论文标题
共形充电流体的因果关系和稳定条件
Causality and Stability Conditions of a Conformal Charged Fluid
论文作者
论文摘要
在本文中，我研究了对正常充电的液体施加的条件，以使该流体的因果关系和稳定标准。我在相对论的流体动力学框架中采用了新开发的通用框架（GF）概念，该框架指出，在应用稳定性和因果关系条件后必须固定流体动力框架。就我而言，我在公寓中采用带电的共形物质和$ 3+1 $的尺寸，以更好地分析这些条件。通过查看在大波浪数限制下的声音水电模式的渐近速度来应用因果关系条件，并且通过寻找水电模式的虚构部分以及Routh-Hurwitz标准来施加稳定性条件。通过固定某些运输方式，得出了其他空间的合适空间。我已经观察到，在有限$ u（1）$带电的化学势$μ_0$的密集培养基中，出现运输的负值，而热力学的第二定律尚未排除这种值的存在。标量传输的迹象不受任何约束的限制，仅由矢量传输的组合受热力学定律的限制。同样，从数字上证明，运输$ \tildeγ_{1，2} $的最有利的区域是当前耗散项的系数，是负值。
In this paper, I study the conditions imposed on a normal charged fluid so that the causality and stability criteria hold for this fluid. I adopt the newly developed General Frame (GF) notion in the relativistic hydrodynamics framework which states that hydrodynamic frames have to be fixed after applying the stability and causality conditions. To my purpose, I take a charged conformal matter in the flat and $3+1$ dimension to analyze better these conditions. The causality condition is applied by looking to the asymptotic velocity of sound hydro modes at the large wave number limit and stability conditions are imposed by looking to the imaginary parts of hydro modes as well as the Routh-Hurwitz criteria. By fixing some of the transports, the suitable spaces for other ones are derived. I have observed that in a dense medium with finite $U(1)$ charged chemical potential $μ_0$, negative values for transports appear and the second law of thermodynamics has not ruled out the existence of such values. Sign of scalar transports are not limited by any constraints and just a combination of vector transports is limited by the second law of thermodynamic. Also numerically it is proved that the most favorable region for transports $\tildeγ_{1, 2}$, coefficients of the dissipative terms of the current, is of negative values.
