A structure-preserving particle discretisation for the Lenard-Bernstein collision operator
Collisions are an important dissipation mechanism in plasmas. In one-dimensional modelling, a commonly used collision operator is the Lenard-Bernstein operator, or its modified energy- and momentum-conserving counterpart. When approximating such operators numerically, it is important to respect thei...
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| creator | Jeyakumar, Sandra Kraus, Michael Hole, Matthew Pfefferlé, David |
| description | Collisions are an important dissipation mechanism in plasmas. In
one-dimensional modelling, a commonly used collision operator is the
Lenard-Bernstein operator, or its modified energy- and momentum-conserving
counterpart. When approximating such operators numerically, it is important to
respect their structure in order to satisfy the laws of thermodynamics. It is,
however, challenging to discretise such operators in a structure-preserving way
when considering particle methods. In this work, we present a macro-particle
discretisation of the Lenard-Bernstein collision operator that is energy and
momentum preserving. |
| doi_str_mv | 10.48550/arxiv.2309.16894 |
| format | Article |
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one-dimensional modelling, a commonly used collision operator is the
Lenard-Bernstein operator, or its modified energy- and momentum-conserving
counterpart. When approximating such operators numerically, it is important to
respect their structure in order to satisfy the laws of thermodynamics. It is,
however, challenging to discretise such operators in a structure-preserving way
when considering particle methods. In this work, we present a macro-particle
discretisation of the Lenard-Bernstein collision operator that is energy and
momentum preserving.</description><identifier>DOI: 10.48550/arxiv.2309.16894</identifier><language>eng</language><subject>Physics - Computational Physics ; Physics - Plasma Physics</subject><creationdate>2023-09</creationdate><rights>http://creativecommons.org/licenses/by/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2309.16894$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2309.16894$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Jeyakumar, Sandra</creatorcontrib><creatorcontrib>Kraus, Michael</creatorcontrib><creatorcontrib>Hole, Matthew</creatorcontrib><creatorcontrib>Pfefferlé, David</creatorcontrib><title>A structure-preserving particle discretisation for the Lenard-Bernstein collision operator</title><description>Collisions are an important dissipation mechanism in plasmas. In
one-dimensional modelling, a commonly used collision operator is the
Lenard-Bernstein operator, or its modified energy- and momentum-conserving
counterpart. When approximating such operators numerically, it is important to
respect their structure in order to satisfy the laws of thermodynamics. It is,
however, challenging to discretise such operators in a structure-preserving way
when considering particle methods. In this work, we present a macro-particle
discretisation of the Lenard-Bernstein collision operator that is energy and
momentum preserving.</description><subject>Physics - Computational Physics</subject><subject>Physics - Plasma Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNqFzrEOgjAQgOEuDkZ9ACf6AiAIGBjVaBwcnVxIUw69pLbN9SD69gbi7vQv__AJsc7SpKjKMt0oeuOQbPO0TrJdVRdzcd_LwNRr7gliTxCABrQP6RUxagOyxaAJGINidFZ2jiQ_QV7BKmrjA5ANDGildsZgGBfngRQ7WopZp0yA1a8LEZ1Pt-MlnhSNJ3wp-jSjppk0-f_jC3HfQdY</recordid><startdate>20230928</startdate><enddate>20230928</enddate><creator>Jeyakumar, Sandra</creator><creator>Kraus, Michael</creator><creator>Hole, Matthew</creator><creator>Pfefferlé, David</creator><scope>GOX</scope></search><sort><creationdate>20230928</creationdate><title>A structure-preserving particle discretisation for the Lenard-Bernstein collision operator</title><author>Jeyakumar, Sandra ; Kraus, Michael ; Hole, Matthew ; Pfefferlé, David</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_2309_168943</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Physics - Computational Physics</topic><topic>Physics - Plasma Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Jeyakumar, Sandra</creatorcontrib><creatorcontrib>Kraus, Michael</creatorcontrib><creatorcontrib>Hole, Matthew</creatorcontrib><creatorcontrib>Pfefferlé, David</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Jeyakumar, Sandra</au><au>Kraus, Michael</au><au>Hole, Matthew</au><au>Pfefferlé, David</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A structure-preserving particle discretisation for the Lenard-Bernstein collision operator</atitle><date>2023-09-28</date><risdate>2023</risdate><abstract>Collisions are an important dissipation mechanism in plasmas. In
one-dimensional modelling, a commonly used collision operator is the
Lenard-Bernstein operator, or its modified energy- and momentum-conserving
counterpart. When approximating such operators numerically, it is important to
respect their structure in order to satisfy the laws of thermodynamics. It is,
however, challenging to discretise such operators in a structure-preserving way
when considering particle methods. In this work, we present a macro-particle
discretisation of the Lenard-Bernstein collision operator that is energy and
momentum preserving.</abstract><doi>10.48550/arxiv.2309.16894</doi><oa>free_for_read</oa></addata></record> |
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| title | A structure-preserving particle discretisation for the Lenard-Bernstein collision operator |
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