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Equilibrium through self-organization and a stability condition derived from generalized self-organization theory

Published online by Cambridge University Press:  20 December 2006

KONDOH YOSHIOMI,
TAKAHASHI TOSHIKI and
JAMES W. VAN DAM
KONDOH YOSHIOMI
Affiliation:
Deptartment of Electronic Engineering, Gunma University, Kiryu, Gunma 376-8515, Japan (kondohy@el.gunma-u.ac.jp)
TAKAHASHI TOSHIKI
Affiliation:
Deptartment of Electronic Engineering, Gunma University, Kiryu, Gunma 376-8515, Japan (kondohy@el.gunma-u.ac.jp)
JAMES W. VAN DAM
Affiliation:
Institute for Fusion Studies, The University of TX at Austin, TX 78712, USA
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Abstract

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The equilibria and stability of the least-dissipated relaxed state are derived from a generalized theory of self-organization for open or closed general nonlinear and dissipative dynamical systems. An application of the general theory is presented for the two-fluid model of plasmas. The concept of selective decay, together with helicity invariance, is analytically shown to have no connection with relaxed states derived from helicity invariance.

Information

Type
Papers
Information
Journal of Plasma Physics , Volume 72 , Issue 6 , December 2006, pp. 901 - 904
Copyright
2006 Cambridge University Press