Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2012-04-05
Physics
Nuclear Physics
Nuclear Theory
7 pages. Contribution to The European Physical Journal A (Hadrons and Nuclei) topical issue about 'Relativistic Hydro- and The
Scientific paper
Recently we propose a novel approach to formulation of the relativistic dissipative hydrodynamics by extending the so-called matching conditions in Eckart frame [Phys. Rev.C 85, (2012) 14906]. We further extend the formulation so that a fluid might be dealt with in the frame of not only the Eckart frame but an arbitrary Lorentz frame in this article. We argued about the stability and causality of the solutions of the fluid equations which are obtained by applying the novel formulation to the Landau frame, more relevant frame to treat of fluid produced in ultra-relativistic heavy-ion collisions. We derive equations of motion for the 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 develop against an infinitesimal perturbation are equivalent to receiving restrictions so that the speed of sound wave, $c_s$, propagating in the fluid must not exceed the speed of light $c$, i.e., $c_s
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