Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



TMF:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Teoreticheskaya i Matematicheskaya Fizika, 1985, Volume 63, Number 2, Pages 270–279 (Mi tmf4761)  

This article is cited in 20 scientific papers (total in 20 papers)

Exactly solvable dd-dimensional model of a structural phase transition

N. M. Plakida, N. S. Tonchev
References:
Abstract: The approximating Hamiltonian method is used to show that the lattice model gφ4gφ4 with coupling constant g=λ/Ng=λ/N has an exact solution. The thermodynamics of the phase transition in this model is investigated.
Received: 18.07.1984
English version:
Theoretical and Mathematical Physics, 1985, Volume 63, Issue 2, Pages 504–511
DOI: https://doi.org/10.1007/BF01017907
Bibliographic databases:
Language: Russian
Citation: N. M. Plakida, N. S. Tonchev, “Exactly solvable dd-dimensional model of a structural phase transition”, TMF, 63:2 (1985), 270–279; Theoret. and Math. Phys., 63:2 (1985), 504–511
Citation in format AMSBIB
\Bibitem{PlaTon85}
\by N.~M.~Plakida, N.~S.~Tonchev
\paper Exactly solvable $d$-dimensional model of a~structural phase transition
\jour TMF
\yr 1985
\vol 63
\issue 2
\pages 270--279
\mathnet{http://mi.mathnet.ru/tmf4761}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=800069}
\transl
\jour Theoret. and Math. Phys.
\yr 1985
\vol 63
\issue 2
\pages 504--511
\crossref{https://doi.org/10.1007/BF01017907}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1985AVT5500009}
Linking options:
  • https://www.mathnet.ru/eng/tmf4761
  • https://www.mathnet.ru/eng/tmf/v63/i2/p270
  • This publication is cited in the following 20 articles:
    1. 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  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    2. Alexei L Rebenko, Valentin A Zagrebnov, “Gibbs state uniqueness for an anharmonic quantum crystal with a non-polynomial double-well potential”, J. Stat. Mech., 2006:09 (2006), P09002  crossref
    3. Christian Gruber, Valentin A. Zagrebnov, “Random-field quantum spherical ferroelectric model”, Journal of Mathematical Physics, 45:8 (2004), 3310  crossref
    4. R. A. MINLOS, A. VERBEURE, V. A. ZAGREBNOV, “A QUANTUM CRYSTAL MODEL IN THE LIGHT-MASS LIMIT: GIBBS STATES”, Rev. Math. Phys., 12:07 (2000), 981  crossref
    5. A. Yu. Cherny, “The influence of the critical fluctuations under the structural phase transition on the superconducting pairing”, Theoret. and Math. Phys., 107:1 (1996), 550–559  mathnet  crossref  crossref  zmath  isi
    6. A. Verbeure, V. A. Zagrebnov, “Dynamics of quantum fluctuations in an anharmonic crystal model”, J Stat Phys, 79:1-2 (1995), 377  crossref
    7. A Verbeure, V.A Zagrebnov, “Collective excitations in the anharmonic crystal”, Physica A: Statistical Mechanics and its Applications, 215:3 (1995), 394  crossref
    8. H. Chamati, N. S. Tonchev, “Symmetry breaking and long-range order: Ann-component model of a structural phase transition”, Phys. Rev. B, 49:6 (1994), 4311  crossref
    9. A. Verbeure, V.A. Zagrebnov, “Quantum critical fluctuations in an anharmonic crystal model”, Reports on Mathematical Physics, 33:1-2 (1993), 265  crossref
    10. 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  crossref
    11. N. M. Plakida, A. Yu. Cherny, “Isotopic effect in a superconductor with structural phase transition”, Theoret. and Math. Phys., 84:1 (1990), 758–763  mathnet  crossref  isi
    12. A. O. Melikyan, S. M. Saakyan, “A method of calculating the partition function of a system of phonons with allowance for anharmonicit”, Theoret. and Math. Phys., 75:2 (1988), 531–536  mathnet  crossref  mathscinet  isi
    13. J. L. van Hemmen, V. A. Zagrebnov, “Models of a structural phase transition with general anharmonicity and disorder”, J Stat Phys, 53:3-4 (1988), 835  crossref
    14. Andrzej Radosz, “A pseudo-goldstone mode in the exactly solvable model of phase transitions”, Physics Letters A, 127:6-7 (1988), 319  crossref
    15. Yu. M. Ivanchenko, A. A. Lisyanskii, A. E. Filippov, “Exactly solvable model of phase transitions”, Theoret. and Math. Phys., 71:3 (1987), 649–656  mathnet  crossref  mathscinet  isi
    16. Yu. M. Ivanchenko, A. A. Lisyanskii, A. E. Filippov, “Fluctuation-induced phase transition of the first kind in an exactly solvable model”, Theoret. and Math. Phys., 72:1 (1987), 786–790  mathnet  crossref  mathscinet  isi
    17. 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  mathnet  crossref  mathscinet  isi
    18. N.M. Plakida, A. Radosz, N.S. Tonchev, “Exactly soluble model of phase transition with cubic anisotropy”, Physica A: Statistical Mechanics and its Applications, 143:1-2 (1987), 227  crossref
    19. S. Stamenković, N.S. Tonchev, V.A. Zagrebnov, “Exactly soluble model for structural phase transition with a Gaussian type anharmonicity”, Physica A: Statistical Mechanics and its Applications, 145:1-2 (1987), 262  crossref
    20. Yu. M. Ivanchenko, A. A. Lisyanskii, A. E. Filippov, “Critical behavior and finite volume”, Theoret. and Math. Phys., 67:1 (1986), 413–418  mathnet  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:315
    Full-text PDF :110
    References:61
    First page:3
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025