https://doi.org/10.1140/epjst/e2007-00157-0
Nodal lines in turbulence
Physics of Complex Systems, Weizmann Institute of Science, Rehovot, 76100, Israel
Corresponding author: gregory.falkovich@weizmann.ac.il
The statistics of the nodal lines of scalar fields in two-dimensional (2d) turbulence is found to be conformal invariant and equivalent to that of cluster boundaries in critical phenomena. That allows for a rich variety of exact analytic results, first time in turbulence studies. In particular, the statistics of zero-vorticity lines in Navier-Stokes turbulence is found to be equivalent to that of critical percolation. The statistics of the zero-temperature lines in surface quasi-geostrophic (SQG) turbulence is found to be equivalent to that of the isolines of a Gaussian (free) field.
© EDP Sciences, Springer-Verlag, 2007
