Resolving phase transitions with Discontinuous Galerkin methods

Understand

We demonstrate the applicability and advantages of Discontinuous Galerkin (DG) schemes in the context of the Functional Renormalization Group (FRG).

• We investigate the $O(N)$-model in the large $N$ limit.
• It is shown that the flow equation for the effective potential can be cast into a conservative form.
• We discuss results for the Riemann problem, as well as initial conditions leading to a first and second order phase transition.