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arXiv 1407.7231hep-phnucl-th
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弛豫时间近似下体粘性演化的输运系数

Transport coefficients for bulk viscous evolution in the relaxation time approximation

Amaresh Jaiswal, Radoslaw Ryblewski, Michael Strickland

备注：
8 pages, 6 figures; v2 - PRC version
发表信息：
Phys. Rev. C 90, 044908 (2014)
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摘要：

我们推导出的形式的粘性修正相空间分布函数，由于体积粘性压力和剪切应力张量使用迭代的Chapman-Enskog方法。然后，我们计算所需的二阶流体动力学演化的体积粘性压力和剪切应力张量的传输系数。我们证明，使用Chapman-Enskog方法获得的传输系数是不同的比以前使用14矩近似有限粒子质量。专门的情况下，助推不变和横向均匀的纵向膨胀，我们表明，使用Chapman-Enskog方法得到的传输系数结果更好地符合玻尔兹曼方程的精确解的弛豫时间近似相比，在14矩近似得到的结果。最后，我们明确地证实，体积粘性压力的时间演化显着影响其耦合到剪切应力张量。

英文摘要：

We derive the form of the viscous corrections to the phase-space distribution function due to the bulk viscous pressure and shear stress tensor using the iterative Chapman-Enskog method. We then calculate the transport coefficients necessary for the second-order hydrodynamic evolution of the bulk viscous pressure and the shear stress tensor. We demonstrate that the transport coefficients obtained using the Chapman-Enskog method are different than those obtained previously using the 14-moment approximation for a finite particle mass. Specializing to the case of boost-invariant and transversally homogeneous longitudinal expansion, we show that the transport coefficients obtained using the Chapman-Enskog method result in better agreement with the exact solution of the Boltzmann equation in the relaxation-time approximation compared to results obtained in the 14-moment approximation. Finally, we explicitly confirm that the time evolution of the bulk viscous pressure is significantly affected by its coupling to the shear stress tensor.

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