Hydrodynamics, resurgence, and transasymptotics
Hydrodynamics, resurgence, and transasymptotics
复制标题
DOI：
10.1103/physrevd.92.125011
复制
发表时间：
2015-12-15
影响因子：
5
通讯作者：
Dunne, Gerald V.
中科院分区：
文献类型：
--
作者：
Basar, Goekce;Dunne, Gerald V.
经历升压不变膨胀的均匀共形等离子体的二阶流体动力学描述由单个非线性常微分方程给出，我们研究其复兴的渐近性质，进一步发展了 Heller 和 Spalinski 最近的工作 [Phys.莱特牧师。 115, 072501 (2015)]。复兴清楚地识别了在后期被指数抑制的非流体动力学模式，类似于引力语言中的准正常模式，以跨级数扩展的形式组织这些模式。这些模式类似于半经典展开式中的瞬子，其中阻尼率起着瞬子作用的作用。我们表明，该系统显示了复苏的一般特征，并且这些非流体动力模式的不同阶的波动之间具有明确的定量关系。跨级数参数的虚部由斯托克斯常数确定，实部由与初始条件相关的自由度确定。
The second order hydrodynamical description of a homogeneous conformal plasma that undergoes a boost-invariant expansion is given by a single nonlinear ordinary differential equation, whose resurgent asymptotic properties we study, developing further the recent work of Heller and Spalinski [Phys. Rev. Lett. 115, 072501 (2015)]. Resurgence clearly identifies the nonhydrodynamic modes that are exponentially suppressed at late times, analogous to the quasinormal modes in gravitational language, organizing these modes in terms of a trans-series expansion. These modes are analogs of instantons in semiclassical expansions, where the damping rate plays the role of the instanton action. We show that this system displays the generic features of resurgence, with explicit quantitative relations between the fluctuations about different orders of these nonhydrodynamic modes. The imaginary part of the trans-series parameter is identified with the Stokes constant, and the real part with the freedom associated with initial conditions.