Thus we conclude that no paradox of infinite speeds can arise in extended thermodynamics, - at least not for finitely many variables.
A commonly treated special case occurs when the fields
are moments of the phase density of a gas. In this case the
pulse speed depends on the
degree of extension, i.e. on the number
n
of fields
. For a gas in equilibrium the pulse speeds can be calculated
for any
n
. Also it can be estimated that the pulse speed tends to infinity
as
n
grows to infinity.
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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 |