A numerical solution of the dynamical instability of a thin accretion torus     

Liu Ren-jie  Wang De-yu 《Chinese Astronomy and Astrophysics》1995,19(4):507-512

We consider the non-axisymmetric, dynamical instability of a thin accretion torus with a non-zero shift of corotation radius. By numerical method we evaluated the wave number dependence of the linear rate of growth of instability and the co-rotation shift. The rate of growth is only slightly affected by the non-zero co-rotation shift, while the dispersion relation in the case of a shift is the same as that of the linear KdV equation. This shows that the “planet-like” solution found in numerical simulations of thin tori is very probably analogous to the soliton solution of the KdV equation.  相似文献   

A Two—Temperature Supernova Fallback Disk Model for Anomalous X—ray Pulsars     

Ye Lu  K. S. Cheng National Astronomical Observatories  Chinese Academy of Sciences  Beijing Department of Physics  University of Hong Kong  Hong Kong  China 《中国天文和天体物理学报》2002,2(2):161-168

We present a case study of the relevance of the radially pulsational instability of a two-temperature accretion disk around a neutron star to anomalous X-ray pulsars (AXPs). Our estimates are based on the approximation that such a neutron star disk with mass in the range of 10^-6-10^-5M⊙ is formed by supernova fallback. We derive several peculiar properties of the accretion disk instability: a narrow interval of X-ray pulse periods; lower X-ray luminosities; a period derivative and an evolution time scale. All these results are in good agreement with the observations of the AXPs.  相似文献   

On Motions Near the Lagrange Equilibrium Point L 4 in the Case of Routh's Critical Mass Ratio     

Boris Bardin 《Celestial Mechanics and Dynamical Astronomy》2002,82(2):163-177

We deal with the planar restricted circular problem of three bodies. We study trajectories in a small neighborhood of the Lagrange equilibrium point L ₄ when mass ratio is close to Routh's value. In particular, we show that the case of proper degeneracy takes place and for most initial conditions trajectories are conditionally-periodic. We obtain an approximate representation of families of periodic solution emanating from the equilibrium point L ₄. We also show that in the case of instability of L ₄ the trajectories starting in a vicinity of L ₄ remain in a finite domain forever. We give an upper bound of this domain. To carry out our investigation, we analyze the dynamics of a general Hamiltonian system with two degrees of freedom in the case of 1 : 1 resonance in detail.This revised version was published online in October 2005 with corrections to the Cover Date.  相似文献   

Plasma instability at the inner edge of the accretion disk— II     

S. C. Tripathy  C. B. Dwivedi  A. C. Das  A. R. Prasanna 《Journal of Astrophysics and Astronomy》1993,14(3-4):167-179

A two-dimensional instability analysis for a magneto-keplerian disk flow around a compact object is presented here. Using the eigenvalue technique, linearly coupled perturbed equations have been numerically solved within the local approximation. It is concluded that Kelvin-Helmholtz, magnetosonic (fast and slow) and resistive electromagnetic modes exist. However, only the magnetosonic mode can destabilise the disk structure. Further, we discuss the properties of different modes as a function of disk parameters and plot the eigenmode structures for different physical quantities.  相似文献   

Plasma instability at the inner edge of the accretion disk—I     

S. C. Tripathy  C. B. Dwivedi  A. C. Das  A. R. Prasanna 《Journal of Astrophysics and Astronomy》1993,14(2):103-114

In this paper, the analytical and numerical results of the stability analysis of the accretion disk at the inner boundary is presented. Including the effect of finite conductivity in the disk dynamics, a simple calculation considering only the radial perturbation has been carried out. Within local approximation, it is concluded that the disk is stable to Kelvin-Helmholtz and resistive electromagnetic modes whereas the magnetosonic mode can destabilise the disk structure.  相似文献   

K-H Instability of Dust Plasma     

Shi Zhi-dong  Li Zhong-yuanUniversity of Science  Technology of China  Hefei    PRC Advanced Centre for Earth Science  Astronomy  Third World Academy of Science 《紫金山天文台台刊》1996,(2)

Areview about K-H instability related to comet tail is presented.The effect of dust graing on KHI is theoretically analysed and relations of critical shear to excit KHI with the properties of dust grains both for sheared ion flow and for sheared dust flow re put out.Their possible application in comet tail is suggested.  相似文献   

