弛豫时间近似下Boltzmann方程的弱耦合和强耦合极限
Weak and strong coupling limits of the Boltzmann equation in the relaxation-time approximation
摘要：
在弛豫时间近似下，我们考虑了Boltzmann方程的动量依赖弛豫时间。我们采用幂律参数化的弛豫时间的动量依赖性，并计算的剪切和体积粘度，以及，电荷和热导率。我们表明，对于两个流行的参数化，被称为线性和二次的anananterior，可以得到相应的弱耦合和强耦合制度，分别输运系数。我们还表明，对于一个系统的无质量粒子与消失的化学势，非平衡修正计算的相空间分布函数的二次anadomic是相同的格拉德的14矩方法。
英文摘要：
We consider a momentum dependent relaxation time for the Boltzmann equation in the relaxation time approximation. We employ a power law parametrization for the momentum dependence of the relaxation time, and calculate the shear and bulk viscosity, as well as, the charge and heat conductivity. We show, that for the two popular parametrizations, referred to as the linear and quadratic ansatz, one can obtain transport coefficients which corresponds to the weak and strong coupling regimes, respectively. We also show that, for a system of massless particles with vanishing chemical potential, the off-equilibrium corrections to the phase-space distribution function calculated with the quadratic ansatz are identical with those of the Grad's 14-moment method.
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