TY - JOUR
T1 - Broken Mirror Symmetry of Tracer’s Trajectories in Turbulence
AU - Angriman, S.
AU - Cobelli, P.J.
AU - Bourgoin, Mickaël
AU - Huisman, Sander Gerard
AU - Volk, R.
AU - Mininni, P.D.
N1 - Funding Information:
This work was partially supported by the ECOS Project No. A18ST04. S. A., P. J. C., and P. D. M. acknowledge support from Grants Proyectos de Investigación Científica y Tecnológica No. 2015-3530 and No. 2018-4298, and UBACyT No. 20020170100508. M. B., S. G. H., and R. V. acknowledge support from European Project EuHIT (European High-Performance Infrastructures in Turbulence, Grant No. 312778), and ANR-13-BS09-0009. Computational resources were provided by the HPC center DIRAC, funded by Instituto de Fisica de Buenos Aires (UBA-CONICET) and the Sistema Nacional de Computación de Alto Desempeño - Ministerio de Ciencia, Tecnología e Innovación (Argentina) initiative.
Publisher Copyright:
© 2021 American Physical Society.
PY - 2021/12/17
Y1 - 2021/12/17
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85122449402&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.127.254502
DO - 10.1103/PhysRevLett.127.254502
M3 - Article
VL - 127
SP - 254502
JO - Physical review letters
JF - Physical review letters
SN - 0031-9007
IS - 25
ER -