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:
-
- 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}
}
Web of Science
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Works referencing / citing this record:
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