Summary
We consider a spin system with competing interactions isotropic with respect to the axes of a cubic lattice in the presence of an external field. We show that for small values of the external fieldH, the paramagnetic to modulated phase transition is fluctuation-induced first order, while for larger fields, such transition changes to continuous at a tricritical point. Applications for fluids systems are proposed.
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References
W. Selke: inPhase Transition and Critical Phenomena, edited byC. Domb andJ. L. Lebowitz, Vol.15 (Academic Press, 1992), p. 1.
A. Loiseau, G. van Tendeloo, R. Porher andF. Ducoistelle:J. Phys. (Paris),46, 595 (1985).
D. Broddin, G. van Tendeloo, J. ban Landuyt, S. Amelinckx, R. Porther, M. Guymont andA. Loiseau:Philos. Mag. A,54, 385 (1987).
B. Widom:J. Chem. Phys.,84, 6943 (1986).
J. M. Yeomans: inSolid State Physics, edited byH. Ehrenreich, F. Seitz andD. Turnbull, Vol.41 (Academic, New York, N.Y., 1988), p. 151.
P. J. Upton andJ. M. Yeomans:Europhys. Lett.,5, 575 (1988);P. J. Upton andJ. M. Yeomans:Phys. Rev. B,40, 479 (1989).
C. S. O. Yokoi, M. D. Coutinho-Filho andS. R. Salinas:Phys. Rev. B,31, 4502 (1985).
M. C. Barbosa:Phys. Rev. B,42, 6363 (1990);46 3672 (1992).
Y. Levin andK. A. Dawson:Phys. Rev. A,42, 1976 (1990);Y. Levin, C. J. Mundy andK. A. Dawson:Phys. Rev. A,45, 7309 (1992).
M. C. Barbosa:Phys. Rev. E,48, 1744 (1993).
D. Mukamel andS. Krinsky:Phys. Rev. B.,13, 5078 (1976).
M. C. Barbosa: the explicit derivation will be published elsewhere.
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Barbosa, M.C. Ising model with isotropic competing interactions in the presence of a field. Il Nuovo Cimento D 16, 795–802 (1994). https://doi.org/10.1007/BF02456726
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DOI: https://doi.org/10.1007/BF02456726