Sawtooth oscillations in a damped/driven cryogenic electron plasma: Experiment and theory

B. P. Cluggish, C. F. Driscoll, K. Avinash, J. A. Helffrich
1997 Physics of Plasmas  
Measurements have been made of nonlinear sawtooth oscillations of the displacement of a magnetized electron column in a cryogenic, cylindrical trap. First reported 7 years ago, these oscillations occur when the displacement is destabilized by a resistive wall and damped by a temperature-dependent collisional viscosity. A typical evolution can last for thousands of seconds. Measurements show that oscillations of the plasma displacement are accompanied by oscillations in the plasma temperature. A
more » ... asma temperature. A simple predator-and-prey model of the temperature and displacement gives rise to a limit cycle solution due to the nonmonotonic dependence of the viscosity on temperature. These limit cycles are in good quantitative agreement with the measured sawtooth oscillations.
doi:10.1063/1.872372 fatcat:6md7dfyu7ngzhen6de7ekvjjky