This article is cited in 2 papers

Spatial parity violation and the turbulent magnetic Prandtl number

E. Jurčišinová^a, M. Jurčišin^a, R. Remecky^ab, P. Zalom<sup>a

a</sup> Institute of Experimental Physics, Slovak Academy of Sciences, Košice, Slovakia
^b Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia

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

DOI: 10.4213/tmf8485

 English version: Theoretical and Mathematical Physics, 2013, 176:1, 956–963

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