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Classical Transport in a Plasma

B. Weyssow

Fusion Science and Technology

Volume 53 / Number 2T / February 2008 / Pages 307-313


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An ideal plasma of electrons and a single species of ions in the low collisionality limit subject to an almost straight magnetic field is considered. In such conditions, the linear theory of transport determines the 3 × 1 matrix of dissipative fluxes [hat]Jr namely, the electric current, the electronic heat flux and the ionic heat flux, in terms of a 3 × 1 matrix of thermodynamic forces [hat]X combining the electric field with the gradients of the densities and of the temperatures. The classical transport coefficients are the components of the 3 × 3 matrix of tensors [hat]Lrs of the linear flux-force relations [hat]Jr = [summation]s=19 [hat]Lrs[hat]X. The theory is developed in the framework of the statistical mechanics of charged particles starting from the Landau kinetic equation.

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