Non-adiabatic optimal control of plasma cooling

03.04.2025 15:00

Jan Bartsch, University of Würzburg

Abstract:
Adiabatic cooling of nonneutral plasma can be achieved by slowly decreasing the trapping frequency and letting the plasma occupy a larger volume. In this talk, we propose an optimal control strategy for non-adiabatic cooling of plasma trapped in a one-dimensional well that provides a shortcut to adiabaticity. In this approach, the governing model is the Vlasov-Poisson equation and a Tikhonov-type functional has to be minimized subject to this model constraint and the action of a varying trapping frequency. A particle method and a gradient-based technique are developed to solve the resulting kinetic optimal control problem. Results of numerical experiments are presented that successfully validate the proposed optimal cooling framework with comparing it to the adiabatic cooling.

Location:
SR5 (Oskar-Morgenstern-Platz 1, 1st floor)