Investigating the use of field solvers for simulating classical systems

Understand

We explore the use of field solvers as approximations of classical Vlasov-Poisson systems.

• This correspondence is investigated in both electrostatic and gravitational contexts.
• We demonstrate the ability of field solvers to be excellent approximations of problems with cold initial condition into the non linear regime.
• We also investigate extensions of the Schr\"odinger-Poisson system that employ multiple stacked cold streams, and the von Neumann-Poisson equation as methods that can successfully reproduce the classical evolution of warm initial conditions.