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arXiv 0909.0376nucl-thhep-ph
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理想和粘性动力学中椭圆流的初始偏心率和组分夸克数标度

Initial eccentricity and constituent quark number scaling of elliptic flow in ideal and viscous dynamics

A. K. Chaudhuri

摘要:

在Israel-Stewart的耗散流体力学理论中,我们研究了Au+Au碰撞中椭圆流的标度性质。流体的初始能量密度是固定的,以再现STAR数据的$ϕ$介子多重性在0-5%金+金碰撞,这样,无论流体粘度,熵冻结是类似的理想或粘性的演变。初始偏心率或组分夸克数标度仅在理想或最小粘性($η/s=1/4π$)流体中近似。在更粘稠的流体中,偏心率缩放变得几乎精确($η/s \geq$ 0.12)。然而,在更粘滞的流体中,介子和重子的组分夸克数标度椭圆流分裂成单独的标度函数。模拟流也没有表现出“通用的缩放”,即椭圆流缩放的组成夸克数和带电粒子$v_2$不是一个单一的函数的横向动能缩放的夸克数。通过对普适标度破坏的研究,我们得到了QGP粘滞度的一个估计,即$η/s=0.12 \pm 0.03$。

英文摘要:

In the Israel-Stewart's theory of dissipative hydrodynamics, we study the scaling properties elliptic flow in Au+Au collisions. Initial energy density of the fluid was fixed to reproduce STAR data on $ϕ$ meson multiplicity in 0-5% Au+Au collisions, such that irrespective of fluid viscosity, entropy at the freeze-out is similar in ideal or in viscous evolution. Initial eccentricity or constituent quark number scaling is only approximate in ideal or minimally viscous ($η/s=1/4π$) fluid. Eccentricity scaling become nearly exact in more viscous fluid ($η/s \geq$0.12). However, in more viscous fluid, constituent quark number scaled elliptic flow for mesons and baryons split into separate scaling functions. Simulated flows also do not exhibit 'universal scaling' i.e. elliptic flow scaled by the constituent quark number and charged particles $v_2$ is not a single function of transverse kinetic energy scaled by the quark number. From a study of violation of universal scaling, we obtain an estimate of QGP viscosity, $η/s=0.12 \pm 0.03$.

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