E Physica A: Statistical Mechanics And Its Applications 452 220 (2016)
  29. Sitnitsky A E Physica A: Statistical Mechanics And Its Applications 419 373 (2015)
  30. Bashirov F, Gaisin N International Journal Of Spectroscopy 2015 1 (2015)
  31. Leahy B D, Koch D L, Cohen I J. Fluid Mech. 772 42 (2015)
  32. Ivanitskii G R, Deev A A, Khizhnyak E P Uspekhi Fizicheskikh Nauk 184 (1) 43 (2014) [Ivanitskii G R, Deev A A, Khizhnyak E P Phys.-Usp. 57 (1) 37 (2014)]
  33. Malomuzh N P, Makhlaichuk V N et al J Struct Chem 54 (S2) 205 (2013)
  34. Kirillov S A, Gorobets M I et al J. Phys. Chem. B 117 (32) 9439 (2013)
  35. Usov N A, Liubimov B Ya Journal of Applied Physics 112 (2) (2012)
  36. Spectroscopic Techniques and Hindered Molecular Motion 0 (2011) p. 37
  37. Bashirov F, Gaisin N Crystallography Reviews 16 (1) 3 (2010)
  38. Zasetsky A Y, Lileev A S, Lyashchenko A K Molecular Physics 108 (5) 649 (2010)
  39. Zasetsky A Y, Petelina S V et al The Journal of Chemical Physics 133 (13) (2010)
  40. Blum J Microgravity Sci. Technol. 22 (4) 517 (2010)
  41. Choudhury N The Journal of Chemical Physics 133 (15) (2010)
  42. Gelin M F, Kosov D S The Journal of Chemical Physics 130 (13) (2009)
  43. Syutkin V M, Grebenkin S Yu The Journal of Chemical Physics 131 (2) (2009)
  44. Milovskiĭ N D, Gelikonov V M, Malykin G B Opt. Spectrosc. 106 (4) 589 (2009)
  45. Chowdhary Ja, Ladanyi B M J. Phys. Chem. B 113 (13) 4045 (2009)
  46. Kalmykov Yu P The Journal of Chemical Physics 130 (13) (2009)
  47. Isaev N P, Dzuba S A J. Phys. Chem. B 112 (42) 13285 (2008)
  48. Chowdhary Ja, Ladanyi B M J. Phys. Chem. B 112 (19) 6259 (2008)
  49. Kirov N, Dozov I et al Journal Of Molecular Structure 839 (1-3) 84 (2007)
  50. Milovsky N D, Gelikonov V M et al Radiophys Quantum Electron 50 (1) 66 (2007)
  51. Gelin M F, Kosov D S The Journal of Chemical Physics 124 (14) (2006)
  52. Kupriyanova J A, Zatovsky A V Journal Of Molecular Liquids 127 (1-3) 102 (2006)
  53. Gelin M F, Kosov D S The Journal of Chemical Physics 125 (5) (2006)
  54. Kirillov S A Journal Of Molecular Liquids 110 (1-3) 99 (2004)
  55. Kirillov S A Novel Approaches to the Structure and Dynamics of Liquids: Experiments, Theories and Simulations Chapter 11 (2004) p. 193
  56. Aliev A R, Gafurov M M, Akhmedov I R Chemical Physics Letters 359 (3-4) 262 (2002)
  57. Gafurov M M, Aliev A R, Akhmedov I R Spectrochimica Acta Part A: Molecular And Biomolecular Spectroscopy 58 (12) 2683 (2002)
  58. BASHIROV F I Molecular Physics 99 (1) 25 (2001)
  59. Volkov V S, Leonov A I Phys. Rev. E 64 (5) (2001)
  60. Sergeyev S V Handbook of Advanced Electronic and Photonic Materials and Devices (2001) p. 247
  61. De Michele C, Leporini D Phys. Rev. E 63 (3) (2001)
  62. Lokotosh T V, Malomuzh N P Journal Of Molecular Liquids 93 (1-3) 95 (2001)
  63. Witt R, Sturz L et al J. Phys. Chem. A 104 (24) 5716 (2000)
  64. Bashirov F I Eur. Phys. J. AP 8 (2) 99 (1999)
  65. Andreozzi L, Faetti M et al J. Phys. Chem. B 103 (20) 4097 (1999)
  66. Andreozzi L, Faetti M et al Philosophical Magazine B 79 (11-12) 1993 (1999)
  67. Sergeyev S V Quantum Semiclass. Opt. 10 (5) 683 (1998)
  68. Blokhin A P, Gelin M F Physica A: Statistical Mechanics And Its Applications 251 (3-4) 469 (1998)
  69. Blokhin A P, Gelin M F J. Phys. Chem. B 101 (2) 236 (1997)
  70. Seki K The Journal of Chemical Physics 105 (10) 4274 (1996)
  71. SEREBRENNIKOV YU A Advances In Magnetic And Optical Resonance Vol. 17 (1992) p. 47
  72. Kirov N, Dozov I, Temkin S Journal Of Molecular Liquids 48 (2-4) 261 (1991)
  73. Temkin S I, Abdrakhmanov B M Physics Letters A 155 (1) 43 (1991)
  74. Perelygin I S, Mikhailov G P et al J Appl Spectrosc 53 (4) 1053 (1990)
  75. Dozov I, Temkin S, Kirov N Liquid Crystals 8 (5) 727 (1990)
  76. Temkin S I, Zharikov A A, Burshtein A I Theor Exp Chem 25 (3) 235 (1989)
  77. Burshtein A I, McConnell Ja Physica A: Statistical Mechanics And Its Applications 157 (2) 933 (1989)
