{"title":"Current sheet profiles in two-dimensional magnetohydrodynamics","authors":"D. Biskamp","doi":"10.1063/1.860612","DOIUrl":null,"url":null,"abstract":"Numerical simulations of current sheet formation in a two‐dimensional ideal incompressible magnetohydrodynamic system reveal that sheets evolve self‐similarly with cross‐sheet profiles close to j(ψ)∝exp(−2αψ). This current profile has previously been derived by several authors as the most probable state in a current‐carrying plasma. A critical review of the different theoretical approaches is given.","PeriodicalId":113346,"journal":{"name":"Physics of fluids. B, Plasma physics","volume":"45 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1993-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"16","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics of fluids. B, Plasma physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1063/1.860612","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 16
Abstract
Numerical simulations of current sheet formation in a two‐dimensional ideal incompressible magnetohydrodynamic system reveal that sheets evolve self‐similarly with cross‐sheet profiles close to j(ψ)∝exp(−2αψ). This current profile has previously been derived by several authors as the most probable state in a current‐carrying plasma. A critical review of the different theoretical approaches is given.
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