Generalized pinch relation in rotating, sheared plasma*

In magnetized plasma, in equilibrium, different ionic species tend to accumulate differently in what is sometimes called an impurity pinch effect. The disparities in the ion density profiles of different species are of interest in a variety of fusion devices, from magnetized Z pinches to tokamaks,  and in mass filters. Recent work has generalized the pinch relation by taking the temperature and species-dependent potential into account. In addition, rotation introduces the centrifugal force, and might introduce shear stress, which modify the generalized pinch condition. Taking these effects into account, we investigate the new pinch condition analytically, and provide numerical validation by generalizing a multiple-fluid code to cylindrical geometry.