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arXiv 1504.04828astro-ph.GA
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长期共振缀饰轨道扩散I:方法和微温盘的WKB极限

Secular resonant dressed orbital diffusion I : method and WKB limit for tepid discs

Jean-Baptiste Fouvry, Christophe Pichon, Simon Prunet

摘要:

在假定自引力无碰撞系统的长期演化时间尺度远大于系统的固有频率的情况下,导出了描述系统在外界扰动下的长期扩散方程.它的二维表述为一个温热的星系盘也推导出使用周转近似。它的WKB极限被发现,而假设只有紧密缠绕的瞬态螺旋持续的光盘。它产生了一个简单的正交扩散系数,提供了一个简单的理解的最大扩散内光盘的轨迹。

英文摘要:

The equation describing the secular diffusion of a self-gravitating collisionless system induced by an exterior perturbation is derived while assuming that the timescale corresponding to secular evolution is much larger than that corresponding to the natural frequencies of the system. Its two dimensional formulation for a tepid galactic disc is also derived using the epicyclic approximation. Its WKB limit is found while assuming that only tightly wound transient spirals are sustained by the disc. It yields a simple quadrature for the diffusion coefficients which provides a straightforward understanding of the loci of maximal diffusion within the disc.

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