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Broken Mirror Symmetry of Tracer's Trajectories in Turbulence.

Broken Mirror Symmetry of Tracer's Trajectories in Turbulence.

Authors :
Angriman, S.
Cobelli, P. J.
Bourgoin, M.
Huisman, S. G.
Volk, R.
Mininni, P. D.
Source :
Physical Review Letters. 12/17/2021, Vol. 127 Issue 25, p1-1. 1p.
Publication Year :
2021

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00319007
Volume :
127
Issue :
25
Database :
Academic Search Index
Journal :
Physical Review Letters
Publication Type :
Academic Journal
Accession number :
175660722
Full Text :
https://doi.org/10.1103/PhysRevLett.127.254502