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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 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. William E. Boeing Department of Aeronautics and Astronautics, University of Washington, Seattle, Washington 98195 (United States)
Publication Date:
OSTI Identifier:
22600039
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 23; Journal Issue: 7; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; COMPARATIVE EVALUATIONS; DENSITY; DISTRIBUTION; DISTRIBUTION FUNCTIONS; ELECTROMAGNETIC FIELDS; EQUATIONS; FIELD THEORIES; FLUID MECHANICS; HELICITY; LAGRANGIAN FUNCTION; PARTICLES; PLASMA; RELATIVISTIC RANGE; TRANSPORT THEORY

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. 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.
@article{osti_22600039,
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 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
}
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