Complementary Variational Principles on Electrical Conductivities of a Plasma in a Unifrom Magnetic Field
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概要
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Several functionals, whose Euler-Lagrange equations are the kinetic equationsfor the velocity-distribution functions, are derive<l. The extrcmal values of thesefunctionals are proved to be proportional to the Ohm conductivity o' or to theHall conductivity o". The complementary variational principles for o' and o",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 chargedpositive ions. The results of computations by use of simple trial functions showthat th.e complementary variational principles derived in this paper are veryuseful.
- 社団法人日本物理学会の論文
- 1979-03-15
著者
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KANEKO Shobu
Department of Applied Physics,Faculty of Engineering The University of Tokyo
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Kaneko Shobu
Department Of Applied Physics Faculty Of Engineering The University Of Tokyo
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