Theoretic quantum information entropies for the generalized hyperbolic potential

The Shannon entropy (S) and the Fisher Information (I) entropies are investigated for a generalized hyperbolic potential in position and momentum spaces. First, the Schrodinger equation is solved exactly using the Nikiforov-Uvarov-Functional Analysis method to obtain the energy spectra and the corresponding wave function. By Fourier transforming the position space wave function, the corresponding momentum wave function was obtained for the low-lying states corresponding to the ground and first excited states. The positions and momentum of Shannon entropy and Fisher Information entropies were calculated numerically. Finally, the Bialynicki-Birula and Mycielski and the Stam-Cramer-Rao inequalities for the Shannon entropy and Fisher Information entropies, respectively, were tested and were found to be satisfied for all cases considered.     

对BJH方法计算孔径分布过程的解读

This paper introduces the geometric assumptions and neglects of the pore size distribution calculated by BJH method, the arithmetic approximation for simplified calculation, the derivation process of each parameter, the calculation steps and key points of the pore size distribution. This paper also introduces the application scope of BJH method at the current instrument level, and how to further integrate the data. In order to get the required analysis and test report, references are provided for the subsequent adjustment of test parameters and improvement of test methods. Some problems often encountered in reading experimental reports are also discussed.     

基于S-型光催化机制CuInS2内嵌中空凹面氮化碳光催化分解H2O制H2（英文）

光催化解离H2O合成H2是绿色可再生的太阳能光子能量转换策略之一.目前,增强光催化材料对太阳能光子的捕获并将之有效利用仍然是一个具有挑战性的课题.光催化解离H2O反应包括三个过程:太阳能光子能量促使光生电子在半导体材料带隙中的跃迁;光生电子定向传输;光生电子与吸附在半导体材料表面的H2O分子发生反应.第一过程需要强的太阳光子捕获能力以产生足够的光生载流子;第二、三过程在动力学上反映了光生载流子在各个竞争过程中能否有效利用的问题,如光生电子迁移与H2O作用的速度很慢(~μs),而电子与空穴的复合速度快(~ps).目前研究者很难协调半导体材料的电学和光学特性以满足光生载流子在热力学和动力学两方面的要求.g-C3N4是由C、N原子通过sp2杂化组成的二维π共轭体系.当g-C3N4结构偏离二维平面时,共轭体系的π电子由凹面迁移到凸面,促使凹、凸面形成表观电势差,有利于电子的定向传输.本文通过卷曲sp2杂化离域均三嗪体系偏离二维平面,得到空心凹面g-C3N4结构,便捷地优化了半导体的电子结构.将CuInS2嵌入生长于空心g-C3N4的凹面,所构成的半导体光催化材料CuInS2@C3N4展现了增强的光捕获能力,以及电子定向传输转移能力.结合XPS、光电流测试、电化学阻抗谱、稳态及瞬态荧光等表征手段揭示空心g-C3N4凹、凸面表观电势差驱动光生电子以S-型光催化作用机制从CuInS2的Cu 2p向g-C3N4的N 1s的路径转移.因而,所构建的CuInS2@C3N4在可见光激发下产氢效率提高到373μmol·h^?1·g^?1,其产氢效率分别是二维平面g-C3N4负载1 wt%Pt和3 wt%Pd效率的1.57倍和1.35倍,表明空心g-C3N4凹、凸面电势差可以显著地促进光生电子分离和利用率,从而提高光催化解离水制氢效率.本文可增强g-C3N4的可持续太阳能转换性能,也适用于其他半导体材料以替代贵金属光催化体系,降低光催化产氢技术成本,促进光催化技术的应用.     

Theoretical modeling of the chemical synthesis and detonation performance of polynitrocubane derivatives

Theoretical work was performed based on experimental methods described in the literature to simulate and explore feasible routes for the synthesis of energetic octanitrocubane (ONC) and polynitrocubane derivatives. In respective gaseous and liquidous environments, using cubane as the raw material, ONC was successfully synthesized through carboxylation, amination, oxidation and nitration stages, and the related reaction energy barriers were simultaneously acquired. In particular, the polyparametric calibrated gaseous molecular formation enthalpy and the group additivity approach-estimated molecular density were incorporated using the Kamlet-Jacobs equation to evaluate the detonation performance of polynitrocubane derivatives. Some high-energy-density derivatives were found to have superior characteristics as compared with traditional hexagon (RDX) and octagon (HMX) explosives.     

