Connection of Screw Instability with Electric Current in an Accretion Disc around a Black Hole

The screw instability of the magnetic field is discussed based on its poloidal configuration generated by a single toroidal electric current flowing in the equatorial plane of a Kerr black hole （BH）. The rotation of the BH relative to the disc induces an electromotive force, which in turn results in a poloidal electric current. By using Ampere＇s law, we calculate the toroidal component of the magnetic field and derive a criterion for the screw instability of the magnetic field connecting the rotating BH with its surrounding disc. It is determined that the screw instability is related to two parameters： the radius of the disc and the BH spin. The occurrence of screw instability is depicted in a parameter space. In addition, we discuss the effect of the screw instability on magnetic extraction of energy from the rotating BH.     

Effects of Screw Instability on Extracting Energy from a Rotating Black Hole

Magnetic extraction of energy from a rotating black hole (BH) is discussed in the coexistence of the BlandfordZnajek (BZ) process and the magnetic coupling (MC) process by considering the effects of the screw instability of the magnetic field. It is shown that the screw instability affects the configuration of the magnetosphere and the evolution characteristics of the BH, augmenting the energy extracted in the BZ and MC processes. In addition, the observed energy and duration of several gamma-ray bursts can be fitted well by virtue of our model.     

Coexistence of Two Mechanisms for Extracting Energy from a Rotating Black Hole

Evolution characteristics of a rotating black hole (BH) are discussed in coexistence of the Blandford-Znajek (BZ) process and the magnetic coupling (MC) process in the parameter space consisting of the BH spin and the power-law index of the magnetic field on the disc. The condition for the coexistence of the two energy mechanisms are derived by using the mapping relation between the angular coordinate on the BH horizon and the radial coordinate on the disc. It is shown that not only the two mechanisms can coexist, but also the power and the rate of change of BH entropy in the BZ process will dominate over those in the MC process, provided that the BH spin and the power-law index are great enough.     

Parameter Space for Evolution of Black Hole Systems and Gamma—Ray Bursts

An analytical model of black hole(BH) evolution is proposed by considering the Blandford-Znajek process with a tansient magnetized accretion disc,which is used as a central engine for powering gamma ray bursts(GRBs),The state of BH evolution can be described by the representative points in the corresponding sub-regions of a parameter space.It is shown that the BH spin might be spun up rather than slowed down.provided that the ratio of the angular velocity of the magnetic field lines to that of the BH horizon is greater than a critical value.In addition,the effects of some initial values of the BH system on the evolution terminals and the output energy for GRBs are discussed in the parameter space.     

The instability conditions of a gas trapped in weak weakly interacting Fermi magnetic field

In this paper the analytical expression of free energy expressed by small parameter r of a weakly interacting Fermi gas trapped in weak magnetic field is derived by using `the maximum approximation' method and the ensemble theory. Based on the derived expression, the exact instability conditions of a weakly interacting Fermi gas trapped in weak magnetic field at both high and low temperatures are given. From the instability conditions we get the following two results. (1) At the whole low-temperature extent, whether the interactions are repulsive or attractive with (ɑn + 4\varepsilon_F/3) (n and \varepsilon _F denote the particle-number density and the Fermi energy respectively, ɑ= 4π a\hbar_F/ m, and a is s-wave scattering length) positive, there is a lower-limit magnetic field of instability; in addition, there is an upper-limit magnetic field for the system of attractive interactions with (ɑ n + \varepsilon_F/3) negative. (2) At the whole high-temperature extent, the system with repulsive interactions is always stable, but for the system with attractive interactions, the greater the scattering length of attractive interactions | a | is, the stronger the magnetic field is and the larger the particle-number density is, the bigger the possibility of instability in the system will be.     

