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Title: Multi-region relaxed Hall magnetohydrodynamics with flow

Abstract

The recent formulations of multi-region relaxed magnetohydrodynamics (MRxMHD) have generalized the famous Woltjer-Taylor states by incorporating a collection of “ideal barriers” that prevent global relaxation and flow. In this paper, we generalize MRxMHD with flow to include Hall effects, and thereby obtain the partially relaxed counterparts of the famous double Beltrami states as a special subset. The physical and mathematical consequences arising from the introduction of the Hall term are also presented. We demonstrate that our results (in the ideal MHD limit) constitute an important subset of ideal MHD equilibria, and we compare our approach against other variational principles proposed for deriving the partially relaxed states.

Authors:
 [1]; ORCiD logo [2];  [3]
  1. Princeton Univ., NJ (United States). Dept. of Astrophysical Sciences
  2. Univ. of Tokyo (Japan). Graduate School of Frontier Sciences; Mansoura Univ. (Egypt). Physics Dept.
  3. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Publication Date:
Research Org.:
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1332513
Alternate Identifier(s):
OSTI ID: 1281331
Grant/Contract Number:  
AGS-1338944; AC02-09CH11466; AC02-09CH-11466
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 23; Journal Issue: 8; 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

Citation Formats

Lingam, Manasvi, Abdelhamid, Hamdi M., and Hudson, Stuart R. Multi-region relaxed Hall magnetohydrodynamics with flow. United States: N. p., 2016. Web. doi:10.1063/1.4960128.
Lingam, Manasvi, Abdelhamid, Hamdi M., & Hudson, Stuart R. Multi-region relaxed Hall magnetohydrodynamics with flow. United States. doi:10.1063/1.4960128.
Lingam, Manasvi, Abdelhamid, Hamdi M., and Hudson, Stuart R. Wed . "Multi-region relaxed Hall magnetohydrodynamics with flow". United States. doi:10.1063/1.4960128. https://www.osti.gov/servlets/purl/1332513.
@article{osti_1332513,
title = {Multi-region relaxed Hall magnetohydrodynamics with flow},
author = {Lingam, Manasvi and Abdelhamid, Hamdi M. and Hudson, Stuart R.},
abstractNote = {The recent formulations of multi-region relaxed magnetohydrodynamics (MRxMHD) have generalized the famous Woltjer-Taylor states by incorporating a collection of “ideal barriers” that prevent global relaxation and flow. In this paper, we generalize MRxMHD with flow to include Hall effects, and thereby obtain the partially relaxed counterparts of the famous double Beltrami states as a special subset. The physical and mathematical consequences arising from the introduction of the Hall term are also presented. We demonstrate that our results (in the ideal MHD limit) constitute an important subset of ideal MHD equilibria, and we compare our approach against other variational principles proposed for deriving the partially relaxed states.},
doi = {10.1063/1.4960128},
journal = {Physics of Plasmas},
number = 8,
volume = 23,
place = {United States},
year = {Wed Aug 03 00:00:00 EDT 2016},
month = {Wed Aug 03 00:00:00 EDT 2016}
}

Journal Article:
Free Publicly Available Full Text
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