Double layers of H2 adsorption on an AlN sheet induced by electric field

In this paper, we propose an original functional method that makes it easy to determine the effect of any deviation in the shape of a nano-object from the well-studied shape (e.g., spherical) on the quantum characteristics of charge localized inside the nano-object. The maximum dimension of the object is determined by the magnitude of influence of quantum-size effects on quantum states of charge, and is limited by 100?nm. This method is ideologically similar to the perturbation theory, but the perturbation of the surface shape, rather than the potential, is used. Unlike the well-known variational methods of theoretical physics, this method is based on the assumption that the physical quantity is a functional of surface shape. Using the method developed, we present the quantum-size state of charges for two different complex shapes of nano-objects. The results from analyzing the quantum-size states of charge in the nano-objects with a deformed spherical shape indicated that the shape perturbations have a larger effect on the probability density of locating a particle inside the nano-object than on the surface energy spectrum and quantum density of the states.     

导体与点电荷之间的相互作用能的一点讨论

不带电荷的导体移到点电荷的静电场中时,导体表面会产生感应电荷.我们证明对任意形状的导体,导体和点电荷之间的相互作用能是点电荷与其镜象电荷之间库仑作用能的1/2,并且对此结果给出一个非常简单的解释.     

Focus evolution of Gaussian beam induced by phase plate

In this article, vector diffraction theory is employed to investigate the focusing properties of the Gaussian beam through a phase plate. The phase plate may alter the wavefront phase of an incoming beam by topological charge. Both the circular phase distribution and the annular phase distribution plates are investigated. Numerical simulations show that the focal intensity distribution depends on topological charge. With changing topological charge, focal intensity distribution may evolve into ring shape, and some novel focal spots may occur. Focal intensity distribution evolving process with integer topological charge differs considerably from that with fraction topological charge. When the concentric annular phase plate is placed in the laser path, the focal intensity distribution depends on both the inner radius and topological charge. For small inner radius of the phase plate, doughnut-shape focal pattern occurs. With increasing inner radius, the diameter of the doughnut focal pattern decreases, and doughnut shape disappears slowly in some cases.     

Gradient force evolution of Gaussian beam induced by a phase plate

The evolution of gradient force pattern induced by an annular phase distribution plate is numerically investigated in this paper. The phase plate, which may alter the wavefront phase of incident Gaussian beam with tunable topological charge, consists of two concentric portions, one center circle portion and one annular portion. Numerical simulations show that the proposed plate can induce the tunable gradient force on the particles in the focal region. By adjusting the geometrical parameters or changing the topological charge of the phase-shifting plate, some novel trap patterns may occur, such as triangle shape trap, quadrangle shape trap, pentagon shape trap, hexagon shape trap, and the shapes of optical traps change very considerably. Therefore, the phase plate may be very advantageous for constructing tunable optical traps. The method is more versatile in that it allows precise control of the parameters and has the possibility of generating specific patterns of optical vortices. The gradient force pattern focal of intensity distribution depends on both the annular width and the topological charge.     

Experimental observation of tangent-azimuthal non-spiral optical vortex

Optical vortices have attracted much attention recently due to their novel properties and widening applications. And lots of optical vortices can be obtained though most of them turn on spiral pattern on increasing azimuthal angle. In this paper, one kind of non-spiral optical vortex was proposed whose front phase distribution is tangent function of azimuthal angle. And this kind of optical vortices were also observed experimentally by computer-generated hologram method. It was found that when topological charge is smaller than unit one, vortex beam shape changes considerably on increasing topological charge, from hollow pattern to curve shape. When topological charge is bigger than unit and is times of 0.5, vortex beam turns symmetrical polygonal pattern though there is crack between adjacent sides, and the side number is twice of topological charge.     

Nonlinear vibrations of a charged drop in an electrostatic suspension

The problem of nonlinear vibrations of a charged drop of an ideal incompressible conducting fluid in an electrostatic suspension is analytically solved in an approximation quadratic in two small parameters: vibration amplitude and equilibrium deformation of the shape of the drop in an electrostatic field. To solve the problem analytically, the desired quantities are expanded in semiinteger powers of the small parameters. It is shown that the charge of the drop and the gravitational field influence the shape of the drop, nonlinear corrections to the vibration frequencies, and critical conditions for instability of the drop against the surface charge. At near-critical values of the charge, the shape of the nonlinearly vibrating drop falls far short of being a sphere or a spheroid, which should be taken into account in treating experimental data.     

