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Broken Mirror Symmetry of Tracer's Trajectories in Turbulence.
Broken Mirror Symmetry of Tracer's Trajectories in Turbulence.
- 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