动态演化各向异性背景中的色电振荡
Chromoelectric oscillations in a dynamically evolving anisotropic background
摘要：
本文研究了在弱场极限下，在动态演化的动量空间各向异性背景中的均匀纵向色电场的振荡。背景的演化方程是通过在两种情况下取玻尔兹曼方程的矩来推导的：（i）固定的弛豫时间和（ii）弛豫时间与等离子体的局部反横向动量标度成比例。第二种情况下，我们可以重现二阶粘性流体动力学在小剪切粘度熵比的限制。然后，我们线性化的Boltzmann-Vlasov方程在一个动态发展的背景下，得到一个积分微分演化方程的色电场。我们提出了各种不同的初始条件和剪切粘度熵密度比的数值解，这个积分微分方程。得到的动力学方程是新颖的，因为它们包括一个非平凡的时间依赖的动量-空间各向异性的背景和碰撞阻尼的影响第一次。
英文摘要：
We study the oscillations of a uniform longitudinal chromoelectric field in a dynamically-evolving momentum-space anisotropic background in the weak field limit. Evolution equations for the background are derived by taking moments of the Boltzmann equation in two cases: (i) a fixed relaxation time and (ii) a relaxation time that is proportional to the local inverse transverse momentum scale of the plasma. The second case allows us to reproduce 2nd-order viscous hydrodynamical dynamics in the limit of small shear viscosity to entropy ratio. We then linearize the Boltzmann-Vlasov equation in a dynamically-evolving background and obtain an integro-differential evolution equation for the chromoelectric field. We present numerical solutions to this integro-differential equation for a variety of different initial conditions and shear viscosity to entropy density ratios. The dynamical equations obtained are novel in that they include a non-trivial time-dependent momentum-space anisotropic background and the effect of collisional damping for the first time.
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