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. C 85, 14906 (2012)). We extend this formalism further to the arbitrary local rest frame. We discuss the stability and causality of solutions of fluid equations which are obtained by applying this formulation to the Landau- Lifshitz 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, cs, propagating in the fluid, must not exceed the speed of light c, i.e., c_s < c. This conclusion is equivalent to that obtained in the previous paper using the Eckart frame (Phys. Rev. C 85, 14906 (2012)).
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机译:最近,我们通过扩展Eckart框架中的所谓匹配条件,提出了一种相对论耗散流体力学公式化的新方法(Phys。Rev. C 85,14906(2012))。我们将这种形式主义进一步扩展到任意的本地休息框架。我们讨论了通过将该公式应用于Landau-Lifshitz框架而获得的流体方程解的稳定性和因果关系,该方程与处理超相对论重离子碰撞中产生的流体更相关。我们导出具有零重子化学势的相对论耗散流体的运动方程,并表明从中获得的线性化方程对于小扰动是稳定的。已经发现,使流体对于最小的摄动稳定的条件等同于施加限制,即在流体中传播的声波cs不得超过光速c,即c_s 展开▼