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Title: Anisotropies in magnetic field evolution and local Lyapunov exponents

Abstract

The natural occurrence of small scale structures and the extreme anisotropy in the evolution of a magnetic field embedded in a conducting flow is interpreted in terms of the properties of the local Lyapunov exponents along the various local characteristic (un)stable directions for the Lagrangian flow trajectories. The local Lyapunov exponents and the characteristic directions are functions of Lagrangian coordinates and time, which are completely determined once the flow field is specified. The characteristic directions that are associated with the spatial anisotropy of the problem, are prescribed in both Lagrangian and Eulerian frames. Coordinate transformation techniques are employed to relate the spatial distributions of the magnetic field, the induced current density, and the Lorentz force, which are usually followed in Eulerian frame, to those of the local Lyapunov exponents, which are naturally defined in Lagrangian coordinates.

Authors:
;
Publication Date:
Research Org.:
Princeton Plasma Physics Lab., Princeton, NJ (US) (US)
Sponsoring Org.:
USDOE Office of Energy Research (ER) (US) (US)
OSTI Identifier:
750157
Report Number(s):
PPPL-3417
TRN: US0004915
DOE Contract Number:  
AC02-76CH03073
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: 13 Jan 2000
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ANISOTROPY; MAGNETIC FIELDS; LYAPUNOV METHOD; LAGRANGIAN FUNCTION; TRANSFORMATIONS; CURRENT DENSITY; LORENTZ FORCE; COORDINATES; MAGNETIC FIELD CONFIGURATIONS

Citation Formats

Tang, X Z, and Boozer, A H. Anisotropies in magnetic field evolution and local Lyapunov exponents. United States: N. p., 2000. Web. doi:10.2172/750157.
Tang, X Z, & Boozer, A H. Anisotropies in magnetic field evolution and local Lyapunov exponents. United States. https://doi.org/10.2172/750157
Tang, X Z, and Boozer, A H. 2000. "Anisotropies in magnetic field evolution and local Lyapunov exponents". United States. https://doi.org/10.2172/750157. https://www.osti.gov/servlets/purl/750157.
@article{osti_750157,
title = {Anisotropies in magnetic field evolution and local Lyapunov exponents},
author = {Tang, X Z and Boozer, A H},
abstractNote = {The natural occurrence of small scale structures and the extreme anisotropy in the evolution of a magnetic field embedded in a conducting flow is interpreted in terms of the properties of the local Lyapunov exponents along the various local characteristic (un)stable directions for the Lagrangian flow trajectories. The local Lyapunov exponents and the characteristic directions are functions of Lagrangian coordinates and time, which are completely determined once the flow field is specified. The characteristic directions that are associated with the spatial anisotropy of the problem, are prescribed in both Lagrangian and Eulerian frames. Coordinate transformation techniques are employed to relate the spatial distributions of the magnetic field, the induced current density, and the Lorentz force, which are usually followed in Eulerian frame, to those of the local Lyapunov exponents, which are naturally defined in Lagrangian coordinates.},
doi = {10.2172/750157},
url = {https://www.osti.gov/biblio/750157}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Thu Jan 13 00:00:00 EST 2000},
month = {Thu Jan 13 00:00:00 EST 2000}
}