Finite Larmor radius effects in two-dimensional electrostatic plasma turbulence

Low frequency electrostatic turbulence in strongly magnetized, low beta-plasmas, is studied in two spatial dimensions. In this limit the guiding center velocity in the direction perpendicular to a homogeneous magnetic field is approximated by the E x B-0/B-0(2)-velocity. The electron Larmor radius can safely be set to zero for most relevant conditions, but the ion-dynamics are noticeably influenced by finite Larmor radius effects. We analyzed the effects of finite Larmor radius corrections on the ion velocity and density by using a fluid model where these effects are included by a computationally simple filtering operation. The equilibrium spectra are investigated and compared with analytical results. The consequences of finite Larmor radius corrections for the turbulent diffusion of charged particles across magnetic field lines are studied by obtaining the Lagrangian correlation functions for passive test particles convected by the plasma flow.