相对论格子玻尔兹曼方法对夸克-胶子等离子体的模拟
On the relativistic Lattice Boltzmann method for quark-gluon plasma simulations
摘要：
本文研究了最近发展起来的相对论流体力学格子Boltzmann模型。为此，我们分别采用相对论格子Boltzmann（RLB）、Boltzmann方法多部分子散射（BAMPS）和粘性光滑输运算法（vSHASTA）三种不同的计算模型，对低粘度和高粘度下夸克-胶子等离子体中的激波进行了模拟。从结果中，我们得出结论，RLB模型在高速和高温（粘度）的情况下偏离BAMPS，偏离是由于RLB是基于Maxwell-Jüttner分布的二次近似，这只适用于足够低的温度和速度。此外，我们已经调查了晶格速度的影响的结果，并表明，列入二次项的平衡分布提高了稳定性的方法在其域的适用性。最后，我们评估的RLB模型的可行性在各种参数制度相关的超相对论流体动力学。
英文摘要：
In this paper, we investigate the recently developed lattice Boltzmann model for relativistic hydrodynamics. To this purpose, we perform simulations of shock waves in quark-gluon plasma in the low and high viscosities regime, using three different computational models, the relativistic lattice Boltzmann (RLB), the Boltzmann Approach Multi-Parton Scattering (BAMPS), and the viscous sharp and smooth transport algorithm (vSHASTA). From the results, we conclude that the RLB model departs from BAMPS in the case of high speeds and high temperature(viscosities), the departure being due to the fact that the RLB is based on a quadratic approximation of the Maxwell-Jüttner distribution, which is only valid for sufficiently low temperature and velocity. Furthermore, we have investigated the influence of the lattice speed on the results, and shown that inclusion of quadratic terms in the equilibrium distribution improves the stability of the method within its domain of applicability. Finally, we assess the viability of the RLB model in the various parameter regimes relevant to ultra-relativistic fluid dynamics.
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