相对论重离子碰撞中电荷扩散涨落和自关联的数值计算
Calculating Fluctuations and Self-Correlations Numerically for Causal Charge Diffusion in Relativistic Heavy-Ion Collisions
摘要：
本文用纯数值方法研究了具有白噪声和Catteneo噪声的Bjorken流体动力学模型中电荷涨落的传播和扩散。我们表明，需要一个全球性的噪音波动晶格完全计算的两点的电荷。我们解决的随机微分方程，所产生的电荷守恒方程的晶格。我们明确识别的自相关项的情况下，卡特纽噪声，并提供了一个物理解释。我们提供了一个数值配方，以消除这种贡献，从完整的两点扩散。最后，我们计算了带电强子的平衡函数。通过限制信号传播的速度，我们观察到预期的缩小后，消除自相关的平衡功能。
英文摘要：
We study the propagation and diffusion of electric charge fluctuations in the Bjorken hydrodynamic model with both white and Catteneo noise using purely numerical methods. We show that a global lattice of noise fluctuations is required to fully calculate the two-point correlators of charge. We solve the stochastic differential equations that arise from the charge conservation equation on the lattice. We explicitly identify the self-correlation term in the case of Catteneo noise and provide a physical interpretation. We provide a numerical recipe to remove this contribution from the full two-point correlators. Finally, we calculate the balance functions for charged hadrons. By limiting the speed of signal propagation, we observe the expected narrowing of the balance functions after removing the self-correlations.
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