Journal of Modern Physics

Volume 1, Issue 5 (November 2010)

ISSN Print: 2153-1196   ISSN Online: 2153-120X

Google-based Impact Factor: 0.86  Citations  h5-index & Ranking

Slow Plasma Dynamo Driven by Electric Current Helicity in Non-Compact Riemann Surfaces of Negative Curvature

HTML  Download Download as PDF (Size: 101KB)  PP. 324-327  
DOI: 10.4236/jmp.2010.15046    5,104 Downloads   9,098 Views  

Affiliation(s)

.

ABSTRACT

Boozer addressed the role of magnetic helicity in dynamos [1]. He pointed out that the magnetic helicity conservation implies that the dynamo action is more easily attainable if the electric potential varies over the surface of the dynamo. This provided motivated us to investigate dynamos in Riemannian curved surfaces [2]. Thiffeault and Boozer [3] discussed the onset of dissipation in kinematic dynamos. In this paper, when curvature is constant and negative, a simple laminar dynamo solution is obtained on the flow topology of a Poincare disk, whose Gauss curvature is K = –1. By considering a laminar plasma dynamo [4] the electric current helicity λ ≈ 2.34 m–1 for a Reynolds magnetic number of Rm ≈ 210 and a growth rate of magnetic field |γ| ≈ 0.022 are obtained. Negative constant curvature non-compact H2 manifold, has also been used in onecomponent electron 2D plasma by Fantoni and Tellez [5]. Chicone et al. (CMP (1997)) showed fast dynamos can be supported in compact H2. PACS: 47.65.Md.

KEYWORDS

Share and Cite:

L. Andrade, "Slow Plasma Dynamo Driven by Electric Current Helicity in Non-Compact Riemann Surfaces of Negative Curvature," Journal of Modern Physics, Vol. 1 No. 5, 2010, pp. 324-327. doi: 10.4236/jmp.2010.15046.

Cited by

No relevant information.

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.