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Teoreticheskaya i Matematicheskaya Fizika, 2013, Volume 176, Number 1, Pages 150–159
DOI: https://doi.org/10.4213/tmf8485 (Mi tmf8485) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Spatial parity violation and the turbulent magnetic Prandtl number

E. Jurčišinováa, M. Jurčišina, R. Remeckyab, P. Zaloma

a Institute of Experimental Physics, Slovak Academy of Sciences, Košice, Slovakia
b Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia
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DOI: https://doi.org/10.4213/tmf8485
Abstract: Using the field theory renormalization-group technique in the two-loop approximation, we study the influence of helicity (spatial parity violation) on the turbulent magnetic Prandtl number in the model of kinematic magnetohydrodynamic turbulence, where the magnetic field behaves as a passive vector quantity advected by the helical turbulent environment given by the stochastic Navier–Stokes equation. We show that the presence of helicity decreases the value of the turbulent magnetic Prandtl number and that the two-loop helical contribution to the turbulent magnetic Prandtl number is up to $4.2\%$ of its nonhelical value. This result demonstrates the strong stability of the properties of diffusion processes of the magnetic field in turbulent environments with spatial parity violation compared with the corresponding systems without the helicity.
Keywords: developed turbulence, passive advection, helicity, renormalization group.
Received: 19.12.2012
Revised: 20.02.2013
English version:
Theoretical and Mathematical Physics, 2013, Volume 176, Issue 1, Pages 956–963
DOI: https://doi.org/10.1007/s11232-013-0084-3
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: E. Jurčišinová, M. Jurčišin, R. Remecky, P. Zalom, “Spatial parity violation and the turbulent magnetic Prandtl number”, TMF, 176:1 (2013), 150–159; Theoret. and Math. Phys., 176:1 (2013), 956–963
Citation in format AMSBIB
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    • This publication is cited in the following 2 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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