On the structure of relativistic hydrodynamics for hot plasmas

Abstract

Novel structure for the relativistic hydrodynamics of the classical plasmas is derived following the microscopic dynamics of the charged particles. The derivation is started from the microscopic definition of the concentration. Obviously, the concentration evolution leads to the continuity equation which gives the definition of the current of particles. Next, we consider the current evolution (it differs from the momentum density). It leads to novel functions which, to the best of our knowledge, have not been consider in the literature earlier. One of these functions is the average reverse relativistic gamma factor. Its current is also considered as one of basic functions. Evolution of new functions appears via the concentration and the particle current. So, the set of equations partially closes itself. Other functions are represented using the equations of state via the basic functions at the truncation procedure. The Langmuir waves are considered within the suggested model.