相对论等离子体中的各向异性turbulence
Anisotropic turbulence in relativistic plasmas
摘要：
在高能相对论性重离子碰撞中观察到了湍流现象。我们研究了这个系统中的湍流的签名，发现有显着偏离各向同性湍流在碰撞的初始阶段。由于各向异性起伏是次导致的各向同性起伏，柯尔莫哥洛夫谱通常可以得到，即使对于初始阶段。然而，能量谱和温度波动表明偏离各向同性湍流。由于在横、纵平面之间存在很强的动量各向异性，我们研究了这两个平面上的能量密度谱。几何各向异性反映在旋转等离子体中产生的各向异性湍流中，我们发现标度指数在两个平面上是不同的。我们发现，标度指数在纵向平面是独立的中心性，而在横向平面的标度指数依赖于中心范围。我们还得到了初始阶段的温度谱。该谱偏离了各向同性湍流所期望的高斯谱。这些结果表明，相对论性重离子碰撞在小尺度下仍然存在大尺度动量各向异性。
英文摘要：
Signs of turbulence have been observed at the relativistic heavy ion collision at high collision energies. We study the signatures of turbulence in this system and find that there are significant departures from isotropic turbulence in the initial stages of the collision. Since the anisotropic fluctuations are sub leading to the isotropic fluctuations, the Kolmogorov spectrum can usually be obtained even for the initial stages. However, the energy spectrum and the temperature fluctuations indicate deviations from isotropic turbulence. Since a strong momentum anisotropy exists between the transverse and the longitudinal plane, we study the energy density spectrum in these two planes. The geometrical anisotropy is reflected in the anisotropic turbulence generated in the rotating plasma and we find that the scaling exponent is different in the two planes. We find that the scaling exponents in the longitudinal plane are independent of centrality while the scaling exponent in the transverse plane depends on the centrality range. We also obtain the temperature spectrum in the initial stages. The spectrum deviates from the Gaussian spectra expected for an isotropic turbulence. All these seem to indicate that the large scale momentum anisotropy persists in the smaller length scales for the relativistic heavy ion collisions.
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