Abstract
We study a symmetric binary mixture of equidiameter hard-spheres with repulsive Yukawa interaction for unlike atoms and attractive Yukawa interaction for like atoms. Due to a fully analytical approach we find that, for all values of the Yukawa exponentz≠0, the critical exponents are of the mean-spherical type. The critical region gets narrower with the increase of the range of the potential, causing a failure of the ordinary numerical analysis. Therefore, the previous analysis, based on numerically accessible region near the critical point, that predicted the mean-field structure of the critical exponents for small values ofz, was not adequate.
Similar content being viewed by others
References
Hansen, J.P., McDonald, I.R.: The theory of simple liquids. London: Academic Press 1986
Fisher, M.E., Fischman, S.: J. Chem. Phys.78, 4227 (1982)
Ramanathan, G.V., Jedrzejek, C.J.: Math. Phys.21, 1465 (1980)
Foiles, S.M., Ashcroft, N.W.: Phys. Rev. A24, 424 (1981)
Brey, J.J., Santos, A., romero, F.: J. Chem. Phys.77, 5058 (1982); Gallerani, F., Lo Vecchio, G., Reatto, L.: Phys. Rev. A32, 2526 (1985)
Henderson, D., Murphy, R.D.: Phys. Rev. A6, 1224 (1972)
Baxter, R.J.: J. Chem. Phys.49, 2770 (1968); Fischman, S., Fisher, M.E.: Physica A108, 1 (1981)
Waisman, E.: Mol. Phys.35, 45 (1973)
Cummings, P.T., Stell, G.: J. Chem. Phys.78, 1917 (1983)
Mier-y-Teran, L., Fernandez-Fassnacht, E., Quinones, S.E.: Phys. Lett.107A, 329 (1985)
Gallerani, F., Lo Vecchio, G., Parola, A., Reatto, L.: J. Phys. C16, 5793 (1983)
Cummings, P.T., Monson, P.A.: J. Chem. Phys.82, 4303 (1985); Mier-y-Teran, L., Fernandez-Fassnacht, E.: Phys. Lett.117A, 43 (1986); Fisher, M.E., Fishman, S.: J. Chem. Phys.78, 4227 (1983)
Hafner, J., Jank, W.: Z. Phys. B—Condensed matter70, 81 (1988)
Green, K.A., Luks, K.D., Kozak, J.J.: Phys. Rev. Lett.42, 985 (1979); Green, K.A., Luks, K.D., Lee Eok, Kozak, J.J.: Phys. Rev. A21, 356 (1980)
Blum, L., Høye, J.S.: J. Stat. Phys.19, 317 (1978)
Arrieta, E., Jewdrzejek, C., Marsh, K.N.: J. Chem. Phys.86, 3607 (1987)
Jedrzejek, C., Konior, J., Streszewski, M.: Phys. Rev. A35, 1226 (1987)
Bhatia, A.B., Thornton, D.E.: Phys. Rev. B2, 3004 (1970)
Waisman, E.: J. Chem. Phys.59, 495 (1973)
Cummings, P.T., Smith, E.R.: Mol. Phys.38, 997 (1979)
Baxter, R.J.: In: Physical chemistry: An advanced treatise. Eyring, H., Henderson, D. (eds.), Vol. VIIIA: The liquid state. Chap. 4. New York: Academic Press 1971
Konior, J., Jedrzejek, C.: Physica A161, 339 (1989)
Warner, S.: Modern algebra. New York: Prentice-Hall 1965
Pastore, G.: Mol. Phys.63, 731 (1988)
Nicoll, J.F., Bhattacharjee, J.K.: Phys. Rev. B23, 389 (1981); Nicoll, J.F.: Phys. Rev. A24, 2203 (1981)
Fisher, M.E., Ma, S.K., Nickel, B.G.: Phys. Rev. Lett.29, 917 (1972)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Konior, J., Jedrzejek, C. Critical behaviour in MSA for a symmetric Yukawa mixture. Z. Physik B - Condensed Matter 80, 125–130 (1990). https://doi.org/10.1007/BF01390658
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01390658