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.

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

Оригинал: Валиев К А, Иванов Е Н «Вращательное броуновское движение» УФН 109 31–64 (1973); DOI: 10.3367/UFNr.0109.197301b.0031

Cited by (120) Similar articles (20) ↓

V.E. Pogorelov, A.I. Lizengevich et al “Vibrational relaxation in condensed media” 22 270–282 (1979)
V.I. Klyatskin, V.I. Tatarskii “Diffusive random process approximation in certain nonstationary statistical problems of physics” 16 494–511 (1974)
N.N. Korst, L.I. Antsiferova “Study of slow molecular motions by stable-radical EPR” 21 761–778 (1978)
M.I. Shliomis “Magnetic fluids” 17 153–169 (1974)
V.N. Pokrovskii “Stresses, viscosity, and optical anisotropy of a Moving suspension of rigid ellipsoids” 14 737–746 (1972)
V.S. Starunov, I.L. Fabelinskii “Stimulated MANDEL’SHTAM-BRILLOUIN scattering and stimulated entropy (temperature) scattering of light” 12 463–489 (1970)
T.L. Andreeva, A.V. Malyugin “Fine structure of the Rayleigh spectrum of the scattering of light in molecular gases” 29 1097–1118 (1986)
A.I. Burshtein “Concentration quenching of noncoherent excitation in solutions” 27 579–606 (1984)
G.R. Khutsishvili “Spin diffusion and nuclear magnetic relaxation in a crystal containing a magnetic impurity” 11 802–815 (1969)
V.N. Pokrovskii “Dynamics of weakly-coupled linear macromolecules” 35 (5) 384–399 (1992)
N.M. Aleksandrov, F.I. Skripov “Structural investigations in crystals by the method of nuclear magnetic resonance” 4 947–974 (1962)
B.Kh. Bairamov, V.A. Voitenko, I.P. Ipatova “Light scattering from electron-density fluctuations in multivalley semiconductors and metals” 36 (5) 392–435 (1993)
V.S. Vikhrenko “Theory of depolarized molecular light scattering” 17 558–576 (1975)
V.V. Lemanov, G.A. Smolenskii “Hypersonic waves in crystals” 15 708–727 (1973)
M.E. Arkhangel’skii “Effect of acoustic oscillations on the diffusion process” 10 368–384 (1967)
V.S. Grechishkin, N.E. Ainbinder “Radiospectroscopy of organic semiconductors” 10 237–255 (1967)
V.A. Ignatchenko, V.P. Tsifrinovich “Resonance phenomena in the region of overlap between NMR and ESR” 24 42–56 (1981)
A.G. Lundin, V.E. Zorin “Nuclear magnetic resonance in condensed matter” 50 1053–1077 (2007)
I.B. Bersuker, B.J. Vekhter, I.Ya. Ogurtsov “Tunnel effects in polyatomic systems with electronic degeneracy and pseudodegeneracy” 18 569–587 (1975)
Yu.I. Ukhanov “Magnetooptic Faraday effect in semiconductors” 16 236–250 (1973)

The list is formed automatically.