Search for conformal invariance in compressible two-dimensional turbulence
arXiv:1106.2147 · doi:10.1063/1.3645614
Abstract
We present a search for conformal invariance in vorticity isolines of two-dimensional compressible turbulence. The vorticity is measured by tracking the motion of particles that float at the surface of a turbulent tank of water. The three-dimensional turbulence in the tank has a Taylor microscale . The conformal invariance theory being tested here is related to the behavior of equilibrium systems near a critical point. This theory is associated with the work of Löwner, Schramm and others and is usually referred to as Schramm-Löwner Evolution (SLE). The system was exposed to several tests of SLE. The results of these tests suggest that zero-vorticity isolines exhibit noticeable departures from this type of conformal invariance.
References in corpus (6)
- Conformal invariance in two-dimensional turbulence
- A Guide to Stochastic Loewner Evolution and its Applications
- Computing the Loewner driving process of random curves in the half plane
- Numerical computations for the Schramm-Loewner Evolution
- Test of the Fluctuation Relation in lagrangian turbulence on a free surface
- Time-Evolution of a Fractal Distribution: Particle Concentrations in Free-Surface Turbulence