论文标题

量化冷却初始条件对宇宙字符串网络演变的影响

Quantifying the effect of cooled initial conditions on cosmic string network evolution

论文作者

Correia, J. R. C. C. C., Martins, C. J. A. P.

论文摘要

宇宙字符串网络(或其他拓扑缺陷)网络的进化和宇宙学后果的定量研究需要数值模拟和分析建模与速度依赖性的一尺度(VOS)模型的组合。在先前的工作中,我们证明了针对本地Abelian-Higgs字符串网络网络网格网络的GPU加速代码实现了影响字符串网络演变的关键动力学过程的统计分离,从而对VOS模型进行了精确的校准。在这里,我们在对将模拟与VOS模型联系起来的两个重要方面的详细研究中进一步利用了该代码。首先,我们研究模型校准对在初始条件下高梯度引起的热振荡(或不存在)的敏感性。这很重要,因为在文献中描述的一些Abelian-Higgs模拟中,引入了人工(非物理)耗散的时期 - 通常被称为冷却 - - 是为了抑制这些振荡并加速缩放量表的融合。我们表明,少量冷却对VOS模型校准没有统计学上的显着影响,而较长的耗散周期确实具有明显的效果。其次,在进行此分析时,我们还引入了改进的马尔可夫链蒙特卡洛管道来校准VOS模型,与我们以前的基于自举的管道进行比较,表明后者准确地确定了VOS模型参数的最佳合适值,但在某些参数中低估了不确定性。总体而言,我们的分析表明,校准管道是可靠的,可以应用于未来更大的田间理论模拟。

Quantitative studies of the evolution and cosmological consequences of networks of cosmic strings (or other topological defects) require a combination of numerical simulations and analytic modeling with the velocity-dependent one-scale (VOS) model. In previous work, we demonstrated that a GPU-accelerated code for local Abelian-Higgs string networks enables a statistical separation of key dynamical processes affecting the evolution of the string networks and thus a precise calibration of the VOS model. Here we further exploit this code in a detailed study of two important aspects connecting the simulations with the VOS model. First, we study the sensitivity of the model calibration to the presence (or absence) of thermal oscillations due to high gradients in the initial conditions. This is relevant since in some Abelian-Higgs simulations described in the literature a period of artificial (unphysical) dissipation---usually known as cooling---is introduced with the goal of suppressing these oscillations and accelerating the convergence to scaling. We show that a small amount of cooling has no statistically significant impact on the VOS model calibration, while a longer dissipation period does have a noticeable effect. Second, in doing this analysis we also introduce an improved Markov Chain Monte Carlo based pipeline for calibrating the VOS model, Comparison to our previous bootstrap based pipeline shows that the latter accurately determined the best-fit values of the VOS model parameter, but underestimated the uncertainties in some of the parameters. Overall, our analysis shows that the calibration pipeline is robust and can be applied to future much larger field theory simulations.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源