A new approach to static force-free electromagnetic fields

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In the early 1950s, Lundquist showed the significance of electromagnetic fields with a vanishing Lorentz force density to magnetohydrostatic fluids. Today, these fields are known as force-free electromagnetic fields. Later that decade, Lüst and Schlüter demonstrated that cosmic magnetic fields are force-free and Chandrasekhar and Kendall then constructed a large class of force-free fields whose electric charge density field is also vanishing. In this article, we constructed force-free fields without assuming that the electric charge density vanishes, and in some cases we established a connection between force-free fields and nonlinear Schrödinger equations.

Original languageEnglish (US)
Pages (from-to)2610-2615
Number of pages6
JournalJournal of Mathematical Physics
Volume43
Issue number5
DOIs
StatePublished - May 1 2002

Fingerprint

Electromagnetic Fields
electromagnetic fields
electric charge
magnetohydrostatics
force-free magnetic fields
Lorentz force
Charge
nonlinear equations
fluids
Vanish
Electric Field
Nonlinear Equations
Magnetic Field
Fluid

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

A new approach to static force-free electromagnetic fields. / Willis, Barton L.

In: Journal of Mathematical Physics, Vol. 43, No. 5, 01.05.2002, p. 2610-2615.

Research output: Contribution to journalArticle

@article{8648a53164f149718f2e6ed8720edd5f,
title = "A new approach to static force-free electromagnetic fields",
abstract = "In the early 1950s, Lundquist showed the significance of electromagnetic fields with a vanishing Lorentz force density to magnetohydrostatic fluids. Today, these fields are known as force-free electromagnetic fields. Later that decade, L{\"u}st and Schl{\"u}ter demonstrated that cosmic magnetic fields are force-free and Chandrasekhar and Kendall then constructed a large class of force-free fields whose electric charge density field is also vanishing. In this article, we constructed force-free fields without assuming that the electric charge density vanishes, and in some cases we established a connection between force-free fields and nonlinear Schr{\"o}dinger equations.",
author = "Willis, {Barton L.}",
year = "2002",
month = "5",
day = "1",
doi = "10.1063/1.1465099",
language = "English (US)",
volume = "43",
pages = "2610--2615",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "American Institute of Physics Publising LLC",
number = "5",

}

TY - JOUR

T1 - A new approach to static force-free electromagnetic fields

AU - Willis, Barton L.

PY - 2002/5/1

Y1 - 2002/5/1

N2 - In the early 1950s, Lundquist showed the significance of electromagnetic fields with a vanishing Lorentz force density to magnetohydrostatic fluids. Today, these fields are known as force-free electromagnetic fields. Later that decade, Lüst and Schlüter demonstrated that cosmic magnetic fields are force-free and Chandrasekhar and Kendall then constructed a large class of force-free fields whose electric charge density field is also vanishing. In this article, we constructed force-free fields without assuming that the electric charge density vanishes, and in some cases we established a connection between force-free fields and nonlinear Schrödinger equations.

AB - In the early 1950s, Lundquist showed the significance of electromagnetic fields with a vanishing Lorentz force density to magnetohydrostatic fluids. Today, these fields are known as force-free electromagnetic fields. Later that decade, Lüst and Schlüter demonstrated that cosmic magnetic fields are force-free and Chandrasekhar and Kendall then constructed a large class of force-free fields whose electric charge density field is also vanishing. In this article, we constructed force-free fields without assuming that the electric charge density vanishes, and in some cases we established a connection between force-free fields and nonlinear Schrödinger equations.

UR - http://www.scopus.com/inward/record.url?scp=0035981816&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035981816&partnerID=8YFLogxK

U2 - 10.1063/1.1465099

DO - 10.1063/1.1465099

M3 - Article

AN - SCOPUS:0035981816

VL - 43

SP - 2610

EP - 2615

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 5

ER -