相对论重离子碰撞中的因果电荷扩散和平衡函数
Causal Electric Charge Diffusion and Balance Functions in Relativistic Heavy Ion Collisions
摘要:
用Cattaneo形式的耗散部分电流研究了高能重离子碰撞中电荷涨落的传播和扩散。与普通扩散方程相反,这种形式限制了电荷传播的速度。在简单的1+1维Bjorken流体动力学模型中,考虑了涨落耗散定理中唯一的噪声项,计算了带电强子的平衡函数.限制电荷波动的传播速度增加了高度,并减少了这些平衡函数的宽度时,绘制速度。我们还估计了AdS/CFT理论的相关扩散时间常数的数值。
英文摘要:
We study the propogation and diffusion of electric charge fluctuations in high energy heavy ion collisions using the Cattaneo form for the dissipative part of the electric current. As opposed to the ordinary diffusion equation this form limits the speed at which charge can propagate. Including the noise term in the current, which arises uniquely from the fluctuation-dissipation theorem, we calculate the balance functions for charged hadrons in a simple 1+1 dimensional Bjorken hydrodynamical model. Limiting the speed of propagation of charge fluctuations increases the height and reduces the width of these balance functions when plotted versus rapidity. We also estimate the numerical value of the associated diffusion time constant from AdS/CFT theory.
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