纳米通道内液态微流动密度分布特性数值模拟研究

微通道内流动因表面积/体积比值极大, 造成许多微尺度效应, 进而使微通道内出现完全不同于宏观流动的流体密度分布特性. 本文以纳米通道内液态Poiseuille流为对象, 采用非平衡分子动力学模拟方法研究了流体原子间相互作用强度ε_LL, 流体原子间平衡距离σ_LL以及壁面原子与流体原子间平衡距离σ_LS对通道内流体密度分布的影响规律. 数值模拟中, 统计系综取微正则系综, 势能函数选用LJ/126模型, 壁面设为Rigid-atom壁面, 温度校正使用速度定标法, 牛顿运动方程的求解则采用Verlet算法. 模拟结果表明, 随ε_LL的减弱, 近壁面区密度分布的振荡幅度则逐渐增大; 而σ_LL 则同时影响流体原子的存在形态和密度分布, 较大的σ_LL 会造成流体原子在整个通道内呈现面心立方结构的类似固体排列, 较小的σ_LL会使得流体原子呈现不断变化的 "团簇" 结构; 随σ_LS的变大, 近壁面区流体密度振荡幅度增大, 且流体密度分布起点离壁面越远. 另外, 本文还从近壁面区流体原子的 "俘获-逃逸" 行为角度, 初步解释了原子间相互作用强度对密度分布的影响规律. 关键词： 纳米通道 微流动 密度分布 分子动力学     

广义相对论的有核多层球的结构及其稳定性

有核结构(或有晕结构)是在许多不同类型的天体中都遇到的一种几何位形。本文讨论了广义相对论中的有核多层球平衡结构位形及其稳定性。与无核情况相比,它具有许多独特的性质,主要有:1.在中心核区附近,物质密度分布迅速增加;2.只对满足一定条件的中心核才存在有限半径的稳定解;3.当多方指数n≥3时,也存在稳定的平衡解。 关键词：     

壁面二次电子发射对霍尔推力器放电通道绝缘壁面双鞘特性的影响

为进一步揭示霍尔推力器放电通道绝缘壁面鞘层的特性, 利用考虑了壁面二次电子分布函数的一维稳态流体鞘层模型, 研究了壁面二次电子发射对近壁双鞘特性的影响. 分析结果表明, 由于壁面发射的二次电子对近壁鞘层中的电子密度有增加作用, 存在一个临界二次电子发射系数σ_dc使得: 当σ≤σ_dc时, 鞘层为单层的正离子鞘结构; 当σ>σ_dc时, 鞘层表现为双层的正离子鞘和电子鞘相连结构, 连接点对应于垂直于壁面方向上电势分布的拐点. 然而, 当σ进一步增大到0.999时, 鞘层转变为三层的正离子鞘-电子鞘-正离子鞘交替结构. 数值结果表明: 随着σ的增加, 电子鞘与离子鞘的连接点向远离壁面的方向移动, 电子鞘的厚度逐渐增加; 随着壁面出射电子能量系数a的增加, 近壁区鞘层的厚度也逐渐增加. 关键词： 霍尔推力器 双鞘 壁面二次电子发射     

在相对论性激光-等离子体系统中初始物理参数对激光脉冲的影响

基于相对论性激光-等离子体动力学理论，研究了相对论性激光-等离子体系统中圆偏振入射脉冲激光和等离子体相互作用对激光脉冲宽度的影响. 具体分析了在不同初始物理参数下脉冲激光的脉冲宽度在等离子体传播过程中的变化情况，重点分析了激光脉冲在等离子中压缩. 计算结果表明增加入射激光的强度和入射脉冲宽度以及减小等离子体的初始密度，能够有效地实现脉冲宽度在等离子体中压缩；当激光脉冲的初始参数a₀=0.12和τ=70以及等离子体密度n₀=0.3时，脉冲宽度相对压缩T/τ接近于1/10，从而给出了激光压缩的理论优化参数. 关键词： 相对论性激光-等离子体 激光脉冲宽度 等离子体密度 自压缩     

