THE NON-RELATIVISTIC LIMIT OF RELATIVISTIC EXTENDED THERMODYNAMICS WITH MANY MOMENTS- PART I: THE BALANCE EQUATIONS

摘要

The non-relativistic limit of Relativistic Extended Thermodynamics with 14 moments can be found in a paper by Dreyer and Weiss, which has been widely appreciated. In particular it suggest a particular structure for the classical counterpart of the theory, in particular that developed by Kremer, instead of the previous one with 13 moments. The same thing needs to be obtained with an arbitrary but fixed number of moments, and this is the object of the present paper. Also our results predict a particular structure for the classical counterpart with many moments, and it is not the simpler one. Moreover, from the passages here involved, it is evident that the deviation from the dominant parts of the equations is of the second order with respect to 1/c, with c the speed of light. This is interesting also for future applications; it suffices now to remember that the Maxwell equations are linear with respect to 1/c.