Open AccessCancellation exponents and multifractal scaling laws in the solar wind magnetohydrodynamic turbulence
Author(s) -
V. Carbone,
R. Bruno
Publication year - 1996
Publication title -
annales geophysicae
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.522
H-Index - 93
eISSN - 1432-0576
pISSN - 0992-7689
DOI - 10.1007/s00585-996-0777-0
Subject(s) - turbulence , exponent , multifractal system , physics , magnetohydrodynamic turbulence , sign (mathematics) , scaling , singularity , solar wind , intermittency , statistical physics , magnetohydrodynamics , mechanics , mathematics , mathematical analysis , magnetic field , geometry , quantum mechanics , philosophy , linguistics , fractal
Some signed measures in turbulence are found\udto be sign-singular, that is their sign reverses continuously on arbitrary finer\udscales with a reduction of the cancellation between positive and negative\udcontributions. The strength of the singularity is characterized by a scaling\udexponent κ, the cancellation exponent. In the present study by using\udsome turbulent samples of the velocity field obtained from spacecraft\udmeasurements in the interplanetary medium, we show that sign-singularity is\udpresent everywhere in low-frequency turbulent samples. The cancellation exponent\udcan be related to the characteristic scaling laws of turbulence. Differences in\udthe values of κ, calculated in both high- and low-speed streams,\udallow us to outline some physical differences in the samples with different\udvelocities