Anomalous entropy production in a turbulent plasma

The anomalous entropy production for a species of a magnetically confined plasma is evaluated in the first relevant orders for a steady state of turbulence. Using the anomalous distribution function, we give a rigorous definition for the anomalous entropy production and the anomalous entropy flux. Besides the ensemble averaged anomalous kinetic equation usually used in the literature, we obtain here a new anomalous kinetic equation, written for the ensemble averaged anomalous distribution function FA. Using this later equation, we analyse the role of dissipation in a steady state of turbulence and obtain the balance equation corresponding to the collisional dissipation of the ensemble averaged anomalous distribution function FA. This equation, which describes the implication of the classical collision operator in anomalous processes, does not appear in the previous literature. We write the anomalous entropy production by `flux-force' terms and also by dissipation terms. The role of the term involved in , which represents the rate of energy transfer between electrical fluctuations and particles, is analysed and clarified.