非零背景电荷情况下 Israel-Stewart 理论的线性稳定性分析
Linear stability analysis of Israel-Stewart theory in the case of a nonzero background charge
AI总结：
本文将 Israel-Stewart 理论的线性稳定性分析扩展至非零背景电荷情形，发现背景电荷最多使电荷扩散系数增至四倍，并通过系统性参数研究确定了稳定因果与非因果/不稳定解的参数区域。
摘要：
文献 [Phys.~Rev.~D 102 (2020) 116009] 针对无质量、经典的无相互作用粒子气体，研究了存在净电荷扩散时 Israel-Stewart 理论的线性稳定性。然而，该工作仅考虑了零净电荷背景。在本研究中，我们将该研究扩展至非零背景电荷的情形。我们发现，这实际上会导致电荷扩散系数数值的改变：当背景电荷趋于无穷大时，该系数最多可达到其在零背景电荷时数值的四倍。我们还通过在电荷扩散系数与剪切应力-净电荷扩散耦合项构成的参数平面上进行系统性参数研究，进一步扩展了文献 [Phys.~Rev.~D 102 (2020) 116009] 的分析。在该参数平面中，我们确定了解保持稳定和因果性的区域，以及解变为非因果和/或不稳定的区域。
英文摘要：
Linear stability of Israel-Stewart theory in the presence of net-charge diffusion was investigated in [Phys.~Rev.~D 102 (2020) 116009] for the case of a massless, classical gas of noninteracting particles. However, in that work only a vanishing net-charge background was considered. In this work, we extend that study to the case of a nonvanishing background charge. We find that this effectively results in a change of the numeric value of the charge-diffusion coefficient, in a way that when the background charge goes to infinity, this coefficient can become at most four times its value at zero background charge. We also extend the analysis of [Phys.~Rev.~D 102 (2020) 116009] by performing a systematic parameter study in the plane of charge-diffusion coefficient vs.\ the coupling term between shear-stress and net-charge diffusion. In this plane, we identify regions where the solutions remain stable and causal and where they become acausal and/or unstable.
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