Literature Cited
A. Z. Patashinskii and V. L. Pokrovskii, Fluctuation Theory of Phase Transitions [in Russian], Nauka, Moscow (1982).
S. Ma, Modern Theory of Critical Phenomena, Reading, Mass. (1976).
A. Aharony, in: Phase Transitions and Critical Phenomena, Vol. 6, Academic Press, New York (1976), pp. 357–424.
Yu. M. Ivanchenko, A. A. Lisyanskii, and A. É. Filippov, Fluctuation Effects in Systems with Competing Interactions [in Russian], Naukova Dumka, Kiev (1989).
K. G. Wilson and M. E. Fisher, Phys. Rev. Lett.,28, 240 (1972).
I. F. Lyuksyutov and V. L. Pokrovskii, Pis'ma Zh. Eksp. Teor. Fiz.,21, 22 (1975).
I. F. Lyuksyutov, V. L. Pokrovskii, and D. E. Khmel'nitskii, Zh. Eksp. Teor. Fiz.,69, 1817 (1975).
A. Aharony and D. Blankschtein, in: Multicritical Phenomena, Plenum Press, New York (1984), pp. 155–164.
A. I. Sokolov, Zh. Eksp. Teor. Fiz.,84, 1373 (1983).
Yu. M. Ivanchenko, A. A. Lisyanskii, and A. É. Filippov, Zh. Eksp. Teor. Fiz.,87, 1019 (1984).
A. I. Sokolov, Fiz. Tverd. Tela (Leningrad),25, 552 (1983).
I. O. Maier, Teor. Mat. Fiz.,60, 476 (1984).
H. H. Jacobson and D. J. Amit, Ann. Phys. (N.Y.),133, 201 (1981).
T. Schneider, E. Stoll, and E. Beck, Physica (Utrecht) A,79, 201 (1975).
Yu. M. Ivanchenko, A. A. Lisyanskii, and A. É. Filippov, Teor. Mat. Fiz.,71, 441 (1987).
Yu. M. Ivanchenko, A. A. Lisyanskii, and A. É. Filippov, Teor. Mat. Fiz.,72, 149 (1987).
Yu. M. Ivanchenko, A. A. Lisyanskii, and A. É. Filippov, Fiz. Tverd. Tela (Leningrad),31, 204 (1989).
Yu. M. Ivanchenko, A. A. Lisyanskii, and A. E. Filippov, J. Phys. A,23, 91 (1990).
D. J. Wallace, J. Phys. C,6, 1390 (1973).
T. H. Berlin and M. Kac, Phys. Rev.,86, 821 (1952).
H. E. Stanley, Phys. Rev.,176, 718 (1968).
Additional information
Physicotechnical Institute, Ukrainian SSR Academy of Sciences, Donetsk. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 88, No. 3, pp. 442–448, September, 1991.
Rights and permissions
About this article
Cite this article
Radievskii, A.V., Filippov, A.É. Evolution of free-energy expansion parameters in the critical region. An exactly solvable model. Theor Math Phys 88, 986–990 (1991). https://doi.org/10.1007/BF01027700
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01027700