论文标题

在模糊的暗物质光环中放松。 ii。自吻动力学方程

Relaxation in a Fuzzy Dark Matter Halo. II. Self-consistent kinetic equations

论文作者

Bar-Or, Ben, Fouvry, Jean-Baptiste, Tremaine, Scott

论文摘要

模糊的暗物质(FDM)由具有de Broglie波长的超光玻色子组成,与典型的银河速度下星系恒星成分的大小相当。 FDM在大尺度上的表现就像冷暗物质一样。然而,在de Broglie波长的规模上,FDM光环表现出导致松弛的密度波动,这一过程类似于经典的重力N体系统中发生的两体松弛,并由Fokker-Planck方程描述。我们得出了该动力学方程的FDM类似物,并求解它以在空间均匀的FDM光环中找到速度分布的演变。我们还确定了FDM光环中线性波的介电函数和分散关系。

Fuzzy dark matter (FDM) is composed of ultra-light bosons having a de Broglie wavelength that is comparable to the size of the stellar component of galaxies at typical galactic velocities. FDM behaves like cold dark matter on large scales. However, on the scale of the de Broglie wavelength, an FDM halo exhibits density fluctuations that lead to relaxation, a process similar to the two-body relaxation that occurs in classical gravitational N-body systems and is described by the Fokker-Planck equation. We derive the FDM analog of that kinetic equation, and solve it to find the evolution of the velocity distribution in a spatially homogeneous FDM halo. We also determine the dielectric function and the dispersion relation for linear waves in an FDM halo.

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