论文标题
站立的孤立波作为重力不稳定磁盘中螺旋结构的过渡
Standing solitary waves as transitions to spiral structures in gravitationally unstable accretion disks
论文作者
论文摘要
足够冷且密集的天体物理磁盘与磁盘的重力导致轴对称环形成线性不稳定。实际上,形成螺旋结构,这可能又可能产生结合的碎片。我们研究了一种非线性动力学路径,该路径可以解释在重力不稳定分叉的亚临界侧的局部模型中螺旋的发展。轴对称平衡可以是径向周期性的或局部的,以站立的孤立波的形式。孤立解决方案的能量比光滑的磁盘略大。它们对具有广泛方位角波数的非轴对称扰动进一步不稳定。孤立的波可以充当螺旋和破碎的途径。
Astrophysical disks that are sufficiently cold and dense are linearly unstable to the formation of axisymmetric rings as a result of the disk's gravity. In practice, spiral structures are formed, which may in turn produce bound fragments. We study a nonlinear dynamical path that can explain the development of spirals in a local model of a gaseous disk on the subcritical side of the gravitational instability bifurcation. Axisymmetric equilibria can be radially periodic or localized, in the form of standing solitary waves. The solitary solutions have an energy slightly larger than a smooth disk. They are further unstable to non-axisymmetric perturbations with a wide range of azimuthal wavenumbers. The solitary waves may act as a pathway to spirals and fragmentation.