离散自引力微温盘III中的长期扩散。紧缠绕极限的共振增厚
Secular diffusion in discrete self-gravitating tepid discs III. Resonant thickening in the tightly wound limit
摘要：
利用非齐次多分量Balescu-Lenard方程研究了离散自引力银盘的长期增厚。厚WKB的扩散和漂移系数的限制，发现使用周转近似，同时假设只有径向紧密缠绕的瞬态螺旋持续的光盘。这产生一个简单的双正交的漂移和扩散系数，提供了一个清晰的理解的位置，最大的垂直轨道扩散内的光盘引起的有限数量的粒子的影响。当应用到一个不温不火的稳定锥形盘，Balescu-Lenard形式主义预测形成的脊共振轨道朝向更大的垂直行动，发现在直接的数值模拟，但高估的时间尺度参与其外观。旋臂放大器可能需要解决这种差异，如刀片薄光盘的情况下所示。巨大的分子云人口在光盘的联合发展可能会加速长期光盘的增厚有限${-N}$的影响，但在银河系中观测到的云的数量似乎不足以解释其厚盘。
英文摘要：
The secular thickening of a discrete self-gravitating galactic disc is investigated using the inhomogeneous multi-component Balescu-Lenard equation. The thick WKB limit for the diffusion and drift coefficients is found using the epicyclic approximation, while assuming that only radially tightly wound transient spirals are sustained by the disc. This yields a simple double quadrature for the drift and diffusion coefficients, providing a clear understanding of the positions of maximum vertical orbital diffusion within the disc induced by the effects of a finite number of particles. When applied to a tepid stable tapered disc, the Balescu-Lenard formalism predicts the formation of ridges of resonant orbits towards larger vertical actions, as found in direct numerical simulations, but over-estimates the timescale involved in their appearance. Swing amplication is likely needed to resolve this discrepancy, as demonstrated in the case of razor-thin discs. The joint evolution of a population of giant molecular clouds within the disc may accelerate the secular disc's thickening induced by finite${-N}$ effects, but the observed number of clouds in the Milky Way does not seem to be sufficient to explain its thick disc.
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