Title: Conformal invariance in inverse turbulent cascades


Abstract:
We study by means of direct numerical simulations the statistical
properties of turbulent cascades in a class of nonlinear models
describing the dynamics of a scalar field transported by a
two-dimensional incompressible flow. Within the resolution of our
numerics we find that the zero-isolines of the scalar field are
statistically equivalent to conformal invariant curves described by
the Shramm Loewner Equation (SLE).