5.2 Constitutive theory

We recall the restrictive principles of the constitutive theory from Section 2 and adjust them to the present case

The former principle was discussed and exploited in the general scheme of Section 2, but the principle of relativity was not. This principle assumes that the constitutive functions ˆ ABC A, ˆAB I, ˆ A h – generically Cˆ – are invariant under Lorentz transformations

∗A ∗A B x = x (x ).

Thus the principle of relativity may be stated in the form

∗ ∗ ∗ C = ˆC(AM ,AMN ) and C= Cˆ(A M ,A MM ) (85 )
Note that ˆ C is the same function in both equations.

It is complicated and cumbersome to exploit the constitutive theory but the results are remarkably specific, at least for near-equilibrium processes:

For details of the calculation the reader is referred to the literature, in particular to the book by Müller & Ruggeri [39Jump To The Next Citation Point40Jump To The Next Citation Point] or the paper by Liu, Müller & Ruggeri [31]. Here we explain only the results.

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