Statistics of active versus passive advections in magnetohydrodynamic turbulence

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 69, Issue 5 1, 2004, Pages

  Gilbert, Thomas ^a   Mitra, Dhrubaditya ^b  

^a CNRS   (France)

^b INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; ENERGY DISSIPATION; INTEGRATION; MAGNETIC FIELDS; MAGNETIC FLUX; NUMERICAL METHODS; STRUCTURAL ANALYSIS; TURBULENCE; TURBULENT FLOW; VISCOSITY;

MAGNETIC HELICITY; MAGNETOHYDRODYNAMIC FIELDS; PASSIVE FIELDS; SHELL MODELS; TWO-DIMENSIONAL MAGNETOHYDRODYNAMIC TURBULENCE;

MAGNETOHYDRODYNAMICS;

EID: 42749102719     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

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15. (N) is not defined on a compact space. Only in the case of scaling advecting field is it possible to write down a proper operator and identify the zero modes as left eigenmodes with unit eigenvalues [9].
16. α statistical integral of motion. This can be proved if the velocity driving the passive field is Kraichnan (i.e., Gaussian delta correlated in time), but for a generic velocity field we know no way to rigorously prove this. One can, however, argue that the statistical integral of motion should depend on the geometry of the correlation function and not on the details of the statistics of the advecting field.