### 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 language | English (US) |
---|---|

Pages (from-to) | 2610-2615 |

Number of pages | 6 |

Journal | Journal of Mathematical Physics |

Volume | 43 |

Issue number | 5 |

DOIs | |

State | Published - May 1 2002 |

### Fingerprint

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

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

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 43, no. 5, pp. 2610-2615. https://doi.org/10.1063/1.1465099

}

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 -