Intrinsic symmetries and conservation of mass in chemically reacting systems

Abstract

We continue with the approach (originated in Chaps. 6 and 7) to conservation laws in an extended thermodynamics viewing this theory either as a result of the implications of nonequilibrium statistical mechanics (Grad 1958) or as a macroscopic extension of the “micro-thermodynamics” of de Broglie (de Broglie 1964). To characterize thermal inertia the coefficient g of Chap. 5 or the inertial coefficient θ of Chap. 6 are used. Principle of their evaluation in the framework of each of the two theories has already been described (Sec. 4 of Chap. 4 and Sec. 1 of Chap. 6). Extending problems investigated in these chapters, the present treatment deals with multicomponent fluids with sources in continuity equations. Interpreting thermal inertia within the framework of nonequilibrium statistical mechanics is one possibility. The second is a macroscopic counterpart of the de Broglie theory. The latter is microscopic, quantum and relativistic; however, we pursue its nonrelativistic macroscopic counterpart, which is sufficient to preserve the effect of thermal inertia, inherent in that theory.