饱和粉砂不稳定性的试验研究   总被引：3，自引：0，他引：3  

符新军  赵仲辉 《岩土力学》2008,29(2):381-385

通过对净砂和级配良好粉砂(含10 %粉土)进行一系列三轴固结不排水试验（CU）,研究了粉土、孔隙比和围压对饱和粉砂不稳定性的影响。试验结果表明,净砂与粉砂在不排水剪切条件下均会出现应变软化现象（即不稳定性）。同一围压下脆性指数(IB)随孔隙比增加,但不稳定线的应力比随孔隙比增加而减小。引用等效粒间孔隙比(ege)后,净砂和粉砂在ege-ln p?平面上拥有基本相同的临界状态线。在临界状态理论及等效粒间孔隙比的基础上,提出在同一修正状态参数(?ge)下净砂和级配良好粉砂有相似的不稳定性。  相似文献   

Experimental decipherment of the soft-sediment deformation observed in the upper part of the Talchir Formation (Lower Permian), Jharia Basin, India     

Prabir Dasgupta   《Sedimentary Geology》2008,205(3-4):100-110

Four types of soft-sediment folds of distinct geometry can be recognized in the upper part of the Talchir Formation (Lower Permian) of Jharia Basin, India. These folds, on systematic examination, indicate some events of progressive deformation. Experimental study reveals that if a layered stack of clay and overlying sand is allowed to flow slowly down a slope, differential velocity due to viscosity contrast leads to the deformation of the rheologic interface. The sharp planar contact gradually becomes wavy leading to the development of round-hinged folds involving sediments adjacent to it. With the advancement of the flow these folds gradually become overturned with the rotation of the axial plane in the direction of flow. Computer simulation suggests that progressive deformation of these folds by simple shearing may lead to the formation of tight isoclinal folds, which on dislocation along intrastratal normal faults may lead to the development of rootless isoclinal folds. The sheath folds observed in the studied section also indicate accentuation of the curved hinge due to simple shearing. The spatial distribution of these fold types in conjunction with the inferred direction of progressive deformation indicate basinward translation of the slump slice. If the same stack of sediments rapidly flows down the slope, the waveform generated at the interface quickly breaks in the form of roll-up recumbent fold due to Kelvin–Helmholtz instability.  相似文献   

关于业务上应用条件对称不稳定相关问题的讨论   总被引：1，自引：0，他引：1  

章丽娜  周小刚  夏扬 《气象学报》2018,76(5):824-832

条件对称不稳定（CSI）理论常常被用来作为倾斜对流的发展机制之一,在业务上常用来解释与锋面相联系的一条或多条中尺度雨带、雷达图像上观测到的带状雨带的成因等。条件对称不稳定的诊断包括CSI斜率判据、斜升对流有效位能（SCAPE）、湿对称不稳定（MSI）、相当位涡（EPV）等判据。业务预报人员存疑较多的问题是这些方法是否具有一致性并在业务上如何使用。针对上述问题,首先通过与业务预报人员较熟悉的条件不稳定类型作类比,来说明条件对称不稳定两种判据与条件不稳定两种判据的相似性。但在业务使用上,判别条件对称不稳定时多使用CSI斜率判据,即等动量面的坡度大于等位温面坡度而小于等湿球位温面坡度。由于条件对称不稳定通常出现在大气处于几乎饱和的情况下,此时的CSI斜率判据则演变为湿对称不稳定判据,即等动量面坡度小于等湿球位温面坡度。为判别相当位涡与湿对称不稳定判据是否具有一致性,文中的推导和实例分析均表明,二维相当位涡实际上是湿对称不稳定判据的另一种表现形式,但是湿对称不稳定判据需主观去比较等相当位温面与等动量面斜率大小,而二维相当位涡则可通过其是否小于0进行客观判断。需注意的是,在与推导条件对称不稳定斜率判据相同的二维坐标下,相当位涡与湿对称不稳定判据才具有一致性,将相当位涡扩展到常规坐标下使用三维相当位涡作为湿对称不稳定判据是不可取的。   相似文献   

东亚地区南北两个风暴源地中风暴的结构和动力学差异     

赵远冰  梁湘三  朱伟军 《气象学报》2018,76(5):663-679

基于欧洲中心中期天气预报再分析资料(ERA-40),使用涡旋追踪和合成技术、多尺度子空间变换以及局地多尺度能量分析方法研究了东亚地区南北两个风暴源地中风暴的差异。结果发现,南、北两个源地风暴在结构上和内部动力过程上均存在着显著不同。南支源地(40°N以南)风暴底层比高层强,与线性斜压模式中的最不稳定模态结构相似;而北支源地(40°N以北)风暴则正好相反,与下游发展理论所描述的斜压波结构相似。并且发现,南支源地风暴的非地转风场比北支源地风暴的强。能量学诊断结果显示,南支源地风暴的能量源除了斜压不稳定外,有很大一部分来自正压不稳定,而北支源地风暴中则是存在弱的动能逆尺度传输。此外,南支源地风暴的浮力转换和非绝热做功均比北支源地风暴的强,其主要原因是南支源地风暴的垂直运动更强,风暴中的水汽更加充足。   相似文献