Advertisement

Critical Opalescence: Models—Experiment

  • Dmitri Yu. Ivanov

Abstract

The critical opalescence investigations were always,1, 2 and especially during last years, the subject of the top interest.3, 4 The nature of critical opalescence as well as the nature of critical phenomena in general is determined by enormous growth of order parameter fluctuations with the approaching to the critical point.5, 6 Light is a perfect instrument to study these fluctuations, while its influence on the medium is negligible. While the light wave length proves to be comparable with the typical size of fluctuations at temperatures close to the critical temperature (T c ) one can obtain the microscopic characteristics of the medium such as the correlation radius (ξ)of fluctuations and their relaxation time \(\bar \tau \) (\(\bar \tau \) ∝1/Г, Г being the scattering spectrum half-width) using light scattering.

Keywords

Multiple Scattering Critical Phenomenon Brownian Particle Turbid Medium Critical Fluctuation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Critical Phenomena, M. S. Green and J. V. Sengers, ed. (NBS Misc. Publ. 273, Washington. 1966 ), pp. 1–242.Google Scholar
  2. 2.
    B.Chu, Critical opalescence, Ber. Bunsenges. Phys. Chem. 76 (34), 202–215 (1972).Google Scholar
  3. 3.
    M. A. Anisimov, Critical Phenomena in Liquids and Liquid Crystals, ( Nauka, Moscow, 1987 ).Google Scholar
  4. 4.
    V. L. Kuz’min, V. P. Romanov, and L. A. Zubkov, Propagation and scattering of light in fluctuating media, Physics Reports 248 (25), 71–368 (1994).CrossRefGoogle Scholar
  5. 5.
    Z. Patashinskii and V. L. Pokrovskii, Fluctuation Theory of the Phase Transitions ( Nauka, Moscow, 1975 ).Google Scholar
  6. 6.
    S. Ma, Modern Theory of Critical Phenomena (W. A. Benjamin, Inc., 1976 ).Google Scholar
  7. 7.
    D. Yu. Ivanov, A. F. Kostko, and V. A. Pavlov, Behavior of the width of the multiple-light-scattering spectrum in the immediate vicinity of the critical point, DAN SSSR,282, 568–571 (1985) [Sov. Phys. Dokl., 30,397– 399].Google Scholar
  8. 8.
    E. L. Lakoza and A. V. Chalyi, Usp. Fiz. Nauk, 140, 393 (1983)CrossRefGoogle Scholar
  9. E. L. Lakoza and A. V. Chalyi, Sov. Phys. Usp., 26, 573 (1983).CrossRefGoogle Scholar
  10. 9.
    D. Yu. Ivanov and A. F. Kostko, Spectrum of multiply quasi-elastically scattered light, Opt. Spectrosk.,55, 950–953 (1983) [Opt. Spectrosc.,55, 573–575].Google Scholar
  11. 10.
    D. Yu. Ivanov and A. F. Kostko, in: Molecular Physics and Biophysics of water systems ( Leningrad State University, Leningrad, 1983 ), 5, 51–56.Google Scholar
  12. 11.
    Photon Correlation and Light Beating Spectroscopy, edited by H. Z. Cummins and E. R. Pike (Plenum Press, New York, 1974)Google Scholar
  13. 12.
    D. Yu. Ivanov, A. F. Kostko, and V. A. Pavlov, in: XIV All-Union Conference on the Propagation of Radio Waves, vol. 2, Moscow, Nauka, pp. 126–128 (1984)Google Scholar
  14. 13.
    D. Yu. Ivanov, A. F. Kostko, and V. A. Pavlov, in: III All-Union Conference on the Propagation of Laser Radiation in Disperse Media, part 11, Obninsk (USSR), pp. 71–74 (1985).Google Scholar
  15. 14.
    D. Yu. Ivanov, A. F. Kostko, and V. A. Pavlov, in: Molecular Physics and Biophysics of water systems ( Leningrad State University, Leningrad, 1986 ), 6, 145–152.Google Scholar
  16. 15.
