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Uritsky, V.M.; Pouquet, A.; Rosenberg, D.; Mininni, P.D.; Donovan, E.F. "Structures in magnetohydrodynamic turbulence: Detection and scaling" (2010) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 82(5)
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Abstract:

We present a systematic analysis of statistical properties of turbulent current and vorticity structures at a given time using cluster analysis. The data stem from numerical simulations of decaying three-dimensional magnetohydrodynamic turbulence in the absence of an imposed uniform magnetic field; the magnetic Prandtl number is taken equal to unity, and we use a periodic box with grids of up to 15363 points and with Taylor Reynolds numbers up to 1100. The initial conditions are either an X -point configuration embedded in three dimensions, the so-called Orszag-Tang vortex, or an Arn'old-Beltrami-Childress configuration with a fully helical velocity and magnetic field. In each case two snapshots are analyzed, separated by one turn-over time, starting just after the peak of dissipation. We show that the algorithm is able to select a large number of structures (in excess of 8000) for each snapshot and that the statistical properties of these clusters are remarkably similar for the two snapshots as well as for the two flows under study in terms of scaling laws for the cluster characteristics, with the structures in the vorticity and in the current behaving in the same way. We also study the effect of Reynolds number on cluster statistics, and we finally analyze the properties of these clusters in terms of their velocity-magnetic- field correlation. Self-organized criticality features have been identified in the dissipative range of scales. A different scaling arises in the inertial range, which cannot be identified for the moment with a known self-organized criticality class consistent with magnetohydrodynamics. We suggest that this range can be governed by turbulence dynamics as opposed to criticality and propose an interpretation of intermittency in terms of propagation of local instabilities. © 2010 The American Physical Society.

Registro:

Documento: Artículo
Título:Structures in magnetohydrodynamic turbulence: Detection and scaling
Autor:Uritsky, V.M.; Pouquet, A.; Rosenberg, D.; Mininni, P.D.; Donovan, E.F.
Filiación:Physics and Astronomy Department, University of Calgary, Calgary, AB T2N1N4, Canada
NCAR, P.O. Box 3000, Boulder, CO 80307-3000, United States
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
IFIBA, CONICET, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Palabras clave:Beltrami; Cluster statistics; Initial conditions; Intermittency; Local instability; Magnetic Prandtl numbers; Magnetohydrodynamic turbulence; Numerical simulation; Self-organized criticality; Statistical properties; Systematic analysis; Taylor-Reynolds number; Three dimensions; Turbulence dynamics; Vorticity structure; X-point; Cluster analysis; Criticality (nuclear fission); Magnetic fields; Reynolds number; Three dimensional computer graphics; Turbulence; Vorticity; Magnetohydrodynamics
Año:2010
Volumen:82
Número:5
DOI: http://dx.doi.org/10.1103/PhysRevE.82.056326
Título revista:Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Título revista abreviado:Phys. Rev. E Stat. Nonlinear Soft Matter Phys.
ISSN:15393755
CODEN:PLEEE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v82_n5_p_Uritsky

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Citas:

---------- APA ----------
Uritsky, V.M., Pouquet, A., Rosenberg, D., Mininni, P.D. & Donovan, E.F. (2010) . Structures in magnetohydrodynamic turbulence: Detection and scaling. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 82(5).
http://dx.doi.org/10.1103/PhysRevE.82.056326
---------- CHICAGO ----------
Uritsky, V.M., Pouquet, A., Rosenberg, D., Mininni, P.D., Donovan, E.F. "Structures in magnetohydrodynamic turbulence: Detection and scaling" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 82, no. 5 (2010).
http://dx.doi.org/10.1103/PhysRevE.82.056326
---------- MLA ----------
Uritsky, V.M., Pouquet, A., Rosenberg, D., Mininni, P.D., Donovan, E.F. "Structures in magnetohydrodynamic turbulence: Detection and scaling" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 82, no. 5, 2010.
http://dx.doi.org/10.1103/PhysRevE.82.056326
---------- VANCOUVER ----------
Uritsky, V.M., Pouquet, A., Rosenberg, D., Mininni, P.D., Donovan, E.F. Structures in magnetohydrodynamic turbulence: Detection and scaling. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2010;82(5).
http://dx.doi.org/10.1103/PhysRevE.82.056326