A field theory approach to the evolution of canonical helicity and energy
A redefinition of the Lagrangian of a multiparticle system in fields reformulates the singleparticle, kinetic, and fluid equations governing fluid and plasma dynamics as a single set of generalized Maxwell's equations and Ohm's law for canonical forcefields. 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 selforganization and canonical helicity transport are applicable across singleparticle, 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 nonconservative forces, a species' canonical helicity changes less than total energy only if gradients in density or distribution function are shallow.
 Authors:

^{[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 1070664X
 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 multiparticle system in fields reformulates the singleparticle, kinetic, and fluid equations governing fluid and plasma dynamics as a single set of generalized Maxwell's equations and Ohm's law for canonical forcefields. 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 selforganization and canonical helicity transport are applicable across singleparticle, 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 nonconservative 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}
}