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

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:
Grant/Contract Number:
SC0010340
Type:
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)
Research Org:
Univ. of Washington, Seattle, WA (United States)
Sponsoring Org:
USDOE
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
OSTI Identifier:
1467837
Alternate Identifier(s):
OSTI ID: 1261217

You, S. A field theory approach to the evolution of canonical helicity and energy. United States: N. p., Web. doi:10.1063/1.4956465.
You, S. A field theory approach to the evolution of canonical helicity and energy. United States. doi:10.1063/1.4956465.
You, S. 2016. "A field theory approach to the evolution of canonical helicity and energy". United States. doi: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},
journal = {Physics of Plasmas},
number = 7,
volume = 23,
place = {United States},
year = {2016},
month = {7}
}