基于支座反力影响线曲率差分的等截面连续梁损伤识别方法

为了实现仅采用损伤状态信息对等截面连续梁进行损伤识别,通过推导三跨不等跨连续梁在移动荷载作用下的支座反力影响线,发现支座反力影响线求曲率并作差分后的曲线在损伤位置会发生突变,基于该现象提出了一种损伤定位方法,进一步建立了损伤程度计算方法,可对损伤程度进行较精确的定量。通过一三跨连续梁和一四跨连续梁工程实例的仿真分析,证明了支座反力影响线曲率差分指标损伤定位和相应的损伤程度定量方法对等截面连续梁损伤识别具有可行性。     

Isobaric thermal expansivities of polyethylenes with various crystallinities over the pressure range from 0.1 to 300 MPa and over the temperature range from 303 to 393 K

A pressure-controlled scanning calorimeter (PCSC) has been applied for measuring the isobaric volume thermal expansivities (α_p) of crystalline polymers as a function of pressure up to 300 MPa at various temperatures. The measurements have been performed for several well-defined polyethylenes with various degrees of crystallinity at 302.6, 333.0, 362.6, and 393.0 K. The results are reported as values of coefficients in a correlation equation, which facilitates the use of reported data over large ranges of temperature and pressure. The general pressure-temperature behavior of α_p for all polyethylenes under study is such that α_p increases with temperature and decreases with pressure. The increase with temperature is smaller at high pressures and the isotherms of α_p have a tendency to converge at high pressures; α_p decreases linearly with the crystallinity of the polyethylene over the whole range of pressure and temperature under investigation. From the linear approximation of experimental data for polyethylenes with various crystallinities the estimated α_p for both crystal and amorphous phases of polyethylenes have been determined as a function of pressure up to 300 MPa at 302.6, 333.0, and 362.5 K. The obtained results have been compared with available literature crystallographic data and with the values derived from the Pastine theoretical equation of state for both crystalline and amorphous phases. © 1996 John Wiley & Sons, Inc.     

FORCE FIELDS ON INVISCID,SLENDER, ANNULAR LIQUID JETS

Regular perturbation expansions are used to analyse the fluid dynamics of unsteady, inviscid, slender, thin, incompressible (constant density), axisymmetric, upward and downward, annular liquid jets subjected to non-homogeneous, conservative body forces when both the annular jets are very thin and the gases enclosed by and surrounding the jet are dynamically passive. Both inertia- and capillarity-dominated annular jets are considered. It is shown that, for inertia-dominated jets, closure of the leading-order equations is achieved at second order in the perturbation parameter, which is the slenderness ratio, whereas closure is achieved at first order for capillarity-dominated jets. The steady leading-order equations are solved numerically by means of both an adaptive finite difference method which maps the curvilinear geometry of the jet onto a unit square and a fourth-order-accurate Runge–Kutta technique. It is shown that the fluid dynamics of steady, annular liquid jets is very sensitive to the Froude and Weber numbers and nozzle exit angle in the presence of non-homogeneous, conservative body forces. For upward jets with inwardly or axially directed velocities at the nozzle exit the effect of the non-homogeneous, conservative body forces is to increase the leading-order axial velocity component, decrease the jet's mean radius and move the stagnation point downstream. For downward jets with radially outward velocity at the nozzle exit the axial velocity component decreases monotonically as the magnitude of the non-homogeneous, conservative body forces is increased.     

COMPARISON OF ACCURACY AND PERFORMANCE FOR LATTICE BOLTZMANN AND FINITE DIFFERENCE SIMULATIONS OF STEADY VISCOUS FLOW

The lattice Boltzmann method (LBM) is used to simulate flow in an infinite periodic array of octagonal cylinders. Results are compared with those obtained by a finite difference (FD) simulation solved in terms of streamfunction and vorticity using an alternating direction implicit scheme. Computed velocity profiles are compared along lines common to both the lattice Boltzmann and finite difference grids. Along all such slices, both streamwise and transverse velocity predictions agree to within 0ċ5% of the average streamwise velocity. The local shear on the surface of the cylinders also compares well, with the only deviations occurring in the vicinity of the corners of the cylinders, where the slope of the shear is discontinuous. When a constant dimensionless relaxation time is maintained, LBM exhibits the same convergence behaviour as the FD algorithm, with the time step increasing as the square of the grid size. By adjusting the relaxation time such that a constant Mach number is achieved, the time step of LBM varies linearly with the grid size. The efficiency of LBM on the CM-5 parallel computer at the National Center for Supercomputing Applications (NCSA) is evaluated by examining each part of the algorithm. Overall, a speed of 13ċ9 GFLOPS is obtained using 512 processors for a domain size of 2176×2176.     

MULTILEVEL SCHEMES FOR SOLVING UNSTEADY EQUATIONS

In this paper we propose and study various multilevel schemes for solving unsteady equations. Numerical comparisons between the choices of discretization and discussions are made on the Burgers equation in one and two dimensions. In particular we prove the advantage of using a hierarchical ADI solver.     

MODELLING OF WAVE PROPAGATION IN THE NEARSHORE REGION USING THE MILD SLOPE EQUATION WITH GMRES-BASED ITERATIVE SOLVERS

The mild slope equation in its linear and non-linear forms is used for the modelling of nearshore wave propagation. The finite difference method is used to descretize the governing elliptic equations and the resulting system of equations is solved using GMRES-based iterative method. The original GMRES solution technique of Saad and Schultz is not directly applicable to the present case owing to the complex coefficient matrix. The simpler GMRES algorithm of Walker and Zhou is used as the core solver, making the upper Hessenberg factorization unneccessary when solving the least squares problem. Several preconditioning-based acceleration strategies are tested and the results show that the GMRES-based iteration scheme performs very well and leads to monotonic convergence for all the test-cases considered.