title: Universal velocity profile for coherent vortices in two-dimensional turbulence.
abstract: Two-dimensional turbulence generated in a finite box produces large-scale coherent vortices coexisting with small-scale fluctuations. We present a rigorous theory explaining the eta=1/4 scaling in the V is proportional to r(-eta) law of the velocity spatial profile within a vortex, where r is the distance from the vortex center. This scaling, consistent with earlier numerical and laboratory measurements, is universal in its independence of details of the small-scale injection of turbulent fluctuations and details of the shape of the box.
authors.affiliation: Center for Nonlinear Studies & Theoretical Division, LANL, Los Alamos, New Mexico 87545, USA.
authors.forename: M
authors.initials: M
authors.lastname: Chertkov
authors.forename: I
authors.initials: I
authors.lastname: Kolokolov
authors.forename: V
authors.initials: V
authors.lastname: Lebedev