论文标题
纵向扩展的动力学理论中非热固定点的稳定性分析
Stability analysis of non-thermal fixed points in longitudinally expanding kinetic theory
论文作者
论文摘要
我们使用动力学理论的汉密尔顿公式来对非亚伯血浆中的非热固定点进行稳定性分析。我们在绝热近似中构建了Fokker-Planck碰撞内核的扰动膨胀,并表明(临近)领先的订单解决方案将重现已知的非热固定点缩放指数。我们以近代的顺序工作,得出了用于缩放指数的稳定性方程,并将放松率找到到非热固定点。这种方法为理解在QCD动力学理论和非相关的Bose气体系统中观察到的预锁现象提供了基础。
We use the Hamiltonian formulation of kinetic theory to perform a stability analysis of non-thermal fixed points in a non-Abelian plasma. We construct a perturbative expansion of the Fokker-Planck collision kernel in an adiabatic approximation and show that the (next-to-)leading order solutions reproduce the known non-thermal fixed point scaling exponents. Working at next-to-leading order, we derive the stability equations for scaling exponents and find the relaxation rate to the non-thermal fixed point. This approach provides the basis for an understanding of the prescaling phenomena observed in QCD kinetic theory and non-relativistic Bose gas systems.