不同Knudsen数下动力学理论中空间和动量各向异性的早期行为
Early time behavior of spatial and momentum anisotropies in kinetic theory across different Knudsen numbers
摘要:
我们研究了早期发展的各向异性横向流动和空间偏心的火球与各种粒子为基础的运输方法,使用一个固定的初始条件。在数值模拟范围从准碰撞的情况下的流体动力学制度,我们发现,发病的$v_n$和相关措施的各向异性流可以用一个简单的幂律anomaly描述,指数取决于系统中的再散射量。在几个rescatterings制度,我们进行半解析计算的基础上,系统的扩展的权力的时间和截面,它可以重现的数值结果。
英文摘要:
We investigate the early time development of the anisotropic transverse flow and spatial eccentricities of a fireball with various particle-based transport approaches using a fixed initial condition. In numerical simulations ranging from the quasi-collisionless case to the hydrodynamic regime, we find that the onset of $v_n$ and of related measures of anisotropic flow can be described with a simple power-law ansatz, with an exponent that depends on the amount of rescatterings in the system. In the few-rescatterings regime we perform semi-analytical calculations, based on a systematic expansion in powers of time and the cross section, which can reproduce the numerical findings.
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