Symmetric-hyperbolic quasihydrodynamics

We set up a general framework for systematically building and classifying, in the linear regime, causal stable dissipative hydrodynamic theories that, alongside with usual modes, also allow an arbitrary number of non-hydrodynamic modes complex dispersion relation (such are often referred to as "quasi-hydrodynamic"). To increase one needs add more effective fields model. The system equations governing this class quasi-hydrodynamic is symmetric hyperbolic, thermodynamically consistent (i.e. entropy Lyapunov function) can be derived from action principle. As first application formalism, we prove Israel-Stewart theory Eckart frame Landau exactly same theory. In addition, Onsager-Casimir analysis, show that strongly coupled plasmas non-equilibrium degrees freedom typically appear pairs, whose members acquire opposite phase under time reversal. use insight modify Cattaneo's model diffusion, way make its initial transient dynamics holographic plasmas.