Abstract
The transport of plasma and of energetic particles because of magnetic turbulence is relevant to many space plasmas, ranging from the planetary magnetospheres to the solar corona and to the heliosphere. Various transport regimes for magnetic field lines can be obtained depending on the Kubo number. Here we show, by means of a numerical simulation, that the Kubo number also determines the level of chaos of the field lines. Weak chaos, closed magnetic surfaces, and anomalous transport regimes are obtained for R≪ 1; widespread chaos, destroyed magnetic surfaces, and quasilinear scaling of the diffusion coefficient for R ≳ 0.3; and global stochasticity as well as percolation scaling of the diffusion coefficient for R≫ 1.
Similar content being viewed by others
References
Isichenko, M.B.: 1991, Effective plasma heat conductivity in a 'braided' magnetic field-II. Percolation limit, Plasma Phys. Control. Fusion 33, 809-826.
Jokipii, J.R. and Parker, E.N.: 1968, Random walk of magnetic lines of force in astrophysics, Phys. Rev. Lett. 21, 44-47.
Pommois, P., Zimbardo, G. and Veltri, P.: 1998, Magnetic field line transport in three dimensional turbulence: Lévy random walk and spectrum models, Phys. Plasmas 5, 1288-1297.
Pommois, P., Veltri, P. and Zimbardo, G.: 1999, Anomalous and Gaussian transport regimes in anisotropic 3-D magnetic turbulence, Phys. Rev. E 59, 2244-2252.
Zimbardo, G., Veltri, P., Basile, G. and Principato, S.: 1995, Anomalous diffusion and Lévy random walk of magnetic field lines in three dimensional turbulence, Phys. Plasmas 2, 2653-2663.
Zimbardo, G., Veltri, P. and Pommois, P.: 2000, Anomalous, quasilinear, and percolative regimes for magnetic-field-line transport in axially symmetric turbulence, Phys. Rev. E 61, 1940-1948.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Zimbardo, G., Veltri, P. & Pommois, P. Magnetic Field Line Transport in Anisotropic Magnetic Turbulence: Anomalous, Quasilinear, and Percolative Regimes Versus the Kubo Number. Astrophysics and Space Science 277, 101–102 (2001). https://doi.org/10.1023/A:1012275926864
Issue Date:
DOI: https://doi.org/10.1023/A:1012275926864