Heat transfer in locally heated liquid films moving under the action of gravity and gas flow

Heat transfer in a viscous liquid film moving under the action of gravity and a gas flow on a substrate with a locally heated rectangular area is investigated. The heat exchange coefficient is given on the liquid-gas surface; the heat flux to the liquid is given on the heated area; the substrate surface outside the heated area is heat-insulated. An analytical solution in a form of a convergent series is obtained for the liquid temperature distribution in the film. The influence of the dimensionless criteria on the obtained solution is analyzed. The effect of heat flux inhomogeneity on the temperature distribution is considered.     

Constraints on heterotic M-theory from s-cobordism

We interpret heterotic M-theory in terms of h-cobordism, that is the eleven-manifold is a product of the ten-manifold times an interval is translated into a statement that the former is a cobordism of the latter which is a homotopy equivalence. In the non-simply connected case, which is important for model building, the interpretation is then in terms of s-cobordism, so that the cobordism is a simple-homotopy equivalence. This gives constraints on the possible cobordisms depending on the fundamental groups and hence provides a characterization of possible compactification manifolds using the Whitehead group - a quotient of algebraic K-theory of the integral group ring of the fundamental group - and a distinguished element, the Whitehead torsion. We also consider the effect on the dynamics via diffeomorphisms and general dimensional reduction, and comment on the effect on F-theory compactifications.     

Discrete dislocation simulation of nanoindentation: the influence of obstacles and a limited number of dislocation sources

Nanoindentation is simulated on the computer by means of a 2D discrete dislocation model under the conditions of a constrained geometry. First, an indentation test near a grain boundary is investigated by the arrangement of only one boundary and second, an indentation test into the center of the surface of a small grain (lamella) is mimicked by the arrangement of two boundaries. The effect of a limited number of dislocation sources is studied by the simulations of an indentation test in a plastically deformable film on an ideal elastic substrate and by such tests on an ideal elastic film on a plastically deformable substrate. The discrete nature of plasticity is shown to have a significant influence on the mechanical material behavior in all our investigations.     

Hamiltonian cycles on random lattices of arbitrary genus

A Hamiltonian cycle of a graph is a closed path that visits every vertex once and only once. It has been difficult to count the number of Hamiltonian cycles on regular lattices with periodic boundary conditions, e.g. lattices on a torus, due to the presence of winding modes. In this paper, the exact number of Hamiltonian cycles on a random trivalent fat graph drawn faithfully on a torus is obtained. This result is further extended to the case of random graphs drawn on surfaces of an arbitrary genus. The conformational exponent y is found to depend on the genus linearly.     

CPT-Frames for Non-Hermitian Hamiltonians

Based on the P T-symmetric quantum theory,the concepts of P T-frame,P T-symmetric operator and CPT-frame on a Hilbert space K and for an operator on K are proposed.It is proved that the spectrum and point spectrum of a P T-symmetric linear operator are both symmetric with respect to the real axis and the eigenvalues of an unbroken P T-symmetric operator are real.For a linear operator H on Cd,it is proved that H has unbroken P Tsymmetry if and only if it has d diferent eigenvalues and the corresponding eigenstates are eigenstates of P T.Given a C P T-frame on K,a new positive inner product on K is induced and called C P T-inner product.Te relationship between the CP T-adjoint and the Dirac adjoint of a densely defined linear operator is derived,and it is proved that an operator which has a bounded CP T-frame is CP T-Hermitian if and only if it is T-symmetric,in that case,it is similar to a Hermitian operator.The existence of an operator C consisting of a CP T-frame is discussed.These concepts and results will serve a mathematical discussion about P T-symmetric quantum mechanics.     

CPT-Frames for Non-Hermitian Hamiltonians

Based on the PT-symmetric quantum theory, the concepts of PT-frame, PT-symmetric operator and CPT-frame on a Hilbert space K and for an operator on K are proposed. It is proved that the spectrum and point spectrum of a PT-symmetric linear operator are both symmetric with respect to the real axis and the eigenvalues of an unbroken PT-symmetric operator are real. For a linear operator H on C^d, it is proved that H has unbroken PT- symmetry if and only if it has d different eigenvalues and the corresponding eigenstates are eigenstates of PT. Given a CPT-frame on K, a new positive inner product on K is induced and called CPT-inner product. Te relationship between the CPT-adