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arXiv 1201.0943hep-phnucl-th
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夸克-胶子等离子体中管状结构的径向膨胀

On the radial expansion of tubular structures in a quark gluon plasma

D. A. Fogaça, F. S. Navarra, L. G. Ferreira Filho

摘要:

研究了热QGP中圆柱管的径向膨胀。这些电子管被看作是RHIC和LHC上重离子碰撞中形成的系统能量密度的扰动。我们从两个空间维度和圆柱对称的相对论流体动力学方程开始,并在一个小参数中对这些方程进行扩展,从而保持流体动力学形式主义的非线性。我们考虑理想流体和粘性流体,后者与相对论性纳维-斯托克斯方程进行了研究。我们使用的状态方程的MIT袋模型。在理想流体的情况下,我们得到一个破碎波方程的能量密度波动,然后数值求解。我们还表明,在一定的假设下,在相对论粘性流体的扰动由伯格斯方程。我们估计了管的典型膨胀时间。

英文摘要:

We study the radial expansion of cylindrical tubes in a hot QGP. These tubes are treated as perturbations in the energy density of the system which is formed in heavy ion collisions at RHIC and LHC. We start from the equations of relativistic hydrodynamics in two spatial dimensions and cylindrical symmetry and perform an expansion of these equations in a small parameter, conserving the nonlinearity of the hydrodynamical formalism. We consider both ideal and viscous fluids and the latter are studied with a relativistic Navier-Stokes equation. We use the equation of state of the MIT bag model. In the case of ideal fluids we obtain a breaking wave equation for the energy density fluctuation, which is then solved numerically. We also show that, under certain assumptions, perturbations in a relativistic viscous fluid are governed by the Burgers equation. We estimate the typical expansion time of the tubes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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