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Mat. Zametki, 2004, Volume 76, Issue 5, Pages 748–761 (Mi mz145)  

This article is cited in 25 scientific papers (total in 25 papers)

Zeroth-Order Phase Transitions

V. P. Maslov

M. V. Lomonosov Moscow State University, Faculty of Physics

Abstract: In the theory of superfluidity and superconductivity, a jump of the free energy was discovered theoretically and was naturally called a zeroth-order phase transition. We present an example of an exactly solvable problem in which such a phase transition occurs.

DOI: https://doi.org/10.4213/mzm145

Full text: PDF file (217 kB)
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English version:
Mathematical Notes, 2004, 76:5, 697–710

Bibliographic databases:

UDC: 517.983
Received: 14.07.2004

Citation: V. P. Maslov, “Zeroth-Order Phase Transitions”, Mat. Zametki, 76:5 (2004), 748–761; Math. Notes, 76:5 (2004), 697–710

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. V. P. Maslov, “Thermal and gas dynamical processes in NPP's after an accident”, Theory Probab. Appl., 51:3 (2007), 513–517  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    2. Maslov V.P., “Synergetics and architecture”, Russ. J. Math. Phys., 15:1 (2008), 102–121  crossref  mathscinet  zmath  adsnasa  isi  elib
    3. Ibañez M., Links J., Sierra G., Zhao Shao-You, “Exactly solvable pairing model for superconductors with $p_x+ip_y$-wave symmetry”, Phys. Rev. B, 79:18 (2009), 180501  crossref  zmath  adsnasa  isi  elib  scopus  scopus
    4. Maslov V.P., “Theorems on the debt crisis and the occurrence of inflation”, Math. Notes, 85:1 (2009), 146–150  crossref  zmath  isi  elib  scopus  scopus
    5. Maslov V.P., “Theory of chaos and its application to the crisis of debts and the origin of inflation”, Russ. J. Math. Phys., 16:1 (2009), 103–120  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus  scopus
    6. Starikov E.B., “Many Faces of Entropy or Bayesian Statistical Mechanics”, Chemphyschem, 11:16 (2010), 3387–3394  crossref  isi  elib  scopus  scopus
    7. Altamirano N., Kubiznak D., Mann R.B., “Reentrant Phase Transitions in Rotating Anti-de Sitter Black Holes”, Phys. Rev. D, 88:10 (2013), 101502  crossref  adsnasa  isi  scopus  scopus
    8. Cai R.-G., Li L., Li L.-F., “A Holographic P-Wave Superconductor Model”, J. High Energy Phys., 2014, no. 1, 032  crossref  isi  scopus  scopus
    9. Dolan B.P., “Vacuum Energy and the Latent Heat of AdS-Kerr Black Holes”, Phys. Rev. D, 90:8 (2014), 084002  crossref  adsnasa  isi  scopus  scopus
    10. Cai R.-G., Li L., Li L.-F., Yang R.-Q., “Towards Complete Phase Diagrams of a Holographic P-Wave Superconductor Model”, J. High Energy Phys., 2014, no. 4, 016  crossref  mathscinet  isi  scopus  scopus
    11. Cai RongGen, Li Li, Li LiFang, Yang RunQiu, “Introduction To Holographic Superconductor Models”, Sci. China-Phys. Mech. Astron., 58:6 (2015), UNSP 060401  crossref  isi  elib  scopus  scopus
    12. Li L.-F., Cai R.-G., Li L., Shen Ch., “Entanglement Entropy in a Holographic P-Wave Superconductor Model”, Nucl. Phys. B, 894 (2015), 15–28  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    13. Chaturvedi P., Sengupta G., “P-Wave Holographic Superconductors From Born-Infeld Black Holes”, J. High Energy Phys., 2015, no. 4, 001  crossref  mathscinet  isi  elib  scopus  scopus
    14. Caldarelli M.M., Christodoulou A., Papadimitriou I., Skenderis K., “Phases of Planar AdS Black Holes With Axionic Charge”, J. High Energy Phys., 2017, no. 4, 001  crossref  mathscinet  isi
    15. Kubiznak D., Mann R.B., Teo M., “Black hole chemistry: thermodynamics with Lambda”, Class. Quantum Gravity, 34:6 (2017), 063001  crossref  mathscinet  zmath  isi  scopus
    16. Sherkatghanad Z., Mirza B., Mirzaiyan Z., Hosseini Mansoori S.A., “Critical behaviors and phase transitions of black holes in higher order gravities and extended phase spaces”, Int. J. Mod. Phys. D, 26:3 (2017)  crossref  mathscinet  zmath  isi  scopus
    17. Dehyadegari A., Sheykhi A., Montakhab A., “Novel Phase Transition in Charged Dilaton Black Holes”, Phys. Rev. D, 96:8 (2017), 084012  crossref  isi  scopus  scopus
    18. M. Zhang, D.-Ch. Zou, R.-H. Yue, “Reentrant phase transitions and triple points of topological AdS black holes in Born-Infeld-massive gravity”, Adv. High. Energy Phys., 2017, 3819246 \tota;pages 11  crossref  mathscinet  zmath  isi  scopus
    19. D.-Ch. Zou, R.-H. Yue, M. Zhang, “Reentrant phase transitions of higher-dimensional AdS black holes in dRGT massive gravity”, Eur. Phys. J. C, 77:4 (2017), 256  crossref  isi  scopus
    20. Dayyani Z., Sheykhi A., Dehghani M.H., Hajkhalili S., “Critical Behavior and Phase Transition of Dilaton Black Holes With Nonlinear Electrodynamics”, Eur. Phys. J. C, 78:2 (2018), 152  crossref  mathscinet  isi  scopus  scopus
    21. Zangeneh M.K., Dehyadegari A., Sheykhi A., Mann R.B., “Microscopic Origin of Black Hole Reentrant Phase Transitions”, Phys. Rev. D, 97:8 (2018), 084054  crossref  isi  scopus  scopus
    22. Dehyadegari A., Sheykhi A., “Reentrant Phase Transition of Born-Infeld-AdS Black Holes”, Phys. Rev. D, 98:2 (2018), 024011  crossref  isi  scopus
    23. Ma Yu.-B., Zhang L.-Ch., Cao Sh., Liu T., Geng Sh., Liu Yu., Pan Yu., “Entropy of the Electrically Charged Hairy Black Holes”, Eur. Phys. J. C, 78:9 (2018), 763  crossref  isi  scopus
    24. Meng K., “Hairy Black Holes of Lovelock-Born-Infeld-Scalar Gravity”, Phys. Lett. B, 784 (2018), 56–61  crossref  mathscinet  isi  scopus
    25. Maslov V.P., “Numeration as a Factor Relating the Quantum and Classical Mechanics of Ideal Gases”, Russ. J. Math. Phys., 25:4 (2018), 525–530  crossref  mathscinet  zmath  isi  scopus
  • Математические заметки Mathematical Notes
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