Relabeling symmetry in relativistic fluids and plasmas

• Kawazura Yohei

  Graduate School of Frontier Sciences, University of Tokyo

• Yoshida Zensho

  Graduate School of Frontier Sciences, University of Tokyo

• Yasuhide Fukumoto

  Institute of Mathematics for Industry Kyushu University

Bibliographic Information

Other Title

• 相対論的流体/プラズマにおけるリラベリング対称性

Abstract

The conservation of the recently formulated relativistic helicity is derived from Noether’s theorem with the relabeling symmetry pertinent to the Lagrangian label of fluid elements. Upon Eulerianizing the Noether current, the purely spatial volume integral on the Lagrangian coordinates is mapped to a space-time mixed three-dimensional integral on the four-dimensional Eulerian coordinates. The relativistic conservation law in the Eulerian coordinates is no longer represented by any divergence-free current. We have also formulated a relativistic action principle of magnetohydrodynamics (MHD) on the Lagrangian coordinates, and have derived the relativistic MHD cross helicity.

Journal

• NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan

  NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan 63 (0), 66-, 2014

  National Committee for IUTAM

Keywords

• relativistic plasma
• relativistic helicity
• relabeling symmetry
• Noether's theorem

Details

• CRID: 1390001205592341248
• NII Article ID: 130005478019
• DOI: 10.11345/japannctam.63.0_66
• Text Lang: ja
• Data Source:
  • JaLC
  • CiNii Articles
• Abstract License Flag: Disallowed