Gravitationally coupled scale-free discs
Gravitationally coupled scale-free discs
复制标题
重力耦合无垢圆盘
DOI:
10.1111/j.1365-2966.2004.08065.x
复制
发表时间:
2004
影响因子:
4.8
通讯作者:
Y. Lou
中科院分区:
文献类型:
--
作者:
Yue Shen;Y. Lou
In a composite fluid system of two gravitationally coupled barotropic scale-free discs bearing a rotation curve v ∝ r −β and a power-law surface mass density � 0 ∝ r −α with α = 1 + 2β ,w econstruct classes of coplanar stationary aligned and logarithmic spiral perturbation configurations in the two discs. Owing to the mutual gravitational interaction, there are two independent classes of perturbation modes, with surface mass density disturbances in the two coupled discs being either in phase or out of phase. We derive analytical criteria for such perturbation modes to exist and show numerical examples. We compute the aligned and spiral perturbation modes systematically to explore the entire parameter regime. For the axisymmetric m = 0 case with radial oscillations, there are two unstable regimes of ring fragmentation and Jeans collapse corresponding to short and long radial wavelengths, respectively. Only within a certain range of the rotation parameter D 2 (square of the effective rotational Mach number for the stellar disc) can a composite disc system be stable against all axisymmetric perturbations. Compared with a single-disc system, the coupled two-disc system becomes less stable against such axisymmetric instabilities. Our investigation generalizes the previous work of Syer & Tremaine on the single-disc case and of Lou & Shen on two coupled singular isothermal discs. Non-axisymmetric instabilities are briefly discussed. These stationary models for various largescale patterns and morphologies may be useful in the context of disc galaxies with bars and spirals or barred spirals. Ke yw ords: wave s‐ stars: formation ‐ ISM: general ‐ galaxies: kinematics and dynamics ‐ galaxies: spiral ‐ galaxies: structure.
DOI:
--
发表时间:
2005
期刊:
東京外国語大学論集 第71号
影响因子:
--
作者:
FURIHATA;Masashi;降幡 正志;降幡 正志;吉枝聡子;吉枝聡子;Satoko YOSHIE;Satoko YOSHIE
通讯作者:
Satoko YOSHIE