Elasticae and Stellarators

Motivation Stellarators are weird-looking fusion devices. The reason is that ions and electrons are better confined when the magnetic field is “twisting” around the centre-line of the device called the magnetic axis. In tokamaks, the vacuum field generated by the evenly-positioned toroidal field coils is somewhat “flat”, as shown on the figure below. In order to generate twisting, a strong toroidal plasma current (in red in the figure below) is

A billion trillion “clashes” make a plasma

A systematic treatment of microscopic collisions to extend fluid models of plasmas At the microscopic level, binary collisions between charged particles conserve two fundamental quantities, namely momentum and energy. This conservation must be present in fluid models in order to describe the macroscopic evolution of plasmas correctly. A systematic treatment of collisional effects is presented to derive fluid models beyond the usual assumption of “thermal equilibrium”. Such extended models will