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  • 标题:Adiabatic evolution of plasma equilibrium
  • 本地全文:下载
  • 作者:H. Grad ; P. N. Hu ; D. C. Stevens
  • 期刊名称:Proceedings of the National Academy of Sciences
  • 印刷版ISSN:0027-8424
  • 电子版ISSN:1091-6490
  • 出版年度:1975
  • 卷号:72
  • 期号:10
  • 页码:3789-3793
  • DOI:10.1073/pnas.72.10.3789
  • 语种:English
  • 出版社:The National Academy of Sciences of the United States of America
  • 摘要:A new theory of plasma equilibrium is introduced in which adiabatic constraints are specified. This leads to a mathematically nonstandard structure, as compared to the usual equilibrium theory, in which prescription of pressure and current profiles leads to an elliptic partial differential equation. Topologically complex configurations require further generalization of the concept of adiabaticity to allow irreversible mixing of plasma and magnetic flux among islands. Matching conditions across a boundary layer at the separatrix are obtained from appropriate conservation laws. Applications are made to configurations with planned islands (as in Doublet) and accidental islands (as in Tokamaks). Two-dimensional, axially symmetric, helically symmetric, and closed line equilibria are included.
  • 关键词:bifurcation ; islation ; weak solution ; generalized differential equation ; Tokamak
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