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

Abstract

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.

Authors:
 [1]
  1. Univ. of Washington, Seattle, WA (United States). William E. Boeing Dept. of Aeronautics and Astronautics
Publication Date:
Research Org.:
Univ. of Washington, Seattle, WA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1467837
Alternate Identifier(s):
OSTI ID: 1261217
Grant/Contract Number:  
SC0010340
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 23; Journal Issue: 7; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; self organized systems; Maxwell equations; Lagrangian mechanics; equations of motion; magnetic fluids; vortex dynamics; enthalpy; fluid equations; magnetohydrodynamic equations; magnetic fields

Citation Formats

You, S. A field theory approach to the evolution of canonical helicity and energy. United States: N. p., 2016. Web. doi:10.1063/1.4956465.
You, S. A field theory approach to the evolution of canonical helicity and energy. United States. https://doi.org/10.1063/1.4956465
You, S. 2016. "A field theory approach to the evolution of canonical helicity and energy". United States. https://doi.org/10.1063/1.4956465. https://www.osti.gov/servlets/purl/1467837.
@article{osti_1467837,
title = {A field theory approach to the evolution of canonical helicity and energy},
author = {You, S.},
abstractNote = {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.},
doi = {10.1063/1.4956465},
url = {https://www.osti.gov/biblio/1467837}, journal = {Physics of Plasmas},
issn = {1070-664X},
number = 7,
volume = 23,
place = {United States},
year = {Mon Jul 11 00:00:00 EDT 2016},
month = {Mon Jul 11 00:00:00 EDT 2016}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 8 works
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Works referenced in this record:

On the origin of cosmic magnetic fields
journal, March 2008


A Baseline Climatology of Sounding-Derived Supercell andTornado Forecast Parameters
journal, December 1998


The degree of knottedness of tangled vortex lines
journal, January 1969


Solving tangle equations arising in a DNA recombination model
journal, January 1999


Modeling the Large‐Scale Structures of Astrophysical Jets in the Magnetically Dominated Limit
journal, May 2006


Temperature-Transformed “Minimal Coupling”: Magnetofluid Unification
journal, January 2003


Evolution of the Leading-Edge Vortex over an Accelerating Rotating Wing
journal, January 2013


Entropy production and plasma relaxation
journal, January 1987


Formation and primary heating of the solar corona: Theory and simulation
journal, January 2001


A two-fluid helicity transport model for flux-rope merging
journal, March 2014


A Maxwell formulation for the equations of a plasma
journal, January 2012


Non-Abelian hydrodynamics and the flow of spin in spin–orbit coupled substances
journal, April 2008


The transport of relative canonical helicity
journal, September 2012


Multi-fluid systems—Multi-Beltrami relaxed states and their implications
journal, September 2015


Conservation of Magnetic Helicity during Plasma Relaxation
journal, April 1995


Relaxation of a Two-Specie Magnetofluid
journal, November 1997


Yang-Mills Magnetofluid Unification
journal, August 2006


Relaxation of a two-species magnetofluid and application to finite-β flowing plasmas
journal, July 1998


Relaxation of Toroidal Plasma and Generation of Reverse Magnetic Fields
journal, November 1974


Works referencing / citing this record:

The Mochi LabJet Experiment for Measurements of Canonical Helicity Injection in a Laboratory Astrophysical Jet
journal, May 2018