Anomalous transport matrix for cylindrical plasmas

Transport equations are investigated for a cylindrical plasma in the presen ce of electrostatic fluctuations. In a weakly turbulent regime, the transpo rt matrices that relate the anomalous particle and heat fluxes and the para llel current to the thermodynamical forces are determined by employing drif t-kinetic and gyrokinetic orderings for the electrons and ions. The calcula tion is based on the kinetic equations for the ensemble-averaged and fluctu ating distribution functions. The crucial difference with previous works is the inclusion of an extra term in the drift-kinetic equation for the fluct uating electron distribution function. This extra term, which arises from t he ensemble-averaged first-order (in a Larmor radius expansion) electron di stribution function, leads to the Ware pinch components of the particle and heat fluxes and a correction to the Ohmic current. Furthermore, Shaing's a nsatz, which was introduced in the synthetic theory of anomalous and neocla ssical transport, is shown to be connected with this extra term in the cont ext of a turbulent plasma, and the physical meaning and the validity of thi s ansatz are revealed. In drift-wave turbulence, the transport matrices, ex pressed in an implicit form by considering the frequency of fluctuations as a parameter, are rewritten in an explicit form by deter mining its frequen cy through the dispersion relation. The Onsager symmetry is shown to be bro ken for this explicit form of anomalous transport matrix.