色散效应对光学参量放大器量子起伏特性的影响

解析求解了包含色散、损耗和抽运吃空的含时的Fokker-Planck方程,通过数值计算首先获得了色散时简并参量放大(DOPA)系统的光压缩特性.研究结果表明：色散效应是由非线性极化率从χ″增大到χ″/{1+σ²/}/+2而引起的.随着色散效应的逐渐增大,压缩曲线的形状基本相同,且整体向左收缩,最大压缩趋近于线性理论的结果1/(1+μ).还获得了色散时非简并参量放大(NOPA)系统的光纠缠特性.研究发现：当σ给定,随着抽运参数μ的增大,相应的相位变化也增大,非线性极化率的极性发生多次变化,极性为正阶段的增益大部分被极性为负阶段的衰减所抵消,净增益不大,压缩也不大,最小均方差V₁的值逐渐减小,且整体向右移动,接近于线性理论的结果1/(1+μ). 关键词： 色散 量子起伏 光学参量放大器     

彩虹及在非均匀球中的应用

利用广义洛伦兹-米氏理论，研究了多层球折射率按指数规律变化时，其一阶彩虹角分布随折射率变化的情况。研究结果表明，无论折射率为指数增大还是指数衰减，多层球彩虹角位置均与折射率分布密切相关，为探测非均匀球的折射率及梯度分布以及燃烧室的温度分布提供了有效的信息。     

有限深两层流体中内孤立波造波实验及其理论模型

将置于大尺度密度分层水槽上下层流体中的两块垂直板反方向平推, 以基于 Miyata-Choi-Camassa (MCC)理论解的内孤立波诱导上下层流体中的层平均水平速度作为其运动速度, 发展了一种振幅可控的双推板内孤立波实验室造波方法. 在此基础上, 针对有限深两层流体中定态内孤立波 Korteweg-de Vries (KdV), 扩展KdV (eKdV), MCC和修改的Kdv (mKdV)理论的适用性条件等问题, 开展了系列实验研究.结果表明, 对以水深为基准定义的非线性参数ε 和色散参数μ, 存在一个临界色散参数μ₀, 当μ < μ₀ 时, KdV理论适用于ε ≤μ 的情况, eKdV理论适用于μ < ε ≤√μ 的情况, 而MCC理论适用于ε > √μ 的情况, 而且当μ ≥μ₀ 时MCC理论也是适用的.结果进一步表明, 当上下层流体深度比并不接近其临界值时, mKdV理论主要适用于内孤立波振幅接近其理论极限振幅的情况, 但这时MCC理论同样适用.本项研究定量地表征了四类内孤立波理论的适用性条件, 为采用何种理论来表征实际海洋中的内孤立波特征提供了理论依据. 关键词： 两层流体 内孤立波 双板造波 临界色散参数     

离子轰击控制准直碳纳米管生长的研究

用CH₄,H₂和NH₃作为反应气体，利用等离子体增强热丝化学汽相沉积制备出准直碳纳米管，并用扫描电子显微镜研究了不同负偏压对准直碳纳米管生长的影响. 结果表明，随着负偏压的增大，准直碳纳米管的平均直径减小、平均长度增大. 由于辉光放电的产生，在衬底表面附近形成阴极鞘层，并在阴极鞘层内形成大量的离子和在衬底表面附近形成很强的电场. 离子在电场的作用下对衬底表面的强烈轰击将对准直碳纳米管的生长产生影响. 结合有关理论，分析和讨论了离子的轰击对准 关键词： 准直碳纳米管 离子轰击 负偏压     

柱面波对多层球的轴向声辐射力

在理论和数值上研究柱面波对多层球的声辐射力.基于声波的散射理论，得到声辐射力的解析解，并给出数值仿真.结果表明：在特定的ka和kr₀处，柱面行波的辐射力可以是负值（k是波数，a是多层球的半径，r₀是多层球到声源的距离）.随着kr₀增加到无穷大，仿真结果退化为平面波的情形.对双层球而言，每层的相对厚度影响曲线共振峰的大小和位置，但对三层球而言没有显著影响.当最内层的介质换成空气时，由于声阻抗差异较大，共振峰更加明显.该研究可以为研发新一代单行波声束声学镊子提供理论指导，该技术在生物医学超声和材料科学领域有广泛的应用.     

