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  1. D300 大学院環境学研究科
  2. D300a 雑誌掲載論文
  3. 学術雑誌

Nonlocal memory effects of the electromotive force by fluid motion with helicity and two-dimensional periodicity

http://hdl.handle.net/2237/13015
http://hdl.handle.net/2237/13015
771fdac0-51a5-41e0-bb51-67edc02b0585
名前 / ファイル ライセンス アクション
GFDL2008.pdf GFDL2008.pdf (2.5 MB)
Item type 学術雑誌論文 / Journal Article(1)
公開日 2010-03-29
タイトル
タイトル Nonlocal memory effects of the electromotive force by fluid motion with helicity and two-dimensional periodicity
言語 en
著者 Yoshida, Shigeo

× Yoshida, Shigeo

WEKO 33717

en Yoshida, Shigeo

Search repository
アクセス権
アクセス権 open access
アクセス権URI http://purl.org/coar/access_right/c_abf2
キーワード
主題Scheme Other
主題 mean-field dynamo theory
キーワード
主題Scheme Other
主題 α-effect
キーワード
主題Scheme Other
主題 electromotive force
キーワード
主題Scheme Other
主題 magnetic Reynolds number
キーワード
主題Scheme Other
主題 nonlocal memory effect
抄録
内容記述 In mean-field dynamo theory, the electromotive force term hu0 £ B 0i due to small-scale fields connects the small-scale magnetic field with the large-scale field. This term is usually approximated as the α-effect, assumed to be instantaneous in time and local in space. However, the approximation is valid only when the magnetic Reynolds number Rm is much less than unity, and is inappropriate when Rm & 1, which is the condition satisfied in the Earth’s core or solar convection zone. We introduce a function φqr as a nonlocal and non-instantaneous generalization of the usual α-effect and examine its behaviour as a function of Rm in the range 1/64 · Rm · 10 for a kinematic dynamo model. We use the flow of G.O.Roberts (1972), which is steady and has non-zero helicities and two-dimensional periodicity. As a result, we identify three regions in Rm space according to the behaviour of the function φqr: (i) Rm . 1/4, where the function φqr is local and instantaneous and can be approximated by the traditional α and β effects, (ii) 1/4 . Rm . 4, where the deviation from the traditional α and β effects increases and nonlocalness and non-instantaneousness increase, and (iii) Rm & 4, where boundary layers develop fully and nonlocalness and non-instantaneousness are prominent. We show that the nonlocal memory effect for Rm & 4 strongly affects the dynamo action and explains an observed augmentation of the growth rate in the dispersion relation. The results imply that the nonlocal memory effect of the electromotive force should be important in the geodynamo or the solar dynamo.
言語 en
内容記述タイプ Abstract
出版者
言語 en
出版者 Taylor & Francis
言語
言語 eng
資源タイプ
資源タイプresource http://purl.org/coar/resource_type/c_6501
タイプ journal article
出版タイプ
出版タイプ AM
出版タイプResource http://purl.org/coar/version/c_ab4af688f83e57aa
ISSN
収録物識別子タイプ PISSN
収録物識別子 03091929
書誌情報 en : Geophysical and Astrophysical Fluid Dynamics

巻 102, 号 6, p. 601-632, 発行日 2008-12
フォーマット
application/pdf
著者版フラグ
値 author
URI
識別子 http://hdl.handle.net/2237/13015
識別子タイプ HDL
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