超轻标量介质中的动力学摩擦：相干与随机机制
Dynamical Friction in an Ultralight Scalar Medium across Coherent and Stochastic Regimes
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- University of South Dakota（南达科他大学）
- Carnegie Mellon University（卡内基梅隆大学）
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中文总结 AI 辅助
研究超轻标量介质中双星系统的动力学摩擦，推导力与能量通量表达式，揭示红外发散根源及相干与随机机制下的尺度层级和通量涨落。
中文摘要 AI 辅助
我们研究了牛顿双星系统与非相对论性超轻标量介质相互作用时所受到的保守力和耗散力。我们推导了由一般背景场的尾迹扰动所产生的瞬时力和轨道平均能量通量的积分表达式。对于均匀相干背景，保守力存在众所周知的红外发散。我们将这一发散追溯到关于常数标量态的微扰理论的失效，并确定了均匀近似失效的引力玻尔尺度。在长波长区域，介质中的主要耗散是四极性的，我们得到了偏心双星系统主导能量通量的显式表达式。在短波长区域，我们识别出动量空间中的一个局域“硬”区域，它产生普适的库仑对数，而非对数贡献仍依赖于轨道。随后，我们将背景推广为具有一般速度分布的随机系综。三个独立的长度尺度，连同推导出的几何平均尺度，产生八种不同的尺度层级，我们对其系综平均响应进行了表征。最后，我们推导了轨道平均能量通量的两点关联函数，并在“相干响应”区域对其进行了评估。波干涉产生量级为1的密度涨落，因此单个实现中的通量可能与其系综平均值存在显著差异。
英文摘要
We study the conservative and dissipative forces on a Newtonian binary interacting with a nonrelativistic ultralight scalar medium. We derive integral expressions for the instantaneous force and the orbit-averaged energy flux generated by wake perturbations of a general background field. For a homogeneous coherent background, the conservative force suffers from a well-known infrared divergence. We trace this divergence to the failure of perturbation theory about a constant scalar state and identify the gravitational Bohr scale at which the homogeneous approximation breaks down. In the long-wavelength regime, the leading dissipation into the medium is quadrupolar, and we obtain an explicit expression for the leading energy flux from an eccentric binary. In the short-wavelength regime, we identify a local ''hard'' region in momentum space that produces a universal Coulomb logarithm, while the nonlogarithmic contribution remains orbit dependent. We then promote the background to a stochastic ensemble with a general velocity distribution. Three independent length scales, together with a derived geometric-mean scale, produce eight distinct scale hierarchies, for which we characterize the ensemble-mean response. Finally, we derive the two-point correlation function of the orbit-averaged energy flux and evaluate it in ''coherent-response'' regimes. Wave interference produces order-unity density fluctuations, so the flux in an individual realization can differ substantially from its ensemble mean.
