论文标题
扩展等离子体的晚期至早期行为：指数渐近学的流体动力
The late to early time behaviour of an expanding plasma: hydrodynamisation from exponential asymptotics
论文作者
论文摘要
我们使用指数渐近学来匹配扩展的，形式不变的流体的晚期温度演变与其早期行为。我们表明，使用良好的超声症，骨化和跨性响应学的方法，可以使用丰富的跨性别渐近物渐近物来以指数准确的态度插入两个方案。这种方法是通用的，可以应用于涉及局部渐近跨系的扩展以及在远离扩展点的第二个区域中对解决方案的知识的任何插值问题。此外，我们介绍了解决方案的全局分析特性，例如对方形 - 根分支点位置的分析近似，这说明了总结的跨系列在自身中如何包含有关具有不同渐近学区域的可观察到的信息。
We use exponential asymptotics to match the late time temperature evolution of an expanding, conformally invariant fluid to its early time behaviour. We show that the rich divergent transseries asymptotics at late times can be used to interpolate between the two regimes with exponential accuracy using the well-established methods of hyperasymptotics, Borel resummation and transasymptotics. This approach is generic and can be applied to any interpolation problem involving a local asymptotic transseries expansion as well as knowledge of the solution in a second region away from the expansion point. Moreover, we present global analytical properties of the solutions such as analytic approximations to the locations of the square-root branch points, exemplifying how the summed transseries contains within itself information about the observable in regions with different asymptotics.
