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TMF, 2011, Volume 169, Number 1, Pages 89–99 (Mi tmf6711)  

This article is cited in 3 scientific papers (total in 3 papers)

Bose condensation: The viscosity critical dimension and developed turbulence

M. V. Komarova, D. M. Krasnov, M. Yu. Nalimov

Saint Petersburg State University, St.~Petersburg, Russia

Abstract: We propose a model for studying the mutual influence of critical fluctuations in the vicinity of the critical point of phase transition to a superfluid state and the velocity fluctuations in the developed turbulence regime. We demonstrate the presence of two different regimes: the turbulence regime and the equilibrium regime. We show that the standard critical behavior can break in the turbulence regime. The viscosity becomes an infrared-irrelevant parameter in the equilibrium regime. We justify the assumption that the viscosity critical dimension in this regime is determined by critical indices of the critical behavior statistical model, which are currently known with sufficient accuracy.

Keywords: Bose–Einstein condensation, developed turbulence, renormalization group, stochastic dynamics, critical behavior

DOI: https://doi.org/10.4213/tmf6711

Full text: PDF file (358 kB)
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English version:
Theoretical and Mathematical Physics, 2011, 169:1, 1441–1449

Bibliographic databases:

Document Type: Article
Received: 20.10.2011

Citation: M. V. Komarova, D. M. Krasnov, M. Yu. Nalimov, “Bose condensation: The viscosity critical dimension and developed turbulence”, TMF, 169:1 (2011), 89–99; Theoret. and Math. Phys., 169:1 (2011), 1441–1449

Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf6711
  • http://mi.mathnet.ru/eng/tmf/v169/i1/p89

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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. M. Gnatich, M. V. Komarova, M. Yu. Nalimov, “Microscopic justification of the stochastic F-model of critical dynamics”, Theoret. and Math. Phys., 175:3 (2013), 779–787  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    2. M. Dančo, M. Gnatich, M. V. Komarova, D. M. Krasnov, T. Lučivjanský, L. Mižišin, M. Yu. Nalimov, “Influence of hydrodynamic fluctuations on the phase transition in the $E$ and $F$ models of critical dynamics”, Theoret. and Math. Phys., 176:1 (2013), 888–897  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    3. Danco M. Hnatic M. Komarova M.V. Lucivjansky T. Nalimov M.Yu., “Superfluid Phase Transition With Activated Velocity Fluctuations: Renormalization Group Approach”, Phys. Rev. E, 93:1 (2016), 012109  crossref  mathscinet  adsnasa  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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