Abstract
Recently M. Vergassola [Phys. Rev. E 53, R3021 (1996)] considered the possibility of anomalous scaling in the three-dimensional dynamo problem. It has been shown that the two-point correlation function of magnetic field, advected by a white-in-time random velocity field with zero helicity has anomalous inertial-range scaling exponent in a statistically steady state. In this work we demonstrate that for the same problem the scaling of covariance of magnetic helicity is normal. The difference in scalings comes from the fact that unlike magnetic energy magnetic helicity in this problem is conserved. It is also conjectured that even small violation of parity invariance of the velocity field makes existence of the steady-state solution impossible.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.