Bayesian inference of axisymmetric plasma equilibrium

Abstract We present a Bayesian method for inferring axisymmetric plasma equilibria from the magnetic field and pressure measurements. The calculates all possible solutions current distributions consistent with measurements magnetohydrodynamic (MHD) force balance. Toroidal coils are modelled as set of current-carrying solid beams. other parameters such poloidal flux given function flux, which is determined 2D distribution. Plasma profiles Gaussian processes whose smoothness optimally chosen based on principle Occam’s razor. To find equilibrium solutions, we introduce an MHD balance constraint at every beam part prior knowledge. Given these physical quantities, predictions calculated by predictive (forward) models diagnostics compared to observations. high dimensional complex posterior probability distribution explored new algorithm Gibbs sampling scheme.