Equations of plasma transport in a curved magnetic field

This paper investigates the problem of the transport equations of a collisional plasma in a curved magnetic field. The two main approaches to this problem are presented: one is based on use of the Boltzmann equation, and the other on the drift kinetic equation. A multimoment system of transport equations more general than those of Braginskii and Grad is derived within the framework of the first approach. The tensor equations of this system are written in an arbitrary curvilinear coordinate system; this makes it possible to use these equations in problems involving plasma confined in toroidal magnetic configurations. The multimoment system of transport equations is simplified for the case of a strong magnetic field