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 TMF, 1996, Volume 107, Number 2, Pages 288–306 (Mi tmf1156)

Equation of state in 3-D Ising model from microscopic level calculation

V. V. Dukhovyi, M. P. Kozlovskii, I. V. Pylyuk

Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine

Abstract: A new method for derivating of the equation of state in the 3-D Ising model on the simple cubic lattice with the exponentially decreasing potential is proposed. This equation describes the order parameter of the system as a function of the temperature, external field and the microscopic parameters of the system in the critical region. Numerical investigation of this function is performed for the case when the potential parameters correspond to the nearest neighbours interaction.

DOI: https://doi.org/10.4213/tmf1156

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English version:
Theoretical and Mathematical Physics, 1996, 107:2, 650–666

Bibliographic databases:

Citation: V. V. Dukhovyi, M. P. Kozlovskii, I. V. Pylyuk, “Equation of state in 3-D Ising model from microscopic level calculation”, TMF, 107:2 (1996), 288–306; Theoret. and Math. Phys., 107:2 (1996), 650–666

Citation in format AMSBIB
\Bibitem{DukKozPyl96} \by V.~V.~Dukhovyi, M.~P.~Kozlovskii, I.~V.~Pylyuk \paper Equation of state in 3-D Ising model from microscopic level calculation \jour TMF \yr 1996 \vol 107 \issue 2 \pages 288--306 \mathnet{http://mi.mathnet.ru/tmf1156} \crossref{https://doi.org/10.4213/tmf1156} \zmath{https://zbmath.org/?q=an:0937.82012} \transl \jour Theoret. and Math. Phys. \yr 1996 \vol 107 \issue 2 \pages 650--666 \crossref{https://doi.org/10.1007/BF02071378} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1996WG90100010} 

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• http://mi.mathnet.ru/eng/tmf/v107/i2/p288

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

This publication is cited in the following articles:
1. I. V. Pylyuk, “Critical behavior of the three-dimensional Ising sistem: Dependence of themodynamic characteristics on microscopic parameters”, Theoret. and Math. Phys., 117:3 (1998), 1459–1482
2. Pylyuk, IV, “Description of critical behavior of Ising ferromagnet in the rho(6) model approximation taking into account the confluent correction. II. Region below the phase transition point”, Low Temperature Physics, 25:12 (1999), 953
3. Pylyuk, IV, “Description of critical behavior of Ising ferromagnet in the rho(6) model approximation taking into account confluent correction. I. Region above the phase transition point”, Low Temperature Physics, 25:11 (1999), 877
4. Yukhnovskii, IR, “Study of the critical behaviour of three-dimensional Ising-like systems on the basis of the rho(6) model with allowance for microscopic parameters: II. Low-temperature region”, Journal of Physics-Condensed Matter, 14:45 (2002), 11701
5. Yukhnovskii, IR, “Study of the critical behaviour of three-dimensional Ising-like systems on the basis of the rho(6) model with allowance for microscopic parameters: I. High-temperature region”, Journal of Physics-Condensed Matter, 14:43 (2002), 10113
6. Yukhnovskii, IR, “Thermodynamics of three-dimensional Ising-like systems in the higher non-Gaussian approximation: Calculational method and dependence on microscopic parameters”, Physical Review B, 66:13 (2002), 134410
7. Kozlovskii, MP, “Microscopic description of the critical behavior of three-dimensional Ising-like systems in an external field”, Physical Review B, 73:17 (2006), 174406
8. Pylyuk I.V., Kozlovskii M.P., “Calculation of free energy of three-dimensional uniaxial magnet in external field based on the higher non-Gaussian distribution”, Statistical Physics: Modern Trends and Applications, AIP Conference Proceedings, 1198, 2009, 132–143
9. Pylyuk I.V., Kozlovskii M.P., “Calculation of free energy of a three-dimensional Ising-like system in an external field with the use of the rho(6) model”, Physica a-Statistical Mechanics and its Applications, 389:23 (2010), 5390–5401
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