Broken Mirror Symmetry of Tracer’s Trajectories in Turbulence

S. Angriman*, P.J. Cobelli, Mickaël Bourgoin, Sander Gerard Huisman, R. Volk, P.D. Mininni

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

3 Citations (Scopus)
25 Downloads (Pure)


Topological properties of physical systems play a crucial role in our understanding of nature, yet their experimental determination remains elusive. We show that the mean helicity, a dynamical invariant in ideal flows, quantitatively affects trajectories of fluid elements: the linking number of Lagrangian trajectories depends on the mean helicity. Thus, a global topological invariant and a topological number of fluid trajectories become related, and we provide an empirical expression linking them. The relation shows the existence of long-term memory in the trajectories: the links can be made of the trajectory up to a given time, with particles positions in the past. This property also allows experimental measurements of mean helicity.
Original languageEnglish
Pages (from-to)254502
JournalPhysical review letters
Issue number25
Publication statusPublished - 17 Dec 2021


Dive into the research topics of 'Broken Mirror Symmetry of Tracer’s Trajectories in Turbulence'. Together they form a unique fingerprint.

Cite this