2 research outputs found
Relativistic dissipative hydrodynamics with extended matching conditions for ultra-relativistic heavy-ion collisions
Recently we proposed a novel approach to the formulation of relativistic
dissipative hydrodynamics by extending the so-called matching conditions in the
Eckart frame [Phys. Rev. {\bf C 85}, (2012) 14906]. We extend this formalism
further to the arbitrary Lorentz frame. We discuss the stability and causality
of solutions of fluid equations which are obtained by applying this formulation
to the Landau frame, which is more relevant to treat the fluid produced in
ultra-relativistic heavy-ion collisions. We derive equations of motion for a
relativistic dissipative fluid with zero baryon chemical potential and show
that linearized equations obtained from them are stable against small
perturbations. It is found that conditions for a fluid to be stable against
infinitesimal perturbations are equivalent to imposing restrictions that the
sound wave, , propagating in the fluid, must not exceed the speed of light
, i.e., . This conclusion is equivalent to that obtained in the
previous paper using the Eckart frame [Phys. Rev. {\bf C 85}, (2012) 14906].Comment: 2nd version. Typos corrected. 7 pages. Contribution to The European
Physical Journal A (Hadrons and Nuclei) topical issue about 'Relativistic
Hydro- and Thermodynamics in Nuclear Physics