长期共振缀饰轨道扩散II：应用于孤立的自相似微温星系盘
Secular resonant dressed orbital diffusion II : application to an isolated self similar tepid galactic disc
摘要：
利用角作用量变量下的Dressed Fokker-Planck形式，得到了孤立自引力恒星Mestel盘长期演化的主要轨道特征。在WKB极限的紧绕瞬态螺旋线中，对于不温不火的Toomre稳定锥形盘，恢复了散粒噪声驱动的共振轨道窄脊的形成。依次研究了核球、核晕、盘温和散粒噪声谱特性的相对影响。对于这样的星系盘，所有的元素似乎都影响着脊的轨迹和方向。例如，当晕质量减少，我们观察到的制度之间的过渡加热的内部区域的磁盘通过内部Lindblad共振的准圆形轨道的径向迁移的制度，通过在外部的光盘的共转共振。着装的世俗形式主义捕捉到了无碰撞系统的本质（通过它们的固有频率和磁化率），以及通过外部扰动功率谱的结构来培育它们。因此，它提供了一个理想的框架，在其中研究他们的长期演变。
英文摘要：
The main orbital signatures of the secular evolution of an isolated self-gravitating stellar Mestel disc are recovered using a dressed Fokker-Planck formalism in angle-action variables. The shot-noise-driven formation of narrow ridges of resonant orbits is recovered in the WKB limit of tightly wound transient spirals, for a tepid Toomre-stable tapered disc. The relative effect of the bulge, the halo, the disc temperature and the spectral properties of the shot noise are investigated in turn. For such galactic discs all elements seem to impact the locus and direction of the ridge. For instance, when the halo mass is decreased, we observe a transition between a regime of heating in the inner regions of the disc through the inner Lindblad resonance to a regime of radial migration of quasi-circular orbits via the corotation resonance in the outer part of the disc. The dressed secular formalism captures both the nature of collisionless systems (via their natural frequencies and susceptibility), and their nurture via the structure of the external perturbing power spectrum. Hence it provides the ideal framework in which to study their long term evolution.
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