Geodesic
Properties of the quadrupole glass phase in the presence of an external field gradient
Teoretičeskaâ i matematičeskaâ fizika, Tome 71 (1987) no. 2, pp. 249-259

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The model of solid random ortho-parahydrogen mixtures with infinite-range interactions $J_{ij}$ between ortho-H$_2$ molecules is investigated. The probability distribution of $J_{ij}$ is supposed to be the normal one, with the first moment of the distribution equal to $J_0$. It is shown that introduction of the external electric field gradient $\gamma$ can induce the orientational phase transition with definite critical temperature. The existence of the quadrupolar glass phase is proved in the presence of $\gamma\neq 0$. The effect of ortho-H$_2$ molecules degeneration on the low temperature properties of such systems is demonstrated and the condition of replica-symmetrical solution stability is found. At low temperatures this solution is stable only for large values of $\gamma$ or $J_0$. 
@article{TMF_1987_71_2_a7,
     author = {L. A. Dogotar' and S. P. Koshukar' and V. A. Moskalenko},
     title = {Properties of the quadrupole glass phase in the presence of an external field gradient},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {249--259},
     publisher = {mathdoc},
     volume = {71},
     number = {2},
     year = {1987},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1987_71_2_a7/}
}
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L. A. Dogotar'; S. P. Koshukar'; V. A. Moskalenko. Properties of the quadrupole glass phase in the presence of an external field gradient. Teoretičeskaâ i matematičeskaâ fizika, Tome 71 (1987) no. 2, pp. 249-259. http://geodesic.mathdoc.fr/item/TMF_1987_71_2_a7/