Cooling of non-neutral plasma by energy exchange

Crystallization of beams and non neutral plasmas is a fundamental process. A factor limiting the cooling of beams and non neutral plasmas is the energy exchange between the different degrees of freedom. To understand this problem, we study the crystallization of a strongly magnetized, non neutral plasma, where the exchange between perpendicular and parallel energy is small (in the limit of gyroradius small compared to Debye length). We introduce a microwave bath to transfer energy from the poorly cooled parallel degree of freedom to the well cooled (by synchrotron radiation) perpendicular degree of freedom. Results for the cooling of the parallel degree of freedom will be presented