Variational Formulations for Electromagnetic Field and Charged-Particle Stream Configurations and Their Linearization
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Two variational formulations for electromagnetic field and charged-particle stream configurations, in which both field and particles are described by the field-like variables suited for the problems of electrodynamics, are presented. One of them is directly obtained through slight modifications of Sturrock's original procedure but has a complicated form. The other is obtained through linearization of the preceding one and has a compact form. Both formulations lend themselves to straightforward derivation of the well-known energy-momentum tensor and/or its conservation law. Specifically the latter one is of academic interest because of its compact form. Moreover, as a proof of its practical usefulness the variational principle under the small-amplitude approximation is derived from it, which is known to provide a basis for the study of certain types of instability in plasmas. It is, however, hoped that it will find main applications in the electrodynamics problems concerned with large-amplitude behavior.
収録刊行物
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- Memoirs of the School of Engineering, Okayama University
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Memoirs of the School of Engineering, Okayama University 15 (1), 79-100, 1980-11-29
岡山大学工学部
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詳細情報 詳細情報について
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- CRID
- 1390572174501652096
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- NII論文ID
- 120002307937
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- NII書誌ID
- AA00733903
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- ISSN
- 04750071
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- DOI
- 10.18926/15761
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- IRDB
- CiNii Articles