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arXiv 2006.14252hep-phhep-thnucl-th
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考虑电子对产生和湮灭过程的弛豫时间近似

Relaxation time approximation with pair production and annihilation processes

Samapan Bhadury, Wojciech Florkowski, Amaresh Jaiswal, Radoslaw Ryblewski

摘要:

我们扩展了玻尔兹曼方程的弛豫时间近似明确包括粒子之间的过渡形成一个相互作用的混合物。利用细致平衡条件以及能量-动量守恒和电流守恒条件,我们证明了在这样的相互作用系统中只允许两个独立的弛豫时间尺度。耗散流体动力学方程和输运系数的形式,随后推导出这种情况下。我们发现,剪切和体粘滞系数,以及重子电荷电导率是独立的过渡时间尺度。然而,可以归因于混合物的各个组分的体积粘度和电导率系数取决于过渡时间。

英文摘要:

We extend the Boltzmann equation in the relaxation time approximation to explicitly include transitions between particles forming an interacting mixture. Using the detailed balance condition as well as conditions of energy-momentum and current conservation, we show that only two independent relaxation time scales are allowed in such an interacting system. Dissipative hydrodynamic equations and the form of transport coefficients is subsequently derived for this case. We find that the shear and bulk viscosity coefficients, as well as the baryon charge conductivity are independent of the transition time scale. However, the bulk viscosity and conductivity coefficients that can be attributed to the individual components of the mixture depend on the transition time.

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