    D. Yu. Ivanov, A. F. Kostko, and V. A. Pavlov, Multiple scattering spectra in strongly scattering media: Diffusion and non-diffusion contributions to spectrum halfwidth, Phys. Lett. A 138 (67), 339–342 (1989)CrossRefGoogle Scholar
  17. 16.
    A. lshimaru, Wave Propagation and Scattering in Random Media ( Academic Press, New York, 1978 )Google Scholar
  18. 17.
    M. Planck, Über elektrische Schwingungen welsche durch Resonanz erregt and durch Strahlung gedämpft werden, S. ber. Akad. Wiss (Berlin) 10, 151–170 (1896).Google Scholar
  19. 18.
    C. M. Sorensen, R. C. Mockler, W. J. O’Sullivan, Multiple scattering from a system of Brownian particles, Phys. Rev. A 17 (6), 2030–2035 (1978).CrossRefGoogle Scholar
  20. 19.
    H. M. J. Boots, D. Bedeaux, P. Mazur: On the theory of multiple scattering I, Physica A 79, 397–419 (1975)CrossRefGoogle Scholar
  21. H. M. J. Boots, D. Bedeaux, P. Mazur: On the theory of multiple scattering II. Critical scattering, 84, 217–255 (1976).Google Scholar
  22. 20.
    K. M. Case and P. F. Zweifel, Linear Transport Theory (Addison-Wesley, Reading, Mass, 1967; Moscow, 1972 )Google Scholar
  23. 21.
    L. A. Apresyan and Yu. A. Kravtsov, Radiation-Transport Theory: Statistical and Wave Aspects (Moscow, 1983 )Google Scholar
  24. 22.
    D. Yu. Ivanov, A. F. Kostko, and V. A. Pavlov, in: Physics of Liquid State ( Kiev State University, Kiev, 1986 ), 14, 121–128.Google Scholar
  25. 23.
    F. Bee and O. Lohne, Dynamical properties of multiply scattered light from independent Brownian particles Phys. Rev. A 17 (6), 2023–2029 (1978).CrossRefGoogle Scholar
  26. 24.
    M. V. Volkenstein, Conformation Statistics of Polymer Chains, ( Academia Nauk SSSR, Moscow, 1959 )Google Scholar
  27. 25.
    J. M. Ziman, Models of Disorder, ( Cambridge University Press, Cambridge, 1979 )Google Scholar
  28. 26.
    P.-G. de Gennes, Scaling Concepts in Polymer Physics, ( Cornell University Press, Ithaca and London, 1979 )Google Scholar
  29. 27.
    S. Chandrasechar, Stochastic Problems in Physics and Astronomy, (Moscow, 1947 )Google Scholar
  30. 28.
    S. E. Bresler and B. L. Erusalimskii, Physics and Chemistry of Macromolecules, ( Nauka, Moscow, 1963 )Google Scholar
  31. 29.
    E. Fermi, Nuclear Physics, ( University Chicago Press, Chicago, 1950 )zbMATHGoogle Scholar
  32. 30.
    K. Kawasaki, Kinetic equations and time correlation functions of critical fluctuations, Ann. Phys NY. 61, 1–56 (1970).CrossRefGoogle Scholar
  33. 31.
    H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena, ( Clarendon Press, Oxford, 1971 )Google Scholar
  34. 32.
    D. Yu. Ivanov, A. F. Kostko, and S. S. Proshkin, Critical opalescence investigation in the binary mixture aniline-cyclohexane by dynamic multiple light scattering, in: I3-th European Conference on Thermophysical Properties, Lisboa, Portugal, pp. 377–378 (1993).Google Scholar
  35. 33.
    D. J. Pine, D. A. Weitz, P. M. Chaikin, and E. Herbolzhemer, Diffusing wave spectroscopy, Phys. Rev. Lett. 60 (12), 1134–1137 (1988).CrossRefGoogle Scholar
  36. 34.
    V. L. Ginzburg, On the Perspectives of the Development of Physics and Astrophysics in the Late XX Century in: Physics of the XX Century Development and Perspectives, ( Nauka, Moscow, 1984 )Google Scholar

Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Dmitri Yu. Ivanov
    • 1
  1. 1.Saint-Petersburg State University of Refrigeration and Food EngineeringSaint-PetersburgRussia

Personalised recommendations