I. G. Brankov, V. A. Zagrebnov, N. S. Tonchev, “Description of limit gibbs states for Curie–Weiss–Ising model”, TMF, 66:1 (1986), 109–120; Theoret. and Math. Phys., 66:1 (1986), 72

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Teoreticheskaya i Matematicheskaya Fizika, 1986, Volume 66, Number 1, Pages 109–120 (Mi tmf4598)

This article is cited in 10 scientific papers (total in 10 papers)

Description of limit gibbs states for Curie–Weiss–Ising model

I. G. Brankov, V. A. Zagrebnov, N. S. Tonchev

Full-text PDF (1214 kB) Citations (10)

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Abstract: Bogolyubov's method of quasiaverages is used to describe the limit equilibrium states of the ferromagnetic Curie–Weiss–Ising model in zero magnetic field. It is shown that they are translatioaally invariant and are linear convex combinations of two extreme points (pure phases).

Received: 14.01.1985

English version:
Theoretical and Mathematical Physics, 1986, Volume 66, Issue 1, Pages 72–80
DOI: https://doi.org/10.1007/BF01028941

Bibliographic databases:

Language: Russian

Citation: I. G. Brankov, V. A. Zagrebnov, N. S. Tonchev, “Description of limit gibbs states for Curie–Weiss–Ising model”, TMF, 66:1 (1986), 109–120; Theoret. and Math. Phys., 66:1 (1986), 72–80

Citation in format AMSBIB

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\jour Theoret. and Math. Phys.

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\pages 72--80

\crossref{https://doi.org/10.1007/BF01028941}

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Linking options:

https://www.mathnet.ru/eng/tmf4598

https://www.mathnet.ru/eng/tmf/v66/i1/p109

This publication is cited in the following 10 articles:

Kalle Koskinen, “Infinite Volume Gibbs States and Metastates of the Random Field Mean-Field Spherical Model”, J Stat Phys, 190:3 (2023)
W. F. Wreszinski, V. A. Zagrebnov, “Bogoliubov quasiaverages: Spontaneous symmetry breaking and the algebra of fluctuations”, Theoret. and Math. Phys., 194:2 (2018), 157–188
A. E. Patrick, “A Droplet Within the Spherical Model”, J Stat Phys, 142:5 (2011), 1085
J. G. Brankov, N. S. Tonchev, “Finite-size scaling in the presence of an inhomogeneous external field: An analytical-model treatment”, Phys. Rev. B, 50:5 (1994), 2970
A. Verbeure, V. A. Zagrebnov, “Gaussian, non-Gaussian critical fluctuations in the Curie-Weiss model”, J Stat Phys, 75:5-6 (1994), 1137
A. E. Patrick, “On phase separation in the spherical model of a ferromagnet: Quasiaverage approach”, J Stat Phys, 72:3-4 (1993), 665
A. Verbeure, V. A. Zagrebnov, “Phase transitions and algebra of fluctuation operators in an exactly soluble model of a quantum anharmonic crystal”, J Stat Phys, 69:1-2 (1992), 329
J. M. G. Amaro de Matos, A. E. Patrick, V. A. Zagrebnov, “Random infinite-volume Gibbs states for the Curie-Weiss random field Ising model”, J Stat Phys, 66:1-2 (1992), 139
J.G. Brankov, “Finite-size effects in the approximating Hamiltonian method”, Physica A: Statistical Mechanics and its Applications, 168:3 (1990), 1035
N. M. Plakida, N. S. Tonchev, “Equation of state in an exactly solvable model of a structural phase transition”, Theoret. and Math. Phys., 72:2 (1987), 872–877

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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