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Title: Action principle for Coulomb collisions in plasmas

In this study, an action principle for Coulomb collisions in plasmas is proposed. Although no natural Lagrangian exists for the Landau-Fokker-Planck equation, an Eulerian variational formulation is found considering the system of partial differential equations that couple the distribution function and the Rosenbluth-MacDonald-Judd potentials. Conservation laws are derived after generalizing the energy-momentum stress tensor for second order Lagrangians and, in the case of a test-particle population in a given plasma background, the action principle is shown to correspond to the Langevin equation for individual particles.
Authors:
 [1]
  1. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Publication Date:
Report Number(s):
5259
Journal ID: ISSN 1070-664X; PHPAEN
Grant/Contract Number:
AC02-09CH11466
Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 23; Journal Issue: 9; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Research Org:
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Langrangian mechanics; conservation laws; partial differential equations; Langevin equation; plasma collisions
OSTI Identifier:
1328855
Alternate Identifier(s):
OSTI ID: 1324488

Hirvijoki, Eero. Action principle for Coulomb collisions in plasmas. United States: N. p., Web. doi:10.1063/1.4962506.
Hirvijoki, Eero. Action principle for Coulomb collisions in plasmas. United States. doi:10.1063/1.4962506.
Hirvijoki, Eero. 2016. "Action principle for Coulomb collisions in plasmas". United States. doi:10.1063/1.4962506. https://www.osti.gov/servlets/purl/1328855.
@article{osti_1328855,
title = {Action principle for Coulomb collisions in plasmas},
author = {Hirvijoki, Eero},
abstractNote = {In this study, an action principle for Coulomb collisions in plasmas is proposed. Although no natural Lagrangian exists for the Landau-Fokker-Planck equation, an Eulerian variational formulation is found considering the system of partial differential equations that couple the distribution function and the Rosenbluth-MacDonald-Judd potentials. Conservation laws are derived after generalizing the energy-momentum stress tensor for second order Lagrangians and, in the case of a test-particle population in a given plasma background, the action principle is shown to correspond to the Langevin equation for individual particles.},
doi = {10.1063/1.4962506},
journal = {Physics of Plasmas},
number = 9,
volume = 23,
place = {United States},
year = {2016},
month = {9}
}