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1986•Journal of the Physical Society of JapanRequires access

Intrinsic Dissipative Structure and Magnetohydrodynamic Equilibria

Zensho Yoshida, Nobuyuki Inoue

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Abstract

A mathematical method to analyze the decay of a dissipative dynamical system is developed, which is to study the dissipative structure of the corresponding system. The method is applied to the study of stable equilibria in magnetohydrodynamic (MHD) systems. Special sets of MHD equilibria are characterized as attractors of MHD systems, and they are shown to be classified into four classes, which cover wide range of experimentally observed MHD equilibria.

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What this paper is about

A mathematical method to analyze the decay of a dissipative dynamical system is developed, which is to study the dissipative structure of the corresponding system. The method is applied to the study of stable equilibria in magnetohydrodynamic (MHD) systems. Special sets of MHD equilibria are characterized as attractors of MHD systems, and they are shown to be classified into four classes, which cover wide range of experimentally observed MHD equilibria.

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Available abstract

A mathematical method to analyze the decay of a dissipative dynamical system is developed, which is to study the dissipative structure of the corresponding system. The method is applied to the study of stable equilibria in magnetohydrodynamic (MHD) systems. Special sets of MHD equilibria are characterized as attractors of MHD systems, and they are shown to be classified into four classes, which cover wide range of experimentally observed MHD equilibria.

Key concepts: Dissipative system, Magnetohydrodynamic drive, Magnetohydrodynamics, Physics, Attractor, Dissipative operator, Statistical physics, Classical mechanics

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