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
,
,
- generically
- are invariant under Lorentz transformations
Thus the principle of relativity may be stated in the form
Note that
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 [39,
40
] or the paper by Liu, Müller & Ruggeri [31]. Here we explain only the results.
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Speeds of Propagation in Classical and Relativistic
Extended Thermodynamics
Ingo Müller http://www.livingreviews.org/lrr-1999-1 © Max-Planck-Gesellschaft. ISSN 1433-8351 Problems/Comments to livrev@aei-potsdam.mpg.de |