论文标题
在相对论重型离子碰撞中计算因果电荷扩散的数值波动和自相关的计算
Calculating Fluctuations and Self-Correlations Numerically for Causal Charge Diffusion in Relativistic Heavy-Ion Collisions
论文作者
论文摘要
我们使用纯粹的数值方法研究了用白色和卡蒂尼奥噪声的Bjorken流体动力学模型中电荷波动的传播和扩散。我们表明，需要一个全局的噪声波动晶格来完全计算电荷的两点相关器。我们解决了由晶格上的电荷保护方程产生的随机微分方程。在Catteneo噪声的情况下，我们明确确定了自相关术语，并提供了物理解释。我们提供了一个数值配方，可以从完整的两点相关器中删除此贡献。最后，我们计算带电的Hadron的余额功能。通过限制信号传播的速度，我们观察到删除自相关后平衡功能的预期缩小。
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.
