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Title: Variational formulation of macro-particle plasma simulation algorithms

A variation formulation of macro-particle kinetic plasma models is discussed. In the electrostatic case, the use of symplectic integrators is investigated and found to offer advantages over typical generic methods. For the electromagnetic case, gauge invariance and momentum conservation are considered in detail. It is shown that, while the symmetries responsible for these conservation laws are broken in the presence of a spatial grid, the conservation laws hold in an average sense. The requirements for exact invariance are explored and it is shown that one viable option is to represent the potentials with a truncated Fourier basis.
Authors:
;  [1] ;  [2]
  1. Department of Physics and Astronomy, University of Nebraska-Lincoln, Nebraska 68588-0111 (United States)
  2. FAR-TECH, Inc., 10350 Science Center Drive, Bldg. 14, Suite 150, San Diego, California 92121 (United States)
Publication Date:
OSTI Identifier:
22252829
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 21; Journal Issue: 5; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ALGORITHMS; CONSERVATION LAWS; GAUGE INVARIANCE; PLASMA; PLASMA SIMULATION; SYMMETRY; VARIATIONAL METHODS