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Internal structures of self-organized relaxed states and self-similar decay phase

Technical Report:

Abstract

A thought analysis on relaxation due to nonlinear processes is presented to lead to a set of general thoughts applicable to general nonlinear dynamical systems for finding out internal structures of the self-organized relaxed state without using `invariant`. Three applications of the set of general thoughts to energy relaxations in resistive MHD plasmas, incompressible viscous fluids, and incompressible viscous MHD fluids are shown to lead to the internal structures of the self-organized relaxed states. It is shown that all of the relaxed states in these three dynamical systems are followed by self-similar decay phase without significant change of the spatial structure. The well known relaxed state of {nabla} x B = {+-}{lambda} B is shown to be derived generally in the low {beta} plasma limit. (author).
Authors:
Kondoh, Yoshiomi [1] 
  1. Gunma Univ., Kiryu (Japan). Faculty of Technology
Publication Date:
Mar 01, 1992
Product Type:
Technical Report
Report Number:
NIFS-141
Reference Number:
SCA: 700370; PA: JPN-92:011233; SN: 93000918638
Resource Relation:
Other Information: PBD: Mar 1992
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; REVERSE-FIELD PINCH; MHD EQUILIBRIUM; MAGNETIC FIELD REVERSAL; MAGNETOHYDRODYNAMICS; FORCE-FREE MAGNETIC FIELDS; RELAXATION; NONLINEAR PROBLEMS; 700370; PLASMA FLUID AND MHD PROPERTIES
OSTI ID:
10111294
Research Organizations:
National Inst. for Fusion Science, Nagoya (Japan)
Country of Origin:
Japan
Language:
English
Other Identifying Numbers:
Other: ON: DE93753312; TRN: JP9211233
Availability:
OSTI; NTIS; INIS
Submitting Site:
JPN
Size:
44 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Kondoh, Yoshiomi. Internal structures of self-organized relaxed states and self-similar decay phase. Japan: N. p., 1992. Web.
Kondoh, Yoshiomi. Internal structures of self-organized relaxed states and self-similar decay phase. Japan.
Kondoh, Yoshiomi. 1992. "Internal structures of self-organized relaxed states and self-similar decay phase." Japan.
@misc{etde_10111294,
title = {Internal structures of self-organized relaxed states and self-similar decay phase}
author = {Kondoh, Yoshiomi}
abstractNote = {A thought analysis on relaxation due to nonlinear processes is presented to lead to a set of general thoughts applicable to general nonlinear dynamical systems for finding out internal structures of the self-organized relaxed state without using `invariant`. Three applications of the set of general thoughts to energy relaxations in resistive MHD plasmas, incompressible viscous fluids, and incompressible viscous MHD fluids are shown to lead to the internal structures of the self-organized relaxed states. It is shown that all of the relaxed states in these three dynamical systems are followed by self-similar decay phase without significant change of the spatial structure. The well known relaxed state of {nabla} x B = {+-}{lambda} B is shown to be derived generally in the low {beta} plasma limit. (author).}
place = {Japan}
year = {1992}
month = {Mar}
}