Abstract
Semi-infinite systems with a bulk tricritical point are studied using a free energy functional of the Ginzburg-Landau-Wilson type. Tricritical surface exponents, order parameter profiles and the phase diagram are presented within mean field theory. In the case of ordinary and special transition, renormalization-group methods are used to obtain the exponents of a system withO(n)-symmetry to first order in ɛ=3−d and logarithmic corrections ind=3.
Similar content being viewed by others
References
Riedel, E.K., Meyer, H., Behringer, R.P.: J. Low Temp. Phys.22, 369 (1976)
Ahlers, G.: In: The physics of liquid and solid helium. Bennemann, K.H., Ketterson, J.B. (eds.), pp. 85ff. New York: Wiley 1976
Yelon, W.B., Cox, D.E., Kortman, P.J.: Phys. Rev. B9, 4843 (1974)
Dillon, J.F., Yi Chen, E., Guggenheim, J.H.: Phys. Rev. B18, 377 (1978)
Landau, D.P., Keen, B.E., Schneider, B., Wolf, W.P.: Phys. Rev. B3, 2310 (1971)
Giordano, N., Wolf, W.P.: Phys. Rev. Lett.35, 799 (1975)
Giordano, N., Wolf, W.P.: Phys. Rev. Lett.39, 342 (1977)
Griffiths, R.B.: Phys. Rev. Lett.24, 715 (1970)
Blume, M., Energy, V.J., Griffiths, R.B.: Phys. Rev. A4, 1071 (1971)
Bausch, R.: Z. Phys.254, 81 (1972)
Wegner, F.J., Riedel, E.K.: Phys. Rev. B7, 248 (1973)
Riedel, E.K.: Phys. Rev. Lett.28, 675 (1972)
Yamazaki, Y., Suzuki, M.: Prog. Theor. Phys.58, 516 (1977)
Cohen, E.G.D.: Tricritical points in metamagnets and helium mixtures. In: Fundamental problems in statistical mechanics, Cohen, E.G.D. (ed.). Amsterdam: North-Holland 1975
Landau, L.O., Lifschitz, E.M.: Lehrbuch der Theoretischen Physik. Bd. 5. Berlin: Akademie Vlg. 1979
Gebhard, W., Krey, U.: Phasenübergänge und kritische Phänomene. Braunschweig: Vieweg 1980
Gumbs, G.: J. Math. Phys.24 (1), 202 (1983)
Binder, K., Landau, D.P.: Surf. Sci.61, 577 (1976)
Mills, D.L.: Phys. Rev. B3, 3887 (1971)
Lubensky, T.C., Rubin, M.H.: Phys. Rev. B11, 4533 (1975); Phys. Rev. B12, 3885 (1975)
Binder, K., Hohenberg, P.C.: Phys. Rev. B6, 3461 (1972)
Bray, A.J., Moore, M.A.: J. Phys. A: Math. Gen.10, 1927 (1977)
Diehl, H.W., Dietrich, S.: Z. Phys. B — Condensed Matter42, 65 (1981); Phys. Rev. B24, 2878 (1981)
Symanzik, K.: Nucl. Phys. B150, [FS 3], 1 (1981)
Lipowsky, R.: Phys. Rev. Lett.49, 1575 (1982); Z. Phys. B —Condensed Matter51
Lipowsky, R., Speth, W.: Phys. Rev. B (submitted for publication)
Lipowsky, R., Kroll, D.M., Zia, R.K.P.: Phys. Rev. B (submitted for publication)
z-dependentH leads toz-dependent coefficients in (2.1); see also [31]
Lipowsky, R., Wagner, H.: Z. Phys. B — Condensed Matter42, 355 (1981)
see [13] (368-1)
Speth, W.: Diplomarbeit, Universität München 1982
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Speth, W. Tricritical phase transitions in semi-infinite systems. Z. Physik B - Condensed Matter 51, 361–368 (1983). https://doi.org/10.1007/BF01319219
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01319219