Particle motion and irreversibility of turbulent flows

  • Alain Pumir (Ecole Normale Supérieure de Lyon)
A3 01 (Sophus-Lie room)


In three-dimensional turbulent flows, the flux of energy from large to small scales breaks time-reversal symmetry. I will discuss how this irreversibility can be observed by following the trajectories of tracers, moving with the fluid. For the problem of relative particle dispersion, irreversibility implies that particles separate slower forward in time than backward. This property can be understood in terms of an exact relation, established directly from the Navier-Stokes equations. A more surprising observation is that a tracer particle needs more time to build up large kinetic energy, than to dissipate it. This allows us to quantify the irreversibility of the turbulent fluid.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

Upcoming Events of This Seminar

  • 14.05.2024 tba with Barbara Verfürth
  • 14.05.2024 tba with Lisa Hartung
  • 04.06.2024 tba with Vadim Gorin
  • 25.06.2024 tba with Paul Dario
  • 16.07.2024 tba with Michael Loss
  • 20.08.2024 tba with Tomasz Komorowski
  • 03.12.2024 tba with Patricia Gonçalves