  78. Shushakov O A, Barashkova I I et al Polymer Science U.S.S.R. 31 (4) 842 (1989)
  79. Dzyuba S A, Suvernev A A, Temkin S I Theor Exp Chem 25 (6) 596 (1989)
  80. Dölle A, Bluhm T Progress In Nuclear Magnetic Resonance Spectroscopy 21 (1-2) 175 (1989)
  81. Gaisenok V A J Appl Spectrosc 49 (5) 1087 (1988)
  82. Suvernev A A, Temkin S I Journal Of Magnetic Resonance (1969) 77 (1) 1 (1988)
  83. Gurp M, Langen H et al Polarized Spectroscopy of Ordered Systems Chapter 19 (1988) p. 455
  84. Yoshida F J. Phys. Soc. Jpn. 57 (8) 2852 (1988)
  85. Mukhin R R, Serebrennikov Yu A et al Theor Exp Chem 24 (1) 88 (1988)
  86. Daragan V A, Il’ina E � Russ Chem Bull 36 (4) 710 (1987)
  87. Dzyuba S A, Tsvetkov Yu D J Struct Chem 28 (3) 343 (1987)
  88. Samitov Yu Yu, Sadykov R Kh Theor Exp Chem 22 (5) 576 (1987)
  89. Burshtein A I, Doktorov A B, Morozov V A Chemical Physics 104 (1) 1 (1986)
  90. Zharikov A A, Temkin S I, Burshtein A I Chemical Physics 103 (1) 1 (1986)
  91. Bersuker I B, Ogurtsov I Ya Advances In Quantum Chemistry Vol. Advances in Quantum Chemistry Volume 18The Jahn—Teller Effect in Dipole (Multipole) Moments and Polarizabilities of Molecules18 (1986) p. 1
  92. Dölle A, Bluhm T Molecular Physics 59 (4) 721 (1986)
  93. Uusvuori R, Lounasmaa M Magnetic Reson In Chemistry 24 (12) 1048 (1986)
  94. Serebrennikov Yu A, Minaev B F et al Theor Exp Chem 22 (2) 189 (1986)
  95. Uusvuori R, Lounasmaa M Org. Magn. Reson. 22 (5) 286 (1984)
  96. Serebrennikov Yu A, Temkin S I, Burshtein A I Chemical Physics 81 (1-2) 31 (1983)
  97. Kielich S Progress In Optics Vol. 20 (1983) p. 155
  98. Sergeev N A J Struct Chem 23 (4) 554 (1983)
  99. Ostrovski V L, Ogurtsov I Ya, Bersuker I B Molecular Physics 48 (1) 13 (1983)
  100. Zatovsky A V, Lisý V Physica A: Statistical Mechanics And Its Applications 119 (1-2) 369 (1983)
  101. Kaul’ B V Soviet Physics Journal 26 (11) 978 (1983)
  102. Gompf J, Versmold H, Langer H Ber Bunsenges Phys Chem 86 (12) 1114 (1982)
  103. Kagermann H Physica A: Statistical Mechanics And Its Applications 109 (1-2) 1 (1981)
  104. Shaulov A Yu, Katsobashvili V Ya, Tugov I I Polymer Science U.S.S.R. 22 (5) 1280 (1980)
  105. Wyllie G Physics Reports 61 (6) 327 (1980)
  106. Tsykalo A L, Bagmet A D Journal Of Engineering Physics 38 (4) 412 (1980)
  107. Burshtein A I, Kofman A G Chemical Physics 40 (3) 289 (1979)
  108. Bleich H E, Glasel J A et al Biopolymers 18 (11) 2849 (1979)
  109. Sokolovskii A I, Tseitlin M Yu Theor Math Phys 39 (2) 446 (1979)
  110. Chaturvedi S, Shibata F Z Physik B 35 (3) 297 (1979)
  111. Daragan V A, Khazanovich T N J Struct Chem 19 (1) 40 (1978)
  112. Alekseev D V, Kazunina G A, Kuznetsov G M Soviet Physics Journal 21 (12) 1612 (1978)
  113. Baranova N B, Zel’dovich B Ya Chemical Physics Letters 57 (3) 435 (1978)
  114. Kazunina G A, Kuznetsov G M, Nikolaenko P T J Appl Spectrosc 29 (3) 1159 (1978)
  115. Burshtein A I, Yakobson B I Chemical Physics 28 (3) 415 (1978)
  116. Livshits V A, Krinichny V I, Kuznetsov A N Chemical Physics Letters 45 (3) 541 (1977)
  117. Zatsepin V M Theor Math Phys 33 (3) 1099 (1977)
  118. Vishnevskaya G P, Gumerov F M, Kozyrev B M Theor Exp Chem 11 (2) 162 (1976)
  119. FREED JACK H Spin Labeling (1976) p. 53
  120. Gadzhiev A Z, Yangieva N S, Martovitskii V I Theor Exp Chem 11 (5) 549 (1976)
  121. Kasprowicz-Kielich B, Kielich S Advances In Molecular Relaxation Processes 7 (4) 275 (1975)
  122. Vugmeister B E, Grechannyi O A Journal Of Engineering Physics 28 (1) 93 (1975)
  123. Gumerov F M, Kozyrev B M, Vishnevskaja G P Molecular Physics 29 (3) 937 (1975)
  124. Burshtein A I, Temkin S I Radiophys Quantum Electron 18 (12) 1349 (1975)
  125. Kuznetsov A N, Ebert B Chemical Physics Letters 25 (3) 342 (1974)
  126. Bezák V Int J Theor Phys 11 (5) 321 (1974)
  127. Zardecki A Physics Letters A 44 (5) 363 (1973)
© 1918–2026 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions