Variational formulation of relaxed and multi-region relaxed magnetohydrodynamics
Ideal magnetohydrodynamics (IMHD) is strongly constrained by an infinite number of microscopic constraints expressing mass, entropy and magnetic flux conservation in each infinitesimal fluid element, the latter preventing magnetic reconnection. By contrast, in the Taylor relaxation model for formati...
Gespeichert in:
Veröffentlicht in: | Journal of plasma physics 2015-12, Vol.81 (6), Article 515810604 |
---|---|
Hauptverfasser: | , , , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | |
---|---|
container_issue | 6 |
container_start_page | |
container_title | Journal of plasma physics |
container_volume | 81 |
creator | Dewar, R. L. Yoshida, Z. Bhattacharjee, A. Hudson, S. R. |
description | Ideal magnetohydrodynamics (IMHD) is strongly constrained by an infinite number of microscopic constraints expressing mass, entropy and magnetic flux conservation in each infinitesimal fluid element, the latter preventing magnetic reconnection. By contrast, in the Taylor relaxation model for formation of macroscopically self-organized plasma equilibrium states, all these constraints are relaxed save for the global magnetic fluxes and helicity. A Lagrangian variational principle is presented that leads to a new, fully dynamical, relaxed magnetohydrodynamics (RxMHD), such that all static solutions are Taylor states but also allows state with flow. By postulating that some long-lived macroscopic current sheets can act as barriers to relaxation, separating the plasma into multiple relaxation regions, a further generalization, multi-region relaxed magnetohydrodynamics (MRxMHD) is developed. |
doi_str_mv | 10.1017/S0022377815001336 |
format | Article |
fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_1902013448</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><cupid>10_1017_S0022377815001336</cupid><sourcerecordid>1902013448</sourcerecordid><originalsourceid>FETCH-LOGICAL-c383t-b1bf65f0ce059ad8a444e5f8eeb6d77e72fe4527852d0c25b7d20ebd6120fdd73</originalsourceid><addsrcrecordid>eNp1kFtLxDAQhYMouK7-AN8KPlcntyb7KIs3WFDw8lrSZlK7tM2atOD-e1t3BUF8Gma-cw7MIeScwiUFqq6eARjjSmkqASjn2QGZUZEtUqVBHZLZhNOJH5OTGNcAwIGpGXl6M6E2fe070yTOh3ZovrfEuyRgYz7RJqazyXjv6zRgNbEf0Jqqw96_b23wdtuZti7jKTlypol4tp9z8np787K8T1ePdw_L61Vacs37tKCFy6SDEkEujNVGCIHSacQis0qhYg6FZEpLZqFkslCWARY2owyctYrPycUudxP8x4Cxz9d-COMXMacLYGMHQuhRRXeqMvgYA7p8E-rWhG1OIZ-Ky_8UN3r43mPaItS2wl_R_7q-ANH9cQg</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1902013448</pqid></control><display><type>article</type><title>Variational formulation of relaxed and multi-region relaxed magnetohydrodynamics</title><source>Cambridge University Press Journals Complete</source><creator>Dewar, R. L. ; Yoshida, Z. ; Bhattacharjee, A. ; Hudson, S. R.</creator><creatorcontrib>Dewar, R. L. ; Yoshida, Z. ; Bhattacharjee, A. ; Hudson, S. R.</creatorcontrib><description>Ideal magnetohydrodynamics (IMHD) is strongly constrained by an infinite number of microscopic constraints expressing mass, entropy and magnetic flux conservation in each infinitesimal fluid element, the latter preventing magnetic reconnection. By contrast, in the Taylor relaxation model for formation of macroscopically self-organized plasma equilibrium states, all these constraints are relaxed save for the global magnetic fluxes and helicity. A Lagrangian variational principle is presented that leads to a new, fully dynamical, relaxed magnetohydrodynamics (RxMHD), such that all static solutions are Taylor states but also allows state with flow. By postulating that some long-lived macroscopic current sheets can act as barriers to relaxation, separating the plasma into multiple relaxation regions, a further generalization, multi-region relaxed magnetohydrodynamics (MRxMHD) is developed.