Non-axisymmetric, scale-free, razor-thin discs
Non-axisymmetric, scale-free, razor-thin discs
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非轴对称、无鳞、极薄的圆盘
DOI：
10.1093/mnras/281.3.925
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发表时间：
1996
影响因子：
4.8
通讯作者：
S. Tremaine
中科院分区：
文献类型：
--
作者：
D. Syer;S. Tremaine
半导体材料呈现出多种非轴对称结构（棒状、螺旋状、不平衡结构等）。这些建议以下一般问题：什么是可能的二维自引力流体的静态配置比轴对称剃刀薄盘？我们解决这个问题的一个温和的组成部分：我们寻求非轴对称剃刀薄盘的二维正压流体是固定在惯性系。我们区分“极薄”和“二维”，将后者应用于状态方程。此外，我们假设我们的系统是无标度的，这减少了描述系统的偏微分方程常微分方程。我们还允许存在一个轴对称的背景潜力。这个简单而高度理想化的问题已经有了丰富的解，其中最丰富的是m=1对称性。
Galaxies exhibit a variety of non-axisymmetric structure (bars, spiral structure, lopsided structure, etc.). These suggest the following general problem: what are the possible stationary configurations of a two-dimensional self-gravitating fluid other than an axisymmetric razor-thin disc? We address a modest component of this problem: we seek non-axisymmetric razor-thin discs of two-dimensional barotropic fluid that are stationary in an inertial frame. We distinguish between `razor-thin' and `two-dimensional,' applying the latter term to the equation of state. Furthermore we assume that our systems are scale-free, which reduces the partial differential equations describing the system to ordinary differential equations. We also allow for the presence of an axisymmetric background potential. This simple and highly idealized problem already exhibits a rich variety of solutions, the richest being for m=1 symmetry.