Analysis of a charged unidirectional perfect fluid gravitational collapse in cylindrical spacetime

The gravitational collapse of charged imperfect fluids (including the presence of strings) models the structural evolution of the Universe. The dynamics of a charged cylindrically symmetric spacetime investigates the effects of charge on the rate of gravitational collapse. In this respect, the Einstein–Maxwell equations are formed and solved to obtain the values of the dynamical parameters of the fluid including density, pressure and electric field. These parameters are graphically presented. It was concluded that the string tension effects all the physical parameters of the fluid. Moreover, the density and electric field intensity increases while the fluid’s pressure decreases near the time of singularity formation.     

Static perfect fluids with Pant-Sah equations of state

We analyze the 3-parameter family of exact, regular, static, spherically symmetric perfect fluid solutions of Einstein’s equations (corresponding to a 2-parameter family of equations of state) due to Pant and Sah and “rediscovered” by Rosquist and by the present author. Except for the Buchdahl solutions which are contained as a limiting case, the fluids have finite radius and are physically realistic for suitable parameter ranges. The equations of state can be characterized geometrically by the property that the 3-metric on the static slices, rescaled conformally with the fourth power of any linear function of the norm of the static Killing vector, has constant scalar curvature. This local property does not require spherical symmetry; in fact it simplifies the proof of spherical symmetry of asymptotically flat solutions which we recall here for the Pant-Sah equations of state. We also consider a model in Newtonian theory with analogous geometric and physical properties, together with a proof of spherical symmetry of the asymptotically flat solutions. Supported by grants FIS2006-05319 (Ministerio de Educación y Tecnología) and SA010C0 (Junta de Castillia y León).     

等离子体填充圆柱波导中双流不稳定性的研究

 在无限大磁场情况下对等离子体填充圆柱波导中双电子注的相互作用进行了理论分析,得出行列式形式的色散方程。针对不同参数对色散方程进行数值计算,发现当两根电子注之间存在速度差时,通过快慢空间电荷波的相互作用,两电子注引起的双流不稳定性可以产生契伦柯夫辐射;当等离子体频率超过双注相互作用的频率范围后,可以大大加强和改善等离子体、两电子注三者之间的相互作用。     

Gravitational collapse of dissipative fluid as a source of gravitational waves

Gravitational collapse of cylindrical anisotropic fluid has been considered in analogy with the work of Misner and Sharp. Using Darmois matching conditions, the interior cylindrical dissipative fluid (in the form of shear viscosity and heat flux) is matched to an exterior vacuum Einstein–Rosen space–time. It is found that on the bounding 3-surface the radial pressure of the anisotropic perfect fluid is linearly related to the shear viscosity and the heat flux of the dissipative fluid on the boundary. This non-zero radial pressure on the bounding surface may be considered as the source of gravitational waves outside the collapsing matter distribution.     

Inelastic interactions of electrons with cylindrical interfaces

A theory was developed to deal with inelastic interactions for an electron moving parallel to the axis of a cylindrical structure. Formulas for the differential inverse inelastic mean free path (DIIMFP) and the total inverse inelastic mean free path (IIMFP) were derived using dielectric response theory. A sum-rule-constrained extended Drude dielectric function with spatial dispersion was applied to calculate DIIMFPs and IIMFPs for a solid wire and a cavity in solid. The calculated results showed that surface excitations occurred as the electron moved near the boundary either inside or outside the solid, whereas volume excitations arose only for electron moving inside the solid. It was found that the probability for surface excitations increases and that for volume excitations decreases for an electron moving close to the surface. Near the surface, the decrease in volume excitations is compensated by the increase in surface excitations. For a cavity in solid, the IIMFP inside the solid can be approximated by a constant value equal to the IIMFP for the infinite solid, except in the immediate vicinity of the cavity boundary.     

Optical implementation of perfect shuffle using Billet lens

This paper presents an optical system to implement perfect shuffle network us-ing Billet lens.Optical perfect shuffle network of high density and large capacity can be real-ized in this system with higher optical efficiency.     

Effect of disturbance in perfect state transfer

The influence of the disturbance caused by the imperfection of the engineering coupling constants in the perfect state transfer is calculated. The results show that the fidelity for the perfect state transfer is seriously affected by the errors occurring near the input and output spins. Such results are helpful for the realization of the perfect state transfer in the case where there exist errors in experiments.     

The collapse point of interacting trails in two dimensions from kinetic growth simulations

We present simulational evidence that kinetic growth trails on the square lattice are equivalent to interacting trails at their collapse temperature. As a consequence we give values for most of the canonical exponents of the trail collapse transition: these are significantly different from those proposed for interacting walks. We can also interpret our results in terms of the equivalent Lorentz lattice gas and find that this model does not display diffusion, as has been previously thought. Rather, the mean square displacement grows ast logt in timet.     

Dynamic properties of phase diagram in cylindrical ferroelectric nanotubes

The dynamic properties of phase diagrams in cylindrical ferroelectric nanotubes were investigated by utilizing the effective-field theory with correlations. Three different structure mechanisms are discussed by performing three different interaction functions. Effects of structure factors of the ferroelectric nanotubes are shown in phase diagrams. A linear relation between the crossover value of transverse field in inner-layer of nanotube and the exchange interaction are revealed. Moreover, for the first time, the phase transition characteristics are shown both in 2-D and 3-D phase diagrams by comparing the variations of the ferroelectric region and the morphology vividly. In comparison, results of the usual mean-field approximation are also presented in some phase diagrams, it suggest that the differential operator technique with correlations reduces some extent of the ferroelectric features of the ferroelectric nanotube.     