</description><identifier>ISSN: 0022-3778</identifier><identifier>EISSN: 1469-7807</identifier><identifier>DOI: 10.1017/S0022377815001336</identifier><language>eng</language><publisher>Cambridge, UK: Cambridge University Press</publisher><subject>A Tribute to the Contributions to Plasma Physics of V D Shafranov: 1929-2014 ; Computational fluid dynamics ; Current sheets ; Fluid mechanics ; Helicity ; Magnetic fields ; Magnetic flux ; Magnetohydrodynamics ; Plasma equilibrium ; Plasma physics</subject><ispartof>Journal of plasma physics, 2015-12, Vol.81 (6), Article 515810604</ispartof><rights>Cambridge University Press 2015</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c383t-b1bf65f0ce059ad8a444e5f8eeb6d77e72fe4527852d0c25b7d20ebd6120fdd73</citedby><cites>FETCH-LOGICAL-c383t-b1bf65f0ce059ad8a444e5f8eeb6d77e72fe4527852d0c25b7d20ebd6120fdd73</cites><orcidid>0000-0002-9518-7087</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.cambridge.org/core/product/identifier/S0022377815001336/type/journal_article$$EHTML$$P50$$Gcambridge$$H</linktohtml><link.rule.ids>164,314,780,784,27924,27925,55628</link.rule.ids></links><search><creatorcontrib>Dewar, R. L.</creatorcontrib><creatorcontrib>Yoshida, Z.</creatorcontrib><creatorcontrib>Bhattacharjee, A.</creatorcontrib><creatorcontrib>Hudson, S. R.</creatorcontrib><title>Variational formulation of relaxed and multi-region relaxed magnetohydrodynamics</title><title>Journal of plasma physics</title><addtitle>J. Plasma Phys</addtitle><description>Ideal magnetohydrodynamics (IMHD) is strongly constrained by an infinite number of microscopic constraints expressing mass, entropy and magnetic flux conservation in each infinitesimal fluid element, the latter preventing magnetic reconnection. By contrast, in the Taylor relaxation model for formation of macroscopically self-organized plasma equilibrium states, all these constraints are relaxed save for the global magnetic fluxes and helicity. A Lagrangian variational principle is presented that leads to a new, fully dynamical, relaxed magnetohydrodynamics (RxMHD), such that all static solutions are Taylor states but also allows state with flow. By postulating that some long-lived macroscopic current sheets can act as barriers to relaxation, separating the plasma into multiple relaxation regions, a further generalization, multi-region relaxed magnetohydrodynamics (MRxMHD) is developed.</description><subject>A Tribute to the Contributions to Plasma Physics of V D Shafranov: 1929-2014</subject><subject>Computational fluid dynamics</subject><subject>Current sheets</subject><subject>Fluid mechanics</subject><subject>Helicity</subject><subject>Magnetic fields</subject><subject>Magnetic flux</subject><subject>Magnetohydrodynamics</subject><subject>Plasma equilibrium</subject><subject>Plasma physics</subject><issn>0022-3778</issn><issn>1469-7807</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNp1kFtLxDAQhYMouK7-AN8KPlcntyb7KIs3WFDw8lrSZlK7tM2atOD-e1t3BUF8Gma-cw7MIeScwiUFqq6eARjjSmkqASjn2QGZUZEtUqVBHZLZhNOJH5OTGNcAwIGpGXl6M6E2fe070yTOh3ZovrfEuyRgYz7RJqazyXjv6zRgNbEf0Jqqw96_b23wdtuZti7jKTlypol4tp9z8np787K8T1ePdw_L61Vacs37tKCFy6SDEkEujNVGCIHSacQis0qhYg6FZEpLZqFkslCWARY2owyctYrPycUudxP8x4Cxz9d-COMXMacLYGMHQuhRRXeqMvgYA7p8E-rWhG1OIZ-Ky_8UN3r43mPaItS2wl_R_7q-ANH9cQg</recordid><startdate>20151201</startdate><enddate>20151201</enddate><creator>Dewar, R. L.</creator><creator>Yoshida, Z.</creator><creator>Bhattacharjee, A.</creator><creator>Hudson, S. R.</creator><general>Cambridge University Press</general><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7U5</scope><scope>7XB</scope><scope>88I</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>BKSAR</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>GNUQQ</scope><scope>H8D</scope><scope>HCIFZ</scope><scope>L7M</scope><scope>M2P</scope><scope>P5Z</scope><scope>P62</scope><scope>PCBAR</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>Q9U</scope><orcidid>https://orcid.org/0000-0002-9518-7087</orcidid></search><sort><creationdate>20151201</creationdate><title>Variational formulation of relaxed and multi-region relaxed magnetohydrodynamics</title><author>Dewar, R. L. ; Yoshida, Z. ; Bhattacharjee, A. ; Hudson, S. R.