Abstract
Critical Phenomena is a part of Physics which has developed rapidly over the last 15 years, as exempled by the 1982 Hobel price for Physics which was awarded to K. Wilson for his major contribution in the field. Indeed the domain covered by this field is very large. The concept of a 2nd order phase transition, which is detailed below, allows many different phenomena encountered near a transition to be considered as being equivalent and so they can be formulated by the same universal laws. This universality applies to both the physical phenomena — not only critical points are involved but also percolation, fractals, etc. — and the physical systems. Indeed a very large number of physical systems, such as simple fluids, binary* or multicomponent fluid mixtures**- including metallic liquid mixtures -, liquid crystals, microemulsions, polymers, molten salt, alloys***, superfluid Helium, magnets, ferroelectrics, etc. exhibit the same universal behaviors. These systems can be classified into a few “universality classes”, according to very simple criteria as we will see below. In the following we will mostly deal with the “class” of fluids.
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References
L. Landau and E. Lifshitz, “Statistical Physics” (MIR, Moscow, 1967).
B. Widom, J. Chem. Phys. 43., 3892 (1965).
L. S. Ornstein, and F. Zernike, Proc. Acad. Sci. Amsterdam 17, 793 (1914).
V.L. Ginzburg, Fiz. Tverd. Tela. 2, 2031 (1960).
K. G. Wilson and J. Kogut, Phys. Reports C12, 75 (1974).
M. E. Fisher, Rep. Prog. Phys. 30, 615 (1967). see e.g. “Phase Transitions”, ed. by M. Levy
J.C Le Guillou and J. Zinn-Justin (Plenum Press, New-York, 1982).
D. Stauffer, M. Ferer, M. Wortis, Phys. Rev. Lett. 29, 345 (1972).
C. Bagnuls and C. Bervillier, Phys. Lett. 107A, 299 (1985).
F.J. Wegner, Phys. Rev. B5, 4529 (1972).
C. Bagnuls and C. Bervillier, J. Phys. (Paris) Lett. 45., L95 (1984).
A. Aharony and G. Ahlers, Phys. Rev. Lett. 44, 782 (1980).
P.C. Hohenberg and B.I. Halperin, Phys. Rev. B13, 2110 (1976).
D. Beysens, A. Bourgou and G. Paladin, Phys. Rev. A30, 2686 (1984).
H. C. Burstyn and J. V. Sengers, Phys. Rev. A27, 1071 (1983).
J. K. Bhattachar j ee and R. A. Ferrel, Phys. Rev. A28, 2363 (1983).
E. D. Siggia, B.I. Halperin and P.C. Hohenberg, Phys. Rev. B13, 2110 (1976).
A. Onuki, K. Yamasaki and K. Kawasaki, Ann. Phys. 131, 217 (1981).
D. Beysens, M. Ghadamassi and B. Moncef-Bouanz, Phys. Rev. 28A, 2491 (1983).
W.I. Goldburg, in “Scattering Techniques”, ed. by S. H. Chen, B. Chu and R. Nossal (Plenum Press, New-York, 1981).
N. C. Wong and C. M. Knobler, J. Chem. Phys. 69., 725 (1978).
see e. g. K. Kawasaki and T. Otha, Prog. Theor. Phys. 59, 362 (1978).
D.J. Turner, in Proc. 4th European Symposium on Materials Processing under microgravity, Madrid (1983) (ESA SP-191).
see e.g. J. Ramakrishnan, N. Nagarajan, Anil Kumar, E. S. R. Gopal, P. Chandrasekhar and N. Ananthakri shna, J. Chem. Phys. 68., 4098 (1978).
M. Moldover and J. Cahn, Sciences 207, 1073 (1980).
see e. g. the review by M. R. Moldover and J. W. Schmidt Physica 1 2D, 351 (1984).
D. Beysens and D. Esteve, Phys. Rev. Lett. 54, 21 23 (1985).
D. Beysens and S. Leibler, J. Phys. (Paris) Lettres, 43, L133 (1982)
C. Franck and S. E. Schnatterly, Phys. Rev. Lett. 48, 763 (1982).
M. E. Fisher and P. G. de Gennes, C. R. Acad. Sci. Paris 287B, 207 (1978).
R.J. Huijser, A.C. Michels and N.J. Trappeniers, in the same ref. as [9.23].
K. Nitsche, J. Straub and R. Lange, in Proc. 5th European Symposium on Material Sciences under Hicrogravity, Schloss Elmau (1984) (ESA SP-222).
J. A. Lipa, Proc. of Near Zero Conference, Stanford (1983), to be published.
G. H. Fi ndenneg, in the same ref. as [9.23].
M. R. Moldover and R. W. Gammon, NASA contractor Report CR 174637.
H. Meyer and R. P. Behringer, NASA Proposal NAG4–379 (1984).
R. Lange and J. Straub, Internal Report (Technische Uni versi tät München -L-A. für Thermodynamik).
H. Klein and K. Wanders, AIAA Journal 20, 946 (1982)
D. Langbein and W. Heide, Adv. Space Res. 4, 27 (1984)
D. Beysens, Proceed, of the 35th Congress of the International Astronautical Federation, Lausanne 1984. and Acta Astro. 12, 141 (1985).
C. Houessou, P. Guenoun, R.” Gastaud, F. Perrot and D. Beysens, Phys. Rev. 32., (1985).
D. Beysens, P. Guenoun and F. Perrot, to be published.
D. Beysens, P. Baudry and J. C. Legros, to be published.
H. Klein, D. Woermann, H. Hamacher and K. Wanders, Private communication.
D. Beysens, P. Guenoun and F. Perrot, D2-proposal [CEA Internal Report].
D.J. Turner, CERL Note, TPRDS/L/2802/N85 (1985)
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Beysens, D. (1986). Critical Phenomena. In: Feuerbacher, B., Hamacher, H., Naumann, R.J. (eds) Materials Sciences in Space. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82761-7_9
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DOI: https://doi.org/10.1007/978-3-642-82761-7_9
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