Average β Value of Axially Symmetric Plasma

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概要

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• A useful expression for an average β value is derived by using the Grad-Shafranov equation. The plasma is assumed to be confined in a finite region and to be in an axially symmetric magnetohydrodynamic equilibrium. The magnetic flux function ψ is assumed to vanish on the plasma surface. The average beta value <β> is defined by 8π ⎰pdV/⎰B^2dV, where p is the kinetic pressure, B is the strength of the magnetic field, and the integrations are carried out over the whole plasma region. When p is proportional to ψ^α (α is a positive number) and the toroidal magnetic field is absent, the value of <β> is shown to be 2/α. This value is independent of the shape of the plasma.

• 核融合科学研究所の論文

著者

• Kaneko Shobu

  Research Information Center, Institute of Plasma Physics, Nagoya University

• Chiyoda Katsuji

  Research Information Center Institute Of Plasma Physics Nagoya University:electrotechnical Laborator

• Kaneko Shobu

  Research Information Center Institute Of Plasma Physics Nagoya University:department Of Applied Phys

関連論文

• Thermal Conductivities and Coefficients of Thermal Diffusion of a High-Temperature Plasma in a Uniform Magnetic Field
• Magnetohydrodynamic Stability of Spheromak Plasma in Toroidal Flux Conserver with Rectangular Cross Section
• Average β Value of Axially Symmetric Plasma
• Complementary Variational Principles on Electrical Conductivities of a Plasma in a Uniform Magnetic Field

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