高离化类铍离子2s21S0—2s2p3P1(Z=10—103)自旋禁戒光谱跃迁

利用全相对论性多组态Dirac-Fock平均能级(MCDF-AL)方法系统地计算了高离化类铍离子自 旋禁戒2s^{2 1}S₀—2s2p³P₁(Z= 10—103)跃迁的能级间隔和跃迁概率,计算中考虑了重要的核的有限体积效应,Breit修正 和QED修正,所得结果和最近的实验数据及理论计算值进行了比较,结果表明：高原子序数 的高荷电离子的自旋禁戒跃迁的跃迁概率和中性原子的电偶极E1的相当,在ICF和MC 关键词： 高离化态 跃迁概率     

Constructing physically valid fluid spheres in general relativity

We extend a method by Goldman to include conditions which are both necessary and sufficient for construction of physically acceptable relativistic fluid spheres. We thus give the conditions for having finite and non-negative pressure and finite and positive density inside the fluid sphere. We also give conditions for the pressure gradient and the density gradient to be negative and for the speed of sound to be less than the speed of light in vacuum. We further give the condition for the trace of the energy-momentum tensor to be positive and for the relativistic adiabatic index to be larger than 4/3. A model given by Goldman is examined, and we find that all these conditions are fulfilled. We further show that this model is stable. However, we also give a class ofnew exact solutions, and show that these models are physically valied. These models are also stable with respect to small radial disturbances. We calculated the total mass, the density and the physical radius for these fluid spheres. Some of these spheres turn out to be extremely compact. They can have a radius of only several centimeters, but typically contain the mass of a planet. We put these models forward as tentative exact solutions for spheres which could contain the hidden dark matter in the universe.     

Perturbation calculation of the distribution functions of mixtures of hard spheres

The distribution functions for a mixture of additive hard spheres of diameter σ_ii are calculated by means of an expansion in powers of σ _ij ⁿ - dⁿ , using an unperturbed single-component hard-sphere fluid of diameter d. Although the expansion converges only when the hard spheres in the mixture are nearly equal in size, it is useful because it is the only practical scheme available for obtaining the distribution functions of multicomponent hard-sphere mixtures.     

Self-consistent hartree description of finite nuclei in a relativistic quantum field theory

Relativistic Hartree equations for spherical nuclei are derived from a relativistic nuclear quantum field theory using a coordinate-space Green function approach. The renormalizable field theory lagrangian includes the interaction of nucleons with σ, ω, ρ and π mesons and the photon. The Hartree equations represent the “mean-field” approximation for a finite nuclear system. Coupling constants and the σ-meson mass are determined from the properties of nuclear matter and the rms charge radius in ⁴⁰Ca, and pionic contributions are absent for static, closed-shell nuclei. Calculated charge densities, neutron densities, rms radii, and single-nucleon energy levels throughout the periodic table are compared with data and with results of non-relativistic calculations. Relativistic Hartree results agree with experiment at a level comparable to that of the most sophisticated non-relativistic calculations to date. It is shown that the Lorentz covariance of the relativistic formalism leads naturally to density-dependent interactions between nucleons. Furthermore, non-relativistic reduction reveals non-central and non-local aspects inherent in the Hartree formalism. The success of this simple relativistic Hartree approach is attributed to these features of the interaction.     

Mass and stability of rigidly rotating relativistic polytropes by energy method

The energy of a rigidly rotating star is written in the first and second post-Newtonian approximation. Conditions for equilibrium and stability are derived, as well as evolutionary paths for stars shedding angular momentum or mass. For polytropic index n > 1, these analytic results agree with exact numerical results to within a few percent as long as the general relativity index (P/c²)_c < 0.1. The energy method is applied to low mass white dwarfs, to semirelativistic neutron stars and to supermassive stars.     

The TEM101 mode laser beam—A powerful tool for optical levitation of various types of spheres

We point out in this paper that a TEM¹₀₁ mode laser beam is convenient to stably levitate either solid or hollow dielectric spheres or metallic ones. Except a sufficient incident flux, there is no stability condition required to levitate solid transparent spheres having a refractive index larger than the one of the surrounding medium. According to the beam and sphere diameters, the equilibrium position will be centered on the beam axis or off-axis. In the case of hollow dielectric or metallic spheres, the lateral stability requires specific conditions on sphere and beam diameters. These conditions are discussed and then experimentally shown by performing optical levitation of these various kinds of spheres either in vertical or in horizontal beams.     

Statistical mechanics of inhomogeneous model colloid—polymer mixtures

We describe two strategies for tackling the equilibrium statistical mechanics of inhomogeneous colloid—polymer mixtures treated in terms of the simple Asakura—Oosawa—Vrij (AO) model, in which colloid—colloid and colloid—polymer interactions are hard-sphere like, whereas the polymer—polymer interaction is zero (perfectly interpenetrating polymer spheres). The first strategy is based upon integrating out the degrees of freedom of the polymer spheres to obtain an effective one-component Hamiltonian for the colloids. This is particularly effective for small size ratios q = σ_p/σ_c < 0.1547, where σ_p and σ_c are the diameters of colloid and polymer spheres, respectively, since in this regime three and higher body contributions to the effective Hamiltonian vanish. In the second strategy we employ a geometry based density functional theory (DFT), specifically designed for the AO model but based on Rosenfeld's fundamental measure DFT for additive mixtures of hard-spheres, that treats colloid and polymer on an equal footing and which accounts for the fluid-fluid phase separation occurring for larger values of q. Using the DFT we investigate the properties of the ‘free’ interface between colloid-rich (liquid) and colloid-poor (gas) fluid phases and adsorption phenomena at the interface between the AO mixture and a hard-wall, for a wide range of size ratios. In particular, for q = 0.6 to 1.0, we find rich interfacial phenomena, including oscillatory density profiles at the free interface and novel wetting and layering phase transitions at the hard-wall-colloid gas interface. Where appropriate we compare our DFT results with those from computer simulations and experiment. We outline several very recent extensions of the basic AO model for which geometry based DFTs have also been developed. These include a model in which the effective polymer sphere—polymer sphere interaction is treated as a repulsive step function rather than ideal and one in which the depletant is a fluid of infinitely thin rods (needles) with orientational degrees of freedom rather than (non-interacting) polymer spheres. We comment on the differences between results obtained from these extensions and those of the basic AO model. Whilst the interfacial properties of the AO model share features in common with the those of simple (atomic) fluids, with the polymer reservoir density replacing the inverse temperature, we emphasize that there are important differences which are related to the many-body character of the effective one-component Hamiltonian.     

Higgs scalar–tensor theory for gravity and the flat rotation curves of spiral galaxies

The scalar–tensor theory of gravity with the Higgs field as scalar field is presented. For central symmetry it reproduces the empirically measured flat rotation curves of galaxies. We approximate the galaxy by a polytropic gas sphere with the polytropic index γ = 2 and a massive core.     

弹性薄壁桿件的平衡与稳定的一般理论

In this paper a theory of equilibrium and stability of elastic thin-walled cylinders is proposed. The theory is based on the following assumptions: 1) The cross section of the cylinder is uncleformable. 2) The cylinder is under a system of initial stresses σ_z⁰=- P⁰/F-M_y⁰/I_xx x + M_x⁰/I_yyy. This theory may be regarded as a generalization of V. Z. Vlasoff's theory of stability of thin-walled rods, and includes the theory of Karman-Chien and Adaduroff as a special case. For cases of simply supported cylinders and cantilever cylinders, a method of solution using trigonometric series is proposed which is much simpler than the methods used by Karman-Chien and Adaduroff.