Complementary Variational Principles on Electrical Conductivities of a Plasma in a Uniform Magnetic Field

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概要

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• Several functionals, whose Euler-Lagrange equations are the kinetic equations for the velocity-distribution functions, are derived. The extremal values of these functionals are proved to be proportional to the Ohm conductivity σ^I or to the Hall conductivity σ^II. The complementary variational principles for σ^I and σ^II, which give both lower and upper bounds, are derived by use of these functionals. These principles are applied to a plasma composed of electrons and singly charged positive ions. The results of computations by use of simple trial functions show that the complementary variational principles derived in this paper are very useful.

• 核融合科学研究所の論文

著者

• Kaneko Shobu

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

• 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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