skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Hamiltonian structure of the guiding center plasma model

Abstract

The guiding center plasma model (also known as kinetic MHD) is a rigorous sub-cyclotron-frequency closure of the Vlasov-Maxwell system. While the model has been known for decades and it plays a fundamental role in describing the physics of strongly magnetized collisionless plasmas, its Hamiltonian structure has never been found. We provide explicit expressions for the model's Poisson bracket and Hamiltonian and thereby prove that the model is an infinite-dimensional Hamiltonian system. The bracket is derived in a manner which ensures that it satisfies the Jacobi identity. We also report on several previously unknown circulation theorems satisfied by the guiding center plasma model. Without knowledge of the Hamiltonian structure, these circulation theorems would be difficult to guess.

Authors:
ORCiD logo [1];  [1]
  1. Courant Institute of Mathematical Sciences, New York, New York 10012, USA
Publication Date:
Research Org.:
New York Univ. (NYU), NY (United States); Oak Ridge Associated Univ., Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1540153
Grant/Contract Number:  
FG02-86ER53223; AC05-06OR23100
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 25; Journal Issue: 2; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
Physics

Citation Formats

Burby, J. W., and Sengupta, W. Hamiltonian structure of the guiding center plasma model. United States: N. p., 2018. Web. doi:10.1063/1.5016453.
Burby, J. W., & Sengupta, W. Hamiltonian structure of the guiding center plasma model. United States. doi:10.1063/1.5016453.
Burby, J. W., and Sengupta, W. Thu . "Hamiltonian structure of the guiding center plasma model". United States. doi:10.1063/1.5016453. https://www.osti.gov/servlets/purl/1540153.
@article{osti_1540153,
title = {Hamiltonian structure of the guiding center plasma model},
author = {Burby, J. W. and Sengupta, W.},
abstractNote = {The guiding center plasma model (also known as kinetic MHD) is a rigorous sub-cyclotron-frequency closure of the Vlasov-Maxwell system. While the model has been known for decades and it plays a fundamental role in describing the physics of strongly magnetized collisionless plasmas, its Hamiltonian structure has never been found. We provide explicit expressions for the model's Poisson bracket and Hamiltonian and thereby prove that the model is an infinite-dimensional Hamiltonian system. The bracket is derived in a manner which ensures that it satisfies the Jacobi identity. We also report on several previously unknown circulation theorems satisfied by the guiding center plasma model. Without knowledge of the Hamiltonian structure, these circulation theorems would be difficult to guess.},
doi = {10.1063/1.5016453},
journal = {Physics of Plasmas},
number = 2,
volume = 25,
place = {United States},
year = {2018},
month = {2}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

Save / Share: