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Teoreticheskaya i Matematicheskaya Fizika, 2013, Volume 176, Number 1, Pages 3–12
DOI: https://doi.org/10.4213/tmf8469 (Mi tmf8469) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Principle of maximal randomness and parity violation in turbulence

L. Ts. Adzhemyana, M. Gnatichbc, M. V. Kompanietsa

a Saint Petersburg State University, St. Petersburg, Russia
b Institute of Experimental Physics, Slovak Academy of Sciences, Košice, Slovakia
c P. J. Šafárik University in Košice, Košice
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DOI: https://doi.org/10.4213/tmf8469
Abstract: We show that in the self-consistent equations for equal-time correlation functions of velocity fluctuations obtained in the model of developed turbulence based on the maximal randomness principle, infrared divergences are absent from all orders of the perturbation theory. We analyze the additional ultraviolet (UV) divergences that appear in the two-loop approximation of the self-consistent equations. We show that in the system with conserved parity, these divergences can be eliminated using the existing ambiguity in the solution. In the case of parity violation in the system, the UV divergences have a logarithmic form, which can indicate a deviation from the Kolmogorov scaling.
Keywords: self-consistency equation, Kolmogorov power law, helicity, parity violation, infrared divergence, ultraviolet divergence.
English version:
Theoretical and Mathematical Physics, 2013, Volume 176, Issue 1, Pages 835–842
DOI: https://doi.org/10.1007/s11232-013-0070-9
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. Ts. Adzhemyan, M. Gnatich, M. V. Kompaniets, “Principle of maximal randomness and parity violation in turbulence”, TMF, 176:1 (2013), 3–12; Theoret. and Math. Phys., 176:1 (2013), 835–842
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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