The relaxed state and entropy production due to the electric resistivity and viscosity of plasma

Physics – Plasma Physics

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Entropy, Magnetic Field Configurations, Minimum Entropy Method, Plasma Conductivity, Plasma Pinch, Viscosity, Electromagnetic Fields, Electron Diffusion, Ion Motion, Plasma Currents

Scientific paper

The derivation of the relaxed state in reversed field pinch using the principle of the minimum entropy production is given. A sum of the entropy productions due to the electric resistivity and due to the viscosity of the plasma is considered. As the subsidiary conditions for the variational calculus, the helicity K and cross helicity M are taken. The F-theta curves obtained from these magnetic fields show slower decreasing functions of theta, compared with the Bessel function model. The gradient of these curves depend on the boundary values of velocity. Good agreement is obtained, provided a finite tangential relative velocity at the wall is assumed. The obtained magnetic field is expressed by a linear combination of solutions of the generalized force free equations with complex proportional constants beta, and its line of force B and current J are not exactly parallel to one another.

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