Anomalous scaling at non-thermal fixed points of Burgers' and Gross-Pitaevskii turbulence

Understand

Scaling in the dynamical properties of complex many-body systems has been of strong interest since turbulence phenomena became the subject of systematic mathematical studies.

• In this article, dynamical critical phenomena far from equilibrium are investigated with functional renormalisation group equations.
• The focus is set on scaling solutions of the stochastic driven-dissipative Burgers equation and their relation to solutions known in the literature for Burgers and Kardar-Parisi-Zhang dynamics.
• We furthermore relate superfluid as well as acoustic turbulence described by the Gross-Pitaevskii model to known analytic and numerical results for scaling solutions.