Abstract
The quasicrystal model of the rotational Brownian motion in a liquid has been studied. The probability distribution of orientations of a Brownian particle is given in the form of a series of generalized spherical functions.
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References
F. Perrin,J. Phys. Radium 5:497 (1934).
L. D. Furry,Phys. Rev. 107:7 (1957).
W. H. Favro,Phys. Rev. 119:53 (1960).
C. A. Valiev and L. D. Eskin,Opt. Spectr. 12:758 (1962).
C. A. Valiev,Opt. Spectr. 13:505 (1962).
P. Debye,Polar Molecules.
N. Bloembergen, E. Purcell, and R. Pound,Phys. Rev. 73:678 (1948).
E. N. Ivanov,Soviet Phys.—JETP 45:1509 (1963).
E. N. Ivanov and C. A. Valiev,Opt. Spectr. 19:867 (1965).
P. S. Hubbard,J. Chem. Phys. 51:1647 (1969).
D. E. O'Reilly,J. Chem. Phys. 49:5416 (1968).
P. A. Egelstaff,J. Chem. Phys. 53:2590 (1970).
D. A. Pinnow, S. J. Candau, and T. A. Litovitz,J. Chem. Phys. 49:347 (1968).
C. A. Valiev,Optics and Spectroscopy, Collection 2,Molecular Spectroscopy (1963), p. 98.
C. A. Valiev and A. S. Aghishev,Opt. Spectr. 16:881 (1964).
W. A. Steele,J. Chem. Phys. 38:2404 (1963).
Y. I. Frenkel,Kinetic Theory of Liquids, Acad. Sci. USSR (1959).
I. L. Fabelinsky,Molecular Propagation of Light, Nauka, Moscow (1965).
A. Rahman, K. S. Singwi, and A. Sjölander,Phys. Rev. 126:997 (1962).
H. Mori, I. Oppenheim, and J. Ross, inStudies in Statistical Mechanics, ed. by J. de Boer and G. B. Uhlenbeck, North-Holland, Amsterdam (1962).
I. M. Gelfand, R. A. Minlos, and S. Y. Shapiro,Representation of the Group of Rotations and the Lorentz Group, Phys. and Math. Publ., Moscow (1968).
A. I. Anselm and N. N. Porfirieva,Soviet Phys.—JETP 19:692 (1949).
S. Chandrasekhar,Stochastic Problems in Physics and Astronomy.
M. C. Wang and G. E. Uhlenbeck,Rev. Mod. Phys. 17:323 (1945).
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Ivanov, E.N. The quasicrystal model of rotational Brownian motion. J Stat Phys 8, 183–188 (1973). https://doi.org/10.1007/BF01008539
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DOI: https://doi.org/10.1007/BF01008539