On the equilibrium shapes of a conducting drop in a uniform and nonuniform electric field

The equilibrium shape of a drop in the electrostatic field of a point charge and a point dipole is asymptotically calculated in terms of the dimensionless deformation of the shape and a ratio between the drop’s radius and the distance to the point charge (dipole). Irrespective of the degree of nonuniformity of the field, the prolate spheroidal deformation (typical of the uniform field) is shown to be the main reason for the change in the equilibrium shape of the spherical drop. When the nonuniformity of the field grows, the equilibrium shape becomes more and more asymmetric and different from the spheroidal one. This, all other things being equal, may influence the critical conditions for the instability of the drop’s surface against an induced charge. It follows from the aforesaid that the drop in the field of the dipole will be the first to undergo instability with the electrostatic pressure on the drop being the same.     

Theory of optical spectra involving charge transfer states: dynamic localization predicts a temperature dependent optical band shift

The influence of charge transfer states on the optical line shape of chromophore complexes is investigated in a minimal model that includes a coupling between an excited state and an optically dark charge transfer state. In the calculations of the absorption spectrum, an intensity borrowing by the charge transfer state, strong vibrational sidebands, and a temperature dependent shift of optical transitions are obtained. The theory is applied to the bacterial photosynthetic reaction center to explain a 30 nm blueshift of the low-energy absorption band with increasing temperature.     

介观电子谐振腔量子能谱与能量的量子涨落

针对介观电子谐振腔模型,在由电荷算符本征态构成的新Fock空间中,假设系统具有变换的对称性,通过求解Hamilton算符的本征值方程,给出系统的量子能谱关系.在电荷算符的Fock态下计算能量的量子涨落,分析和研究电子谐振腔的量子能谱性质.结果表明:类似于电荷的量子性,能谱明显地呈现出离散性,其大小决定于谐振腔的电参量、形状因子及栅极所加偏压等因素;而能量的量子涨落却仅与电荷量子、Planck常数以及系统自感有关.     

On negative-phase-velocity propagation in the ergosphere of a charged rotating black hole

After adopting a noncovariant approach, we found that the propensity of a rotating black hole to support the propagation of electromagnetic plane waves with negative-phase-velocity (NPV) in its ergosphere is highly sensitive to the presence of charge. The change in shape and size of the ergosphere induced by increasing the black hole's charge gives rise to increased possibilities for NPV propagation. At a fixed ergosphere surface, increasing the black hole's charge concentrates the NPV-supporting regions towards the ergosphere's equator.     

Nonlinear analytical calculation of the equilibrium shape of a charged drop uniformly accelerated in an electrostatic field

An analytical asymptotic expression for the equilibrium shape of a charged drop of an ideal incompressible conducting liquid uniformly accelerated in collinear electrostatic and gravitational fields is derived in an approximation quadratic with respect to the deviation of the equilibrium shape of the drop from a sphere. It is found that the equilibrium shape of the drop is close to a prolate spheroid when its self-charge and the external electric field strength are far from their values critical in terms of instability against the self-charge and induced charge. This spheroid experiences an insignificant pear-shaped distortion even when the charge of the drop and the electrostatic field strength are high.     

Determination of the shape of a binary object by means of chosen initial phases and Sayre's equation

The binary object treated is a square. We first use a set of initial phases to determine the symmetry of the object. The result shows a well-shaped image, and preserves symmetry of the object. We then use another set of initial phases. The result has gross shape of a square with approximately correct dimensions. Sayre's equation is applied to refine the gross shape. After iterations, the result shows an image which is close to a square with sharp boundary and has approximately correct dimensions. The charge densities of the image are approximately evenly distributed, scattering about the value of 1, and has no negative charge density. The shape of the binary object is obtained. The initial phases or the gross shape can be used as starting phases or starting envelope in other iterative algorithms.     

Molecular orbital theory and the assignment of charge transfer transitions

A survey of the present situation in the analysis of charge transfer transitions is given. The possibilities of the combinations of observable characteristics of charge transfer bands such as energy, intensity (including polarisation in a non-cubic system), band shape (including vibrational structure if resolved) and angular momentum properties by deriving molecular eigenvectors and by theoretical elaboration of experimental data of great number of halides and oxides are demonstrated.     

