Isotropic model of quadrupole glass

Luchinskaya, E. A.; Tareeva, E. E.

doi:10.1007/bf01017954

Theor Math Phys

1991

DOI: 10.1007/bf01017954

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Isotropic model of quadrupole glass

E. A. Luchinskaya¹,

E. E. Tareeva²

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Cited by 9 publications

(2 citation statements)

References 11 publications

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“…The three-state Potts spin glass was described earlier in our papers (see, e.g., [11,16,17]) using a representation in terms of the operators of quadrupole momenta:…”

mentioning

confidence: 99%

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Potts spin glasses with three, four and five states nearT=T_c: expanding around the replica symmetric solution

Gribova¹,

Schelkacheva²,

Tareyeva³

2010

J. Phys. A: Math. Theor.

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Expansion for the free energy functionals of the Potts spin glass models with 3, 4 and 5 states up to the fourth order in δq αβ around the replica symmetric solution (RS) is investigated using a special quadrupole-like representation. The temperature dependence of the 1RSB order parameters is obtained in the vicinity of the point T = T c where the RS solution becomes unstable. The crossover from continuous to jumpwise behavior with increasing of number of states is derived analytically. The comparison is made of the free energy expansion for the Potts spin glass with that for other models.

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“…The three-state Potts spin glass was described earlier in our papers (see, e.g., [11,16,17]) using a representation in terms of the operators of quadrupole momenta:…”

mentioning

confidence: 99%

“…Expanding the free energy (8) near T c up to v 4 and solving the equations that define the extremum conditions for the free energy, one can obtain [16]…”

mentioning

confidence: 99%

Potts spin glasses with three, four and five states nearT=T_c: expanding around the replica symmetric solution

Gribova¹,

Schelkacheva²,

Tareyeva³

2010

J. Phys. A: Math. Theor.

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Orientational quadrupolar glass in ortho-para hydrogen mixtures. I. Mean-field microscopic theory

Kokshenev

1996

J Low Temp Phys

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Orientational quadrupolar glass in ortho-para hydrogen mixtures. II. Comparison with experiment

Kokshenev

1996

J Low Temp Phys

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Isotropic model of quadrupole glass

Cited by 9 publications

References 11 publications

Potts spin glasses with three, four and five states nearT=T_c: expanding around the replica symmetric solution

Potts spin glasses with three, four and five states nearT=T_c: expanding around the replica symmetric solution

Orientational quadrupolar glass in ortho-para hydrogen mixtures. I. Mean-field microscopic theory

Orientational quadrupolar glass in ortho-para hydrogen mixtures. II. Comparison with experiment

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Isotropic model of quadrupole glass

Cited by 9 publications

References 11 publications

Potts spin glasses with three, four and five states nearT=Tc: expanding around the replica symmetric solution

Potts spin glasses with three, four and five states nearT=Tc: expanding around the replica symmetric solution

Orientational quadrupolar glass in ortho-para hydrogen mixtures. I. Mean-field microscopic theory

Orientational quadrupolar glass in ortho-para hydrogen mixtures. II. Comparison with experiment

Contact Info

Product

Resources

About

Potts spin glasses with three, four and five states nearT=T_c: expanding around the replica symmetric solution

Potts spin glasses with three, four and five states nearT=T_c: expanding around the replica symmetric solution