5.3 Results of the Constitutive 5 Relativistic Thermodynamics of Gases. 5.1 Thermodynamic Processes in Viscous

5.2 Constitutive Theory 

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

The former principle was discussed and exploited in the general scheme of Chapter  2, but the principle of relativity was not. This principle assumes that the constitutive functions tex2html_wrap_inline4305, tex2html_wrap_inline4307, tex2html_wrap_inline4309 - generically tex2html_wrap_inline4311 - are invariant under Lorentz transformations

displaymath1305

Thus the principle of relativity may be stated in the form

  equation1311

Note that tex2html_wrap_inline4311 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 Point In The Article, 40Jump To The Next Citation Point In The Article] or the paper by Liu, Müller & Ruggeri [31]. Here we explain only the results.



5.3 Results of the Constitutive 5 Relativistic Thermodynamics of Gases. 5.1 Thermodynamic Processes in Viscous

image Speeds of Propagation in Classical and Relativistic Extended Thermodynamics
Ingo Müller
http://www.livingreviews.org/lrr-1999-1
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