演化的Kolmogorov谱
Evolving Glasma and Kolmogorov Spectrum
摘要：
我们提出了一个教学介绍的理论框架的彩色玻璃冷凝（CGC）和麦克莱兰Venugopalan（MV）模型。讨论了MV模型在描述相对论重离子碰撞早期动力学中的应用。在没有纵向波动的情况下，经典的时间演化保持了升压不变性，而一旦包含了打破升压不变性的波动，则会产生不稳定性。我们发现，只要不稳定的模式之间的自相互作用保持弱，系统驻留在线性政权，这种“卡尔玛不稳定性”增强快速依赖的变化。最终不稳定模式的振幅变得如此之大，以至于不稳定性的增长达到饱和。在这种非线性制度的数值模拟的湍流能量流从低频模式到高频模式，这导致在一个特征的幂律谱。在数值模拟中发现的扩展的Komma系统的功率原来是一致的Kolmogorov的-5/3标度。
英文摘要：
We present a pedagogical introduction to the theoretical framework of the Color Glass Condensate (CGC) and the McLerran-Venugopalan (MV) model. We discuss the application of the MV model to describe the early-time dynamics of the relativistic heavy-ion collision. Without longitudinal fluctuations the classical time evolution maintains the boost invariance, while an instability develops once fluctuations that break boost invariance are included. We show that this "Glasma instability" enhances rapidity-dependent variations as long as self-interactions among unstable modes stay weak and the system resides in the linear regime. Eventually the amplitude of unstable modes becomes so large that the growth of instability gets saturated. In this non-linear regime the numerical simulations of the Glasma lead to turbulent energy flow from low-frequency modes to higher-frequency modes, which results in a characteristic power-law spectrum. The power found in numerical simulation of the expanding Glasma system turns out to be consistent with Kolmogorov's -5/3 scaling.
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