Numerical investigation of separation-induced transition in a lowpressure turbine cascade in a low-disturbance environment

In this paper,the separation-induced transition in an LPT(low-pressure turbine)cascade is investigated at low Reynolds number with DNS(direct numerical simulation).The transition process is accurately predicted giving good agreements between the DNS and experimental results.To illustrate the secondary instability of separation-induced transition in a low-disturbance environment,the results are comprehensively analyzed in both Fourier space and physical space.It is illustrated that the effect of hyperbolic instability dominates around the saddle point of hyperbolic streamlines.This instability mechanism is responsible for the emergence of the streamwise vortices in the braid region.Elongated and intensified because of the“stretching”effect of the background flow,these vortices become the most noticeable characteristic of the flow field.Fundamental modes of small spanwise wavelength are excited in the braid region,so as some low-frequency modes.The elliptical instability plays a minor role than hyperbolic instability.It is also observed that the fundamental mode with a larger spanwise wavelength is unstable in the vortex core which is associated with the deformation of the vortex core via elliptical instability.There is no convincing evidence for the existence of subharmonic instability.     

Evolution of local ideal helical perturbations in cylindrical plasma

The evolution of a local helical perturbation and its stability property for arbitrary magnetic shear configurations are investigated for the case of in cylindrical geometry. An analytic stability criterion has been obtained which predicts that a strong magnetic shear will enhance the instability in the positive shear region but enhance the stability in the negative shear region. The perturbations with the poloidal and toroidal perturbation mode numbers m/n=1/1 is most unstable due to the stabilizing terms increasing with m. For m/n=1/1 local perturbations in the conventional positive magnetic shear (PMS) configurations, a larger q_{min} exhibits a weaker shear in the core and is favourable to the stability, while in the reversed magnetic shear (RMS) configurations, a larger q_0 corresponds to a stronger positive shear in the middle region, which enhances the instability. No instabilities are found for m≥2 local perturbations. The stability for RMS configuration is not better than that for PMS configuration.     

Energy Extraction from a Black Hole and Its Influence on X-Ray Spectra

The famous jet production mechanism, i.e. the Blandford and Znajek （BZ） process, has realized the idea proposed by Penrose that the rotational en- ergy of a black hole （BH） could be extracted from the ergosphere. In the BZ process, large-scale magnetic fields connecting the BH horizon and the remote as- trophysical load can extract the energy and angular momentum of the rotating BH in the form of electro- magnetic energy. The BZ mechanism was successful in explaining astrophysical jets and was widely used in high energy astrophysics. As a variation of the BZ process, the magnetic connection （MC） between the BH horizon and the accretion disk, namely, the MC process, was later discussed by researchers. Li discovered that the extractable energy of an extreme Kerr BH in the MC process can reach ～0.15Mc2, which is higher than that in the BZ process, where M is the BH mass and c is the light speed. In recent years, some astrophysical phenomena observed in BH systems, such as broad iron emission lines and high frequency quasi-periodic oscillations （QPOs）, re- veal the importance of the MC process. How- ever, we are still interested in how the extracted en- ergy is dissipated in the inner accretion disk and how it affects the accretion flow and the x-ray spectrum remains unclear.     

Study of Electron Temperature Gradient Instability in Toroidal Plasmas with Negative Magnetic Shear

In this paper, the electron temperature gradient （ETG） instability and corresponding turbulent transport in toroidal plasmas with negative magnetic shear is studied using the integral eigenvalue equations. The full electron kinetics is considered and the behaviours of the modes and the transport in the parameter regimes close to the instability threshold are emphasized. The fitting formulas of the critical gradient, for negative magnetic shear, are given.     

Nested grazing incidence optics for x ray detection

Grazing incidence optics(GIO) is the most important compound in an x-ray detection system; it is used to concentrate the x-ray photons from outer space. A nested planar GIO for x-ray concentration is designed and developed by authors in this paper; planar segments are used as the reflection mirror instead of curved segments because of the simple process and low cost. After the complex assembling process with a special metal supporter, a final circle light spot of φ12 mm was obtained in the visible light testing experiment of GIO; the effective area of 1710.51 mm2@1 ke V and 530 mm2@8 ke V is obtained in the x-ray testing experiment with the GIO-SDD combination, which is supposed to be a concentrating detector in xray detection systems.