Hidden Lagrangian coherence and memory effects in the statistics of Hamiltonian motions

TL;DR

This paper investigates how hidden coherent components in Hamiltonian motions influence tracer statistics, revealing significant modifications in transport and trajectory behaviors in 2D turbulence with an average flow.

Contribution

It uncovers the role of hidden Lagrangian coherence in Hamiltonian systems, demonstrating its impact on turbulence statistics and transport properties.

Findings

Hidden coherent components significantly alter tracer transport.

Average velocity induces strong modifications in trajectory statistics.

Coherent effects are essential for understanding turbulence behavior.

Abstract

This paper is focused on the coherent effects that appear in tracer statistics in two-dimensional incompressible turbulence in the presence of an average velocity. We show that this determines strong modifications of the transport and trajectory statistics, which are essentially caused by hidden coherent components of the motion.