Abstract
A previously introduced Landau “potential” for the description of the basic features of the two-component Rayleigh-Bénard problem is shown to be endowed with the relevant properties of the classical Landau singular free energy used in the study of equilibrium tricritical phenomena. Predictions of relevance to experiments on convective instability are also given.
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References
E. Wesfreid, Y. Pomeau, M. Dubois, C. Normand, and P. Bergé,J. Phys. (Paris) 39:725 (1978); M. G. Velarde and C. Normand,Sci. Amer. 243:92 (1980).
M. G. Velarde and J. C. Antoranz,Phys. Lett. 72A:123 (1979).
C. Normand, Y. Pomeau, and M. G. Velarde,Rev. Mod. Phys. 49:581 (1977).
M. G. Velarde, inDynamical Critical Phenomena and Related Topics, C. P. Enz, ed. (Springer-Verlag, Berlin, 1979), p. 309.
P. Bergé, inDynamical Critical Phenomena and Related Topics, C. P. Enz, ed. (Springer-Verlag, Berlin, 1979), p. 288.
R. Graham, inFluctuations, Instabilities and Phase transitions, T. Riste, ed. (Plenum Press, New York, 1975); inProceedings XVII Solvay Conference on Physics (to appear).
J. M. Kincaid and E. G. D. Cohen,Phys. Rep. 22C:57 (1975); J. F. Scott,Opt. Commun. 15:343 (1975).
R. B. Griffiths and J. C. Wheeler,Phys. Rev. A 2:1047 (1970).
M. G. Velarde and I. Zuñiga,J. Phys. (Paris) 40:725 (1979).
E. Guyon, P. Pieranski, and J. Salan,J. Fluid Mech. 93:65 (1979).
R. S. Schechter, M. G. Velarde, and J. K. Platten,Adv. Chem. Phys. 26:265 (1974).
J. K. Platten and G. Chavepeyer,Adv. Chem. Phys. 32:281 (1975).
M. Giglio, private communication.
J. Salan, private communication.
E. Wesfreid and P. Bergé, private communication; and unpublished report at the International Conference on Dynamical Critical Phenomena and Related Topics, Geneva, April 1979.
M. Giglio and A. Vendramini,Phys. Rev. Lett. 39:1014 (1977).
M. G. Velarde and R. S. Schechter,Phys. Fluids 15:1707 (1972).
M. G. Velarde and J. C. Antoranz,Phys. Lett. A, to appear.
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This paper is dedicated to the memory of Pierre M. V. Résibois. This work was financially supported by the Instituto de Estudios Nucleares (Spain).
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Velarde, M.G., Antoranz, J.C. Phenomenological phase transition approach to the two-component Rayleigh-Bénard problem: Tricritical behavior. J Stat Phys 24, 235–241 (1981). https://doi.org/10.1007/BF01007646
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DOI: https://doi.org/10.1007/BF01007646