skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Random walk of magnetic field-lines for different values of the energy range spectral index

Abstract

An analytical nonlinear description of field-line wandering in partially statistically magnetic systems was proposed recently. In this article the influence of the wave spectrum in the energy range onto field-line random walk is investigated by applying this formulation. It is demonstrated that in all considered cases we clearly obtain a superdiffusive behavior of the field-lines. If the energy range spectral index exceeds unity a free-streaming behavior of the field-lines can be found for all relevant length-scales of turbulence. Since the superdiffusive results obtained for the slab model are exact, it seems that superdiffusion is the normal behavior of field-line wandering.

Authors:
;  [1]
  1. Institut fuer Theoretische Physik, Lehrstuhl IV, Weltraum-und Astrophysik, Ruhr-Universitaet Bochum, D-44780 Bochum (Germany)
Publication Date:
OSTI Identifier:
21069911
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 14; Journal Issue: 11; Other Information: DOI: 10.1063/1.2803753; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ASTROPHYSICS; ENERGY SPECTRA; GRAPH THEORY; INDEXES; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; NONLINEAR PROBLEMS; PLASMA; PLASMA SIMULATION; RANDOMNESS; TURBULENCE

Citation Formats

Shalchi, A, and Kourakis, I. Random walk of magnetic field-lines for different values of the energy range spectral index. United States: N. p., 2007. Web. doi:10.1063/1.2803753.
Shalchi, A, & Kourakis, I. Random walk of magnetic field-lines for different values of the energy range spectral index. United States. https://doi.org/10.1063/1.2803753
Shalchi, A, and Kourakis, I. 2007. "Random walk of magnetic field-lines for different values of the energy range spectral index". United States. https://doi.org/10.1063/1.2803753.
@article{osti_21069911,
title = {Random walk of magnetic field-lines for different values of the energy range spectral index},
author = {Shalchi, A and Kourakis, I},
abstractNote = {An analytical nonlinear description of field-line wandering in partially statistically magnetic systems was proposed recently. In this article the influence of the wave spectrum in the energy range onto field-line random walk is investigated by applying this formulation. It is demonstrated that in all considered cases we clearly obtain a superdiffusive behavior of the field-lines. If the energy range spectral index exceeds unity a free-streaming behavior of the field-lines can be found for all relevant length-scales of turbulence. Since the superdiffusive results obtained for the slab model are exact, it seems that superdiffusion is the normal behavior of field-line wandering.},
doi = {10.1063/1.2803753},
url = {https://www.osti.gov/biblio/21069911}, journal = {Physics of Plasmas},
issn = {1070-664X},
number = 11,
volume = 14,
place = {United States},
year = {Thu Nov 15 00:00:00 EST 2007},
month = {Thu Nov 15 00:00:00 EST 2007}
}