Analytical and semi-analytical solutions to flows of two immiscible Maxwell fluids between moving plates

Unsteady flows of two immiscible Maxwell fluids in a rectangular channel bounded by two moving parallel plates are studied. The fluid motion is generated by a time-dependent pressure gradient and by the translational motions of the channel walls in their planes. Analytical solutions for velocity and shear stress fields have been obtained by using the Laplace transform coupled with the finite sine-Fourier transform. These analytical solutions are new in the literature and the method developed in this paper can be generalized to unsteady flows of n-layers of immiscible fluids. By using the Laplace transform and classical method for ordinary differential equations, the second form of the Laplace transforms of velocity and shear stress are determined. For the numerical Laplace inversion, two accuracy numerical algorithms, namely the Talbot algorithm and the improved Talbot algorithm are used.     

电子带宽对高速视频成像系统的限制

分析了高速视频成像系统的信息传递关系,从系统传递一定的信息量出发,得出其对电子系统带宽的要求;以靶场应用为对象,通过对满足测试需要的高速信息流量的分析计算,得出结论:在实际的电子线路和计算机处理技术的能力下,由于电子系统带宽的制约,高速视频成像尚不能完全取代传统的胶片式高速摄影系统.     

Purely axial vibration of thin cylindrical shells with shear-diaphragm boundary conditions

This work presents the free vibration characteristics of a thin walled cylindrical shell at the zeroth axial mode number. The cylindrical shell has shear-diaphragm boundary conditions at each end. The thin shell equations by Flügge are used as these equations of motion lead to more accurate results at low frequencies. The zeroth axial mode number is found to occur at the cut-on of the second class of waves. The mode shapes at these natural frequencies result in a purely axial displacement of the middle surface of the shell. High modal density for the first class of waves occurs before the cutting-on of the second class of waves. Beyond this frequency, the dynamic response is dominated by the latter modes.     

High-speed imaging of ultrasonic emulsification using a water-gallium system

Aiming at elucidating ultrasonic emulsification mechanisms, the interaction between a single or multiple acoustic cavitation bubbles and gallium droplet interface was investigated using an high-speed imaging technique. To our best knowledge, the moment of emulsification and formation of fine droplets during ultrasound irradiation were observed for the first time. It was found that the detachment of fine gallium droplets occurs from the water-gallium interface during collapse of big cavitation bubbles. The results suggest that the maximum size of cavitation bubble before collapsing is of prime importance for emulsification phenomena. Previous numerical simulation revealed that the collapse of big cavitation bubble is followed by generation of high-velocity liquid jet directed toward the water-gallium interface. Such a jet is assumed to be the prime cause of liquid emulsification. The distance between cavitation bubbles and water-gallium interface was found to slightly affect the emulsification onset. The droplet fragmentation conditions are also discussed in terms of the balance between (1) interfacial and kinetic energies and (2) dynamic and Laplace pressure during droplet formation.     

Wave-function collapse induced by thermal fluctuations of detector variables. statistical collapse of wave functions

We present a simple example where the wave-function collapse is realized by thermal fluctuations of detector variables. This mechanism for the wave-function collapse is essentially due to the indeterminacy of the initial internal-states of detectors by the thermal fluctuation. Two types of the collapse are shown: One is the mechanism of the collapse arising from the phase ambiguity of the initial detector state and another is that derived from the fluctuation of the number of particles in the detector actively working in single measurement process.     

检测柱透镜象差的全息干涉法

本文提出一种检测柱透镜象差的全息干涉法。文中详细介绍了全息干涉法的原理,具体实验以及有关调整问题。整个过程操作方便,光路按排简单。     

Non-adiabatic gravitational collapse of charged radiating fluid spheres

Dynamical equations governing the non-adiabatic collapse of a shear-free spherical distribution of unisotropic matter in the presence of charge are obtained. A brief outline of constructing a model describing collapse of a charged radiating fluid sphere in the set up developed is given.     

柱面微通道板的制备及其性能研究

针对未来空间天文学应用的超分辨率光谱成像仪器的需求,对低噪声柱面微通道板（MCP）的制备方法及其性能进行了研究. 提出了一种将光学抛光与热成型相结合的新的柱面MCP制备方法,利用不含放射性元素的低噪声MCP玻璃,制备出曲率半径为400mm、尺寸为30mm′46mm、长径比为80:1、通道直径12.5mm、通道间距15mm的柱面MCP,并将其与感应电荷楔条形阳极（WSA）组成光子计数探测器,对其暗计数率、分辨率进行了检测,暗计数率约为0.1counts/cm2×s.     

带缺口加强圈的圆柱壳屈曲特性分析

以低温液体罐车外筒体为原型,采用有限元方法研究了带缺口加强圈的圆柱壳的屈曲特性。着重考察了加强圈缺口间的夹角、加强圈之间的间距、边界条件对此类结构屈曲载荷的影响。计算结果表明:圆柱壳的屈曲载荷与加强圈缺口间夹角不是简单的线性关系,当加强圈缺口间夹角增大到一定程度后,圆柱壳的屈曲载荷几乎不再变化;加强圈布置的均匀度不但会影响到圆柱壳的屈曲载荷,同时也对其屈曲模态产生影响;在不同的边界条件下,圆柱壳也表现出不同的屈曲特性。     

Magnetic forces between arrays of cylindrical permanent magnets

Permanent magnet arrays are often employed in a broad range of applications: actuators, sensors, drug targeting and delivery systems, fabrication of self-assembled particles, just to name a few. An estimate of the magnetic forces in play between arrays is required to control devices and fabrication procedures. Here, we introduce analytical expressions for calculating the attraction force between two arrays of cylindrical permanent magnets and compare the predictions with experimental data obtained from force measurements with NdFeB magnets. We show that the difference between predicted and measured force values is less than 10%.