因果扩散系统的跨级数
Transseries for causal diffusive systems
摘要：
膨胀的助推不变流体的大的固有时间行为为夸克-胶子等离子体动力学提供了许多重要的见解。在这里，我们制定和探索的非平衡动力学的后期行为的水平上的线性化扰动的平衡，但没有任何特殊的对称性假设。我们引入了一个有用的定量近似方案，其中流体动力学模式出现微扰的贡献，而瞬态是非微扰的。这样，解自然地被组织成transseries，就像它们在助推不变流的情况下一样。我们把我们的注意力集中在无处不在的电报员的方程，一个因果理论与流体力学部门的最简单的例子。在位置空间中，我们发现了新的瞬态贡献以及斯托克斯现象的基础上的时空区域或初始数据的选择改变的transseries的结构。
英文摘要：
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.
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