A field theory approach to the evolution of canonical helicity and energy

You, S.

doi:10.1063/1.4956465

Title: A field theory approach to the evolution of canonical helicity and energy

Journal Article · Mon Jul 11 00:00:00 EDT 2016 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4956465· OSTI ID:1467837

You, S. ^[1]

Univ. of Washington, Seattle, WA (United States). William E. Boeing Dept. of Aeronautics and Astronautics

A redefinition of the Lagrangian of a multi-particle system in fields reformulates the single-particle, kinetic, and fluid equations governing fluid and plasma dynamics as a single set of generalized Maxwell's equations and Ohm's law for canonical force-fields. The Lagrangian includes new terms representing the coupling between the motion of particle distributions, between distributions and electromagnetic fields, with relativistic contributions. The formulation shows that the concepts of self-organization and canonical helicity transport are applicable across single-particle, kinetic, and fluid regimes, at classical and relativistic scales. The theory also gives the basis for comparing canonical helicity change to energy change in general systems. For example, in a fixed, isolated system subject to non-conservative forces, a species' canonical helicity changes less than total energy only if gradients in density or distribution function are shallow.

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Research Organization:: Univ. of Washington, Seattle, WA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0010340

OSTI ID:: 1467837

Alternate ID(s):: OSTI ID: 1261217

Journal Information:: Physics of Plasmas, Vol. 23, Issue 7; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 8 works

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An intuitive two-fluid picture of spontaneous 2D collisionless magnetic reconnection and whistler wave generation Yoon, Young Dae; Bellan, Paul M. Physics of Plasmas, Vol. 25, Issue 5 https://doi.org/10.1063/1.5016345	journal	May 2018
The electron canonical battery effect in magnetic reconnection: Completion of the electron canonical vorticity framework Yoon, Young Dae; Bellan, Paul M. Physics of Plasmas, Vol. 26, Issue 10 https://doi.org/10.1063/1.5122225	journal	October 2019
The Mochi LabJet Experiment for Measurements of Canonical Helicity Injection in a Laboratory Astrophysical Jet You, Setthivoine; von der Linden, Jens; Lavine, Eric Sander The Astrophysical Journal Supplement Series, Vol. 236, Issue 2 https://doi.org/10.3847/1538-4365/aaba6f	journal	May 2018
The Mochi.LabJet experiment for measurements of canonical helicity injection in a laboratory astrophysical jet You, Setthivoine; von der Linden, Jens; Lavine, Eric Sander arXiv https://doi.org/10.48550/arxiv.1711.07213	text	January 2017

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Title: A field theory approach to the evolution of canonical helicity and energy

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