A second-order-in-time scheme for the von Neumann equation with singular self-interaction and simulation of the onset of instability

Agissilaos Athanassoulis, Fotini Karakatsani, Irene Kyza

The von Neumann equation with delta self-interaction kernel serves as a statistical model for nonlinear waves, and it exhibits a bifurcation between stable and unstable regimes. In…