Title: An analytic approach to the RTA Boltzmann attractor Show Chinese title

Title: RTA玻尔兹曼吸引子的解析方法

Abstract: We reformulate the Boltzmann equation in the relaxation time approximation undergoing Bjorken flow in terms of a novel partial differential equation for the generating function of the moments of the distribution function. This is used to obtain an approximate analytic description of this system's far-from-equilibrium attractor via a series expansion at early times. This expansion possesses a finite radius of convergence and can be analytically continued to late times. We find that this procedure reproduces the known values of shear viscosity and other transport coefficients to high accuracy. We also provide a simple approximate analytic expression that describes the attractor in the entire domain of interest for studies of quark-gluon plasma dynamics. Show Chinese abstract

Abstract: 我们用一个新的偏微分方程来重新表述在弛豫时间近似下经历Bjorken流的玻尔兹曼方程，该方程是关于分布函数矩的生成函数。 这被用来通过早期时间的级数展开获得此系统的远离平衡吸引子的近似解析描述。 这个展开具有有限的收敛半径，并且可以解析延拓到晚期时间。 我们发现，这种方法以高精度再现了已知的剪切粘度和其他输运系数的值。 我们还提供了一个简单的近似解析表达式，用于描述整个感兴趣区域内的吸引子，以研究夸克-胶子等离子体的动力学。