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Teoreticheskaya i Matematicheskaya Fizika, 1997, Volume 110, Number 3, Pages 385–398
DOI: https://doi.org/10.4213/tmf976
(Mi tmf976)
 

This article is cited in 22 scientific papers (total in 22 papers)

Renormalization group in the problem of the fully developed turbulence of a compresible fluid

N. V. Antonov, M. Yu. Nalimov, A. A. Udalov

Saint-Petersburg State University
References:
Abstract: A model of the fully developed turbulence of a compressible fluid based on the stohastic Navier–Stokes equation is considered by means of the field theoretic renormalization group. It is proved that the model is multiplicatively renormalizable in terms of the variables “velocity – logarithm of the pressure”. The scaling dimensions of the fields and parameters are calculated in the first order of the $\epsilon$-expansion. The dependence of the effective sound velocity and the Mach number on the integral turbulence scale $L$ is studied.
Received: 08.08.1996
English version:
Theoretical and Mathematical Physics, 1997, Volume 110, Issue 3, Pages 305–315
DOI: https://doi.org/10.1007/BF02630456
Bibliographic databases:
Language: Russian
Citation: N. V. Antonov, M. Yu. Nalimov, A. A. Udalov, “Renormalization group in the problem of the fully developed turbulence of a compresible fluid”, TMF, 110:3 (1997), 385–398; Theoret. and Math. Phys., 110:3 (1997), 305–315
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/tmf976
  • https://doi.org/10.4213/tmf976
  • https://www.mathnet.ru/eng/tmf/v110/i3/p385
  • This publication is cited in the following 22 articles:
    1. N. V. Antonov, A. A. Babakin, N. M. Gulitskiy, P. I. Kakin, “Field Theoretic Renormalization Group in an Infinite-Dimensional Model of Random Surface Growth in Random Environment”, J Stat Phys, 192:2 (2025)  crossref
    2. N. V. Antonov, M. M. Tumakova, “A General Vector Field Coupled to a Strongly Compressible Turbulent Flow”, J Math Sci, 275:3 (2023), 225  crossref
    3. N. V. Antonov, M. M. Tumakova, “A general vector field coupled to a strongly compressible turbulent flow”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 28, Zap. nauchn. sem. POMI, 509, POMI, SPb., 2021, 5–24  mathnet
    4. Honkonen J., “Comment on “Turbulent Compressible Fluid: Renormalization Group Analysis, Scaling Regimes, and Anomalous Scaling of Advected Scalar Fields””, Phys. Rev. E, 104:2 (2021), 027101  crossref  isi
    5. Danco M., Hnatic M., Lucivjansky T., Mizisin L., “Renormalization Group Study of Superfluid Phase Transition: Effect of Compressibility”, Phys. Rev. E, 102:2 (2020), 022118  crossref  isi
    6. Menkyna M., “Influence of Compressibility on Scaling Regimes of Kraichnan Model With Finite Time Correlations: Two-Loop Rg Analysis”, Eur. Phys. J. B, 93:4 (2020), 71  crossref  isi
    7. Antonov N.V. Gulitskiy N.M. Kostenko M.M. Lucivjansky T., “Passive Advection of a Vector Field By Compressible Turbulent Flow: Renormalizations Group Analysis Near D = 4”, Universe, 5:1 (2019), 37  crossref  isi  scopus
    8. N. V. Antonov, N. M. Gulitskii, M. M. Kostenko, T. Lučivjanský, “Renormalization group analysis of models of advection of a vector admixture and a tracer field by a compressible turbulent flow”, Theoret. and Math. Phys., 200:3 (2019), 1294–1312  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    9. Michal Hnatič, Nikolay M. Gulitskiy, Tomáš Lučivjanský, Lukáš Mižišin, Viktor Škultéty, Springer Proceedings in Complexity, 11th Chaotic Modeling and Simulation International Conference, 2019, 175  crossref
    10. Honkonen J. Lucivjansky T. Skultety V., “Influence of Turbulent Mixing on Critical Behavior of Directed Percolation Process: Effect of Compressibility”, Phys. Rev. E, 97:2 (2018), 022123  crossref  isi  scopus  scopus  scopus
    11. Antonov N.V. Gulitskiy N.M. Kostenko M.M. Lucivjansky T., “Turbulent compressible fluid: Renormalization group analysis, scaling regimes, and anomalous scaling of advected scalar fields”, Phys. Rev. E, 95:3 (2017), 033120  crossref  mathscinet  isi  scopus
    12. Antonov N.V. Hnatich M. Kapustin A.S. Lucivjansky T. Mizisin L., “Active-to-Absorbing Phase Transition Subjected to the Velocity Fluctuations in the Frozen Limit Case”, Phys. Part. Nuclei Lett., 14:6 (2017), 944–952  crossref  isi  scopus  scopus  scopus
    13. Antonov N.V. Gulitskiy N.M. Kostenko M.M. Lucivjansky T., “Stochastic Navier–Stokes Equation and Advection of a Tracer Field: One-Loop Renormalization Near D=4”, 5Th International Conference on New Frontiers in Physics, Epj Web of Conferences, 164, ed. Bravina L. Foka Y. Kabana S., E D P Sciences, 2017, 07044  crossref  isi  scopus  scopus  scopus
    14. Antonov N.V. Gulitskiy N.M. Kostenko M.M. Lucivjansky T., “Advection of a Passive Scalar Field By Turbulent Compressible Fluid: Renormalization Group Analysis Near D=4”, Xiith Quark Confinement and the Hadron Spectrum, Epj Web of Conferences, 137, ed. Foka Y. Brambilla N. Kovalenko V., E D P Sciences, 2017, UNSP 10003  crossref  isi  scopus  scopus  scopus
    15. Antonov N.V. Hnatic M. Kapustin A.S. Lucivjansky T. Mizisin L., “Directed Percolation Process in the Presence of Velocity Fluctuations: Effect of Compressibility and Finite Correlation Time”, Phys. Rev. E, 93:1 (2016), 012151  crossref  mathscinet  adsnasa  isi  scopus  scopus  scopus
    16. 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  scopus  scopus
    17. Pharasi H.K. Bhattacharjee J.K., “Dynamic Scaling and Large Scale Effects in Turbulence in Compressible Stratified Fluid”, Phys. Lett. A, 380:1-2 (2016), 222–226  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    18. A.V. Antonov, N.M. Gulitskiy, M.M. Kostenko, T. Lučivjanský, V.A. Andrianov, V.A. Matveev, V.A. Rubakov, V.T. Kim, A.A. Andrianov, M.D. Fitkevich, “Renormalization group analysis of a turbulent compressible fluid neard= 4: Crossover between local and non-local scaling regimes”, EPJ Web Conf., 125 (2016), 05006  crossref
    19. Antonov N.V. Kostenko M.M., “Anomalous Scaling in Magnetohydrodynamic Turbulence: Effects of Anisotropy and Compressibility in the Kinematic Approximation”, Phys. Rev. E, 92:5 (2015), 053013  crossref  mathscinet  adsnasa  isi  elib  scopus  scopus  scopus
    20. Antonov N.V. Kostenko M.M., “Anomalous Scaling of Passive Scalar Fields Advected By the Navier–Stokes Velocity Ensemble: Effects of Strong Compressibility and Large-Scale Anisotropy”, Phys. Rev. E, 90:6 (2014), 063016  crossref  mathscinet  adsnasa  isi  scopus  scopus  scopus
    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
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