Resolving phase transitions with discontinuous Galerkin methods

Autor: Eduardo Grossi, Nicolas Wink
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: SciPost Physics Core, Vol 6, Iss 4, p 071 (2023)
Druh dokumentu: article
ISSN: 2666-9366
DOI: 10.21468/SciPostPhysCore.6.4.071
Popis: 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. In particular, we unravel the mechanism underlying first order phase transitions, based on the formation of a shock in the derivative of the effective potential.
Databáze: Directory of Open Access Journals