ABSTRACT

The most relevant form of anisotropy and inhomogeneity is encountered for plasmas in magnetic or gravitational fields, or combinations of the two. The plasma can be anisotropic but homogeneous, i.e., its properties depend on the selected direction in space, but not on absolute position. More generally, the plasma can be anisotropic as well as inhomogeneous. The analysis of finite temperature effects will be concentrated on the electrostatic modes, which are relatively slow. The notable exception is the Langmuir wave, which can in principle have arbitrarily large phase velocities. This chapter discusses electron plasma waves propagating in cold plasma, which was “embedded” in a strongly magnetized cylindrical wave guide. Many studies of high frequency electrostatic plasma waves are carried out in this configuration, but under conditions where corrections of the dispersion relation due to finite electron temperatures are important.