Abstract
A simple model of gyroscopic-quasielastic fluid behavior in two dimensions is developed in general and is applied, in particular, to a guiding-center plasma under so-called “finite-orbit” conditions. Gyroscopic effects are associated (more or less directly) with a finite angular momentum of gyration, quasielastic effects (more or less indirectly) with differential drifts of guiding centers arising from gradients in the magnetic field. A systematic study is made of transformation properties under so-called “changes of representation”: changes in the definition of what is meant by the “same” fluid element at two successive times, with consequent redefinition of the fluid trajectories. (The requisite condition of invariance under exchange of equivalent elements is presupposed.) It is found that the gyroscopic and quasielastic terms transform covariantly under a change of representation. In particular, by a special choice of the representation, either term can be made to vanish identically.
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