论文标题
因果扩散系统的跨系列
Transseries for causal diffusive systems
论文作者
论文摘要
扩展增强不变性流体的庞大适当时间行为为夸克 - 胶结等离子体动力学提供了许多关键见解。在这里，我们在平衡的线性扰动水平上制定并探索非平衡动力学的后期行为，但没有任何特殊的对称假设。我们介绍了一个有用的定量近似方案，其中流体动力模式以扰动贡献而出现，而瞬态是非扰动的。这样，在增强不变的流动的情况下，解决方案是自然组织成跨系列的。我们将注意力集中在无处不在的电信方程上，这是具有流体动力部门的因果理论的最简单例子。在位置空间中，我们发现了新颖的瞬态贡献以及基于时空区域或初始数据的选择改变跨系的结构的现象。
The large proper-time behaviour of expanding boost-invariant fluids has provided many crucial insights into quark-gluon plasma dynamics. Here we formulate and explore the late-time behaviour of nonequilibrium dynamics at the level of linearized perturbations of equilibrium, but without any special symmetry assumptions. We introduce a useful quantitative approximation scheme in which hydrodynamic modes appear as perturbative contributions while transients are nonperturbative. In this way, solutions are naturally organized into transseries as they are in the case of boost-invariant flows. We focus our attention on the ubiquitous telegrapher's equation, the simplest example of a causal theory with a hydrodynamic sector. In position space we uncover novel transient contributions as well as Stokes phenomena which change the structure of the transseries based on the spacetime region or the choice of initial data.
