Mathematics – Probability
Scientific paper
Mar 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010aipc.1216..115p&link_type=abstract
TWELFTH INTERNATIONAL SOLAR WIND CONFERENCE. AIP Conference Proceedings, Volume 1216, pp. 115-119 (2010).
Mathematics
Probability
1
Solar Wind, Magnetohydrodynamics, Helicity (Elementary Particles), Magnetic Fields, Fast Fourier Transforms, Probability, Particle Emission, Solar Wind, Magnetohydrodynamics And Plasmas, Heliopause And Solar Wind Termination, Gravitational Radiation, Magnetic Fields, And Other Observations, Fourier Analysis, Probability Theory
Scientific paper
A theory of incompressible MHD turbulence with nonvanishing cross-helicity is derived based on two new observations from the Wind spacecraft. The first is the observation that the normalized cross-helicity αc is approximately scale-invariant throughout the inertial range. The second is the observation that the probabilities p and q for velocity and magnetic field fluctuations to be positively or negatively aligned are also approximately scale-invariant. The theory extends the theory of Boldyrev (2006) to turbulence with nonvanishing cross-helicity assuming that the cascades of the two Elsasser energies are both in a state of critical balance.
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