柱形装药水中爆炸气泡的形态演变

 采用高速摄影方法在实验水箱中获得了长径比为3.35~6.75的柱形PETN炸药水中爆炸气泡脉动的图像,进而结合真实的爆轰过程和Rayleigh气泡运动方程,研究了气泡的形态演变规律。研究结果表明,柱形装药在水中爆炸时,形成的初始气泡的形状为非球对称形,这种非对称特征随长径比的增加而增大。气泡表面的运动也表现出明显的非球对称特征,气泡表面在装药径向的膨胀运动呈指数衰减,在装药轴向两端的膨胀运动更接近于分段线性衰减。气泡表面的不对称运动与柱形装药水下爆炸的能量输出结构不均有关,与冲击波的有效能量分布规律是相似的。     

Thermoluminescence in systems not subject to the usual approximations for first and second order kinetics

The properties of thermoluminescence (TL) glow curves have been studied in systems, containing one or more glow peaks, not restricted to the assumptions used to derive the usual first and second order glow peak kinetic expressions. If retrapping is negligible first order glow peaks are obtained whose peak temperature and shape are independent of other factors such as initial trapped charge concentrations. If retrapping occurs, glow peaks are obtained that are, in most cases, only approximated by first or second order kinetics. Also, in these cases the peak temperature, shape, relative intensity and other glow curve characteristics depend strongly on initial trapped charge concentrations, recombination and retrapping cross sections and other factors.     

Spontaneous Fission Barriers Based on a Generalized Liquid Drop Model

The barrier against the spontaneous fission has been determined within the Generalized Liquid Drop Model （GLDM） including the mass and charge asymmetry, and the proximity energy. The shell correction of the spherical parent nucleus is calculated by using the Strutinsky method, and the empirical shape-dependent shell correction is 6mp10yed during the deformation process. A quasi-molecular shape sequence has been defined to describe the whole process from one-body shape to two-body shape system, and a two-touching-ellipsoid is adopted when the superdeformed one-body system reaches the rupture point. On these bases the spontaneous fission barriers are systematically studied for nuclei from 2a~Th to 249 Cm for different possible exiting channels with the different mass and charge asymmetries. The double, and triple bumps are found in the fission potential energy in this region, which roughly agree with the experimental results. It is found that at around Sn-like fragment the outer fission barriers are lower, while the partner of the Sn-like fragment is in the range near l~SRu where the ground-state mass is lowered by allowing axially symmetric shapes. The preferable fission channels are distinctly pronounced, which should be corresponding to the fragment mass distributions.     

Instability of a spherical drop in a nonuniform electric field

Analytical calculation in the first order of smallness shows that the equilibrium shape of a drop in the field of a point charge is axisymmetric about the plane passing through the center of mass of the drop normally to the axis connecting the center of mass with the point charge. Whether the equilibrium shape of the drop is stable or not depends on the value of the field parameter, which, in turn, depends on the point charge and the distance to it. There is an asymptotic value of the critical parameter above which all modes become unstable. In the field of the point charge, the mode coupling grows; that is, a mode excited at the zero time generates oscillations of the six nearest modes with amplitudes proportional to that of the initially excited mode. If the initially excited mode loses stability, all the modes coupled with it also become unstable. The surface instability of the drop also develops when the initially excited mode is stable but at least one of the modes coupled with it is unstable.     

可变形战斗部弹体变形型面研究

基于炸药瞬时爆轰理论,将战斗部变形阶段的结构简化为辅助装药,对等效圆柱壳体实施爆轰加载,并在等效壳体上的加载段引入若干个塑性铰,相应地将辅助装药划分成与塑性铰相对应的若干个独立微元。针对均匀加载下等效壳体的原始位移分布,采用具有能量分布梯度的辅助装药加载进行匹配,设计出能实现D型型面的辅助装药形状,最后通过数值模拟进行验证。结果表明,采用该形状的辅助装药能实现较理想的D型弹体变形型面。     

有限长导体棒的电荷分布的数值模拟

利用有限差分法对有限长导体棒电荷面密度进行了数值模拟.数值模拟结果说明,有限长带电导体棒面电荷分布不仅与导体表面的曲率半径有关,还与导体的总体形状以及导体周围环境中其他导体的分布有关.     

Electric Charging in Dielectric Barrier Discharges with Asymmetric Gamma‐Coefficients

A dielectric barrier discharge with different electrode surfaces is investigated and the dynamic evolution of surface charge on the dielectric surface is measured optically. It is found that the amount of surface charge after the positive and the negative half‐cycle are not equal, i.e. a bias charge emerges. To understand this phenomenon, the transfered charge per half‐cycle is estimated from the Paschen curve and the shape of the driving voltage waveform. It turns out that the charge bias is necessary to compensate for the asymmetry of the discharge conditions due to the different surfaces and hence is required for a balanced charge transfer in the steady state (© 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)