Event: March meeting talk (Naomi)

Description:Membrane rotors: from Euler vorticity dynamics to quasi-geostrophic flows We show that the dynamics of rotors embedded in a quasi 2D membrane exhibit a power law transition in their interactions, from Euler fluid at small distances (1/r) , to quasi-geostrophic at large distances (1/r^2). We derive a Hamiltonian for a discrete system of rotors and describe the conserved quantities. We develop a coarse-grained description for a density field of rotors. Theory and simulations for both the discrete and the continuous cases are presented.