论文标题
通过成对生产和歼灭过程的放松时间近似
Relaxation time approximation with pair production and annihilation processes
论文作者
论文摘要
我们在松弛时间近似中扩展了Boltzmann方程,以明确包括形成相互作用混合物的颗粒之间的过渡。使用详细的平衡条件以及能量摩托车和电流保护的条件,我们表明在这种相互作用的系统中只允许两个独立的松弛时间尺度。随后,对于这种情况,耗散性流体动力方程和运输系数的形式被得出。我们发现,剪切和散装粘度系数以及Baryon电荷电导率与过渡时间尺度无关。但是,可以归因于混合物的各个成分的大量粘度和电导率系数取决于过渡时间。
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.