Abstract:
Bogolyubov' s variational principle arid the method of approximating Hamiltonians are used to obtain equations for the free energy density in a generalized quadrupolar glass model for arbitrary distribution of the exchange interactions. Two definite models are considered by means of the proposed method. It is suggested that continuous growth of the orientational order parameter and the glass order parameter with decreasing temperature is determined by the quadrupole interaction itself and not by the form of the distribution of the coupling constants. It is shown that in a system with pure glass ordering there is no quadrupole phase.
Citation:
E. A. Luchinskaya, “Quadrupolar glass model with arbitrary distribution of the coupling constants”, TMF, 67:2 (1986), 314–319; Theoret. and Math. Phys., 67:2 (1986), 524–528
\Bibitem{Luc86}
\by E.~A.~Luchinskaya
\paper Quadrupolar glass model with arbitrary distribution of the coupling constants
\jour TMF
\yr 1986
\vol 67
\issue 2
\pages 314--319
\mathnet{http://mi.mathnet.ru/tmf5010}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=851565}
\transl
\jour Theoret. and Math. Phys.
\yr 1986
\vol 67
\issue 2
\pages 524--528
\crossref{https://doi.org/10.1007/BF01118160}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1986F368200012}
Linking options:
https://www.mathnet.ru/eng/tmf5010
https://www.mathnet.ru/eng/tmf/v67/i2/p314
This publication is cited in the following 5 articles:
K. Walasek, “Comment on "Quadrupolar glass freezing in solid hydrogen: Distribution functions for the orientational order parameters"”, Phys. Rev. B, 51:6 (1995), 3965
E. A. Luchinskaya, E. E. Tareeva, “Isotropic model of quadrupole glass”, Theoret. and Math. Phys., 87:3 (1991), 669–673
E. A. Luchinskaya, E. E. Tareeva, “Model of quadrupole glass with nonaxial interaction”, Theoret. and Math. Phys., 70:3 (1987), 336–338
M. I. Vladimir, S. P. Koshukar', V. A. Moskalenko, “On the theory of the orientational ordering of a solid orthohydrogen-parahydrogen mixtutre at zero temperature”, Theoret. and Math. Phys., 71:1 (1987), 429–438
M. I. Vladimir, S. P. Koshukar', V. A. Moskalenko, “Mean field method in the theory of quadrupolar glass with axial interaction of infinite range”, Theoret. and Math. Phys., 71:3 (1987), 632–638
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