  In the causal theory of relativistic dissipative fluid dynamics, there are
conditions on the equation of state and other thermodynamic properties such as
the second-order coefficients of a fluid that need to be satisfied to guarantee
that the fluid perturbations propagate causally and obey hyperbolic equations.
The second-order coefficients in the causal theory, which are the relaxation
times for the dissipative degrees of freedom and coupling constants between
different forms of dissipation (relaxation lengths), are presented for partonic
and hadronic systems. These coefficients involves relativistic thermodynamic
integrals. The integrals are presented for general case and also for different
regimes in the temperature--chemical potential plane. It is shown that for a
given equation of state these second-order coefficients are not additional
parameters but they are determined by the equation of state. We also present
the prescription on the calculation of the freeze-out particle spectra from the
dynamics of relativistic non-ideal fluids.