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c383t-b1bf65f0ce059ad8a444e5f8eeb6d77e72fe4527852d0c25b7d20ebd6120fdd73</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>A Tribute to the Contributions to Plasma Physics of V D Shafranov: 1929-2014</topic><topic>Computational fluid dynamics</topic><topic>Current sheets</topic><topic>Fluid mechanics</topic><topic>Helicity</topic><topic>Magnetic fields</topic><topic>Magnetic flux</topic><topic>Magnetohydrodynamics</topic><topic>Plasma equilibrium</topic><topic>Plasma physics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Dewar, R. L.</creatorcontrib><creatorcontrib>Yoshida, Z.</creatorcontrib><creatorcontrib>Bhattacharjee, A.</creatorcontrib><creatorcontrib>Hudson, S. R.</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Science Database (Alumni Edition)</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>Natural Science Collection</collection><collection>Earth, Atmospheric & Aquatic Science Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>ProQuest Central Student</collection><collection>Aerospace Database</collection><collection>SciTech Premium Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Science Database</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Earth, Atmospheric & Aquatic Science Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central Basic</collection><jtitle>Journal of plasma physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Dewar, R. L.</au><au>Yoshida, Z.</au><au>Bhattacharjee, A.</au><au>Hudson, S. R.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Variational formulation of relaxed and multi-region relaxed magnetohydrodynamics</atitle><jtitle>Journal of plasma physics</jtitle><addtitle>J. Plasma Phys</addtitle><date>2015-12-01</date><risdate>2015</risdate><volume>81</volume><issue>6</issue><artnum>515810604</artnum><issn>0022-3778</issn><eissn>1469-7807</eissn><abstract>Ideal magnetohydrodynamics (IMHD) is strongly constrained by an infinite number of microscopic constraints expressing mass, entropy and magnetic flux conservation in each infinitesimal fluid element, the latter preventing magnetic reconnection. By contrast, in the Taylor relaxation model for formation of macroscopically self-organized plasma equilibrium states, all these constraints are relaxed save for the global magnetic fluxes and helicity. A Lagrangian variational principle is presented that leads to a new, fully dynamical, relaxed magnetohydrodynamics (RxMHD), such that all static solutions are Taylor states but also allows state with flow. By postulating that some long-lived macroscopic current sheets can act as barriers to relaxation, separating the plasma into multiple relaxation regions, a further generalization, multi-region relaxed magnetohydrodynamics (MRxMHD) is developed.</abstract><cop>Cambridge, UK</cop><pub>Cambridge University Press</pub><doi>10.1017/S0022377815001336</doi><tpages>22</tpages><orcidid>https://orcid.org/0000-0002-9518-7087</orcidid></addata></record> |
fulltext | fulltext |
identifier | ISSN: 0022-3778 |
ispartof | Journal of plasma physics, 2015-12, Vol.81 (6), Article 515810604 |
issn | 0022-3778 1469-7807 |
language | eng |
recordid | cdi_proquest_journals_1902013448 |
source | Cambridge University Press Journals Complete |
subjects | A Tribute to the Contributions to Plasma Physics of V D Shafranov: 1929-2014 Computational fluid dynamics Current sheets Fluid mechanics Helicity Magnetic fields Magnetic flux Magnetohydrodynamics Plasma equilibrium Plasma physics |
title | Variational formulation of relaxed and multi-region relaxed magnetohydrodynamics |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-25T00%3A35%3A47IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Variational%20formulation%20of%20relaxed%20and%20multi-region%20relaxed%20magnetohydrodynamics&rft.jtitle=Journal%20of%20plasma%20physics&rft.au=Dewar,%20R.%C2%A0L.&rft.date=2015-12-01&rft.volume=81&rft.issue=6&rft.artnum=515810604&rft.issn=0022-3778&rft.eissn=1469-7807&rft_id=info:doi/10.1017/S0022377815001336&rft_dat=%3Cproquest_cross%3E1902013448%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1902013448&rft_id=info:pmid/&rft_cupid=10_1017_S0022377815001336&rfr_iscdi=true |