# gst: geometric intermittency in turbulence.

<< ️Equal-time scaling exponents in fully developed turbulence typically exhibit non anomalous scaling in the inverse cascade of two-dimensional (2D) turbulence and anomalous scaling in three dimensions. >>

<< ️(AA) have shown that intermittency in turbulence is not exhausted by longitudinal and transverse velocity increments: geometric increments of the velocity field display equally strong, and in some regimes stronger, multiscaling. This reveals a previously hidden intermittency in the 2D inverse cascade and identifies a universal class of geometric scaling exponents. >>

<< ️This, of course, leads to questions of whether long-lived vortical structures play a more significant role in making flows intermittent, especially in 2D, than appreciated hitherto. >>

<< ️(AA) results also suggest that the geometry of turbulent velocity fields plays a fundamental role in cascade dynamics and opens a route to probing intermittency, blind to conventional structure functions, in other flows. >>

Ritwik Mukherjee, Siddhartha Mukherjee, I. V. Kolokolov, et al. Geometric Intermittency in Turbulence. arXiv: 2511.06439v1 [physics.flu-dyn]. Nov 9, 2025.

https://arxiv.org/abs/2511.06439

Also: turbulence, intermittency, in https://www.inkgmr.net/kwrds.html 

Keywords: gst, turbulence, intermittency, cascade dynamics, multiscaling, multiscaling 2D inverse cascade,