Theory of dissipative fluid dynamics (B01)

耗散流体动力学理论（B01）

• 批准号: 376489561
• 金额: --
• 依托单位: Arbeitsgruppe Theoretische Hochenergiephysik
• 依托单位国家: 德国
• 项目类别: CRC/Transregios
• 财政年份: 2017
• 资助国家: 德国
• 起止时间: 2016-12-31 至 2020-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/376489561?language=en
• 关键词: Theory; dissipative; fluid; dynamics; B01

Fluid dynamics can be formulated as an expansion in powers of the Knudsen number Kn, the ratio of a microscopic to a macroscopic length scale. However, since the systems created in heavy-ion collisions are small and feature large gradients of the fluid-dynamical fields, there are regions where Kn is not small, limiting the applicability of fluid dynamics. We use the method of moments to systematically improve the theory of dissipative fluid dynamics and extend its range of applicability, by including higher-order terms in, and by using an anisotropic reference state for, the expansion in powers of Kn. We control our approximations by comparison to solutions of the Boltzmann equation.

流体动力学可以表述为努森数Kn的幂的展开，即微观长度尺度与宏观长度尺度的比率。然而，由于在重离子碰撞中产生的系统很小，并且具有流体动力场的大梯度，因此存在Kn不小的区域，限制了流体动力学的适用性。我们使用的矩量法，系统地改善耗散流体动力学理论，并扩大其适用范围，包括高阶项，并通过使用各向异性的参考状态，Kn的幂的扩展。我们通过与玻尔兹曼方程的解进行比较来控制我们的近似。