Thermodynamic theory of transport in magnetized plasmas
Macroscopic balance equations for plasmas are derived, taking into account the energy of relative diffusion between species. The resulting plasmadynamical equations appear to be more general than the usual ones. The particular features of a two-temperature diffusing plasma are taken into account in deriving the balance equation for the entropy density. The differences between the thermodynamics of neutral fluid mixtures and metals are explained. The general expressions obtained for the entropy production rate are used to derive transport laws. Onsager symmetry relations are applied in a general way to interrelate crossed transport coefficients. Basic transport coefficients are defined. The slight difference which appears between thermo-electric effect and thermo-diffusion is explained. An important "resistive thermo-electric" effect appears which describes crossed transport coefficients between thermal and electric flows. Due to the anisotropy introduced by the magnetic field, the transport coefficients are tensors, with non-diagonal elements associated with the Hall, Nernst and Ettinghausen effects in the plasma. The neo-classical transport laws are discussed. The Ettinghausen effect appears to play an important role in the transport laws for radial electron heat flow and particle flow in confined plasmas.
Bibliographic Reference: Report: EUR-CEA-FC 1357 EN (1990) 320 pp.
Availability: Available from CEA, Département de Recherches sur la Fusion Contrôlée, Saint-Paul-lez-Durance (FR)
Record Number: 199110053 / Last updated on: 1994-12-02
Original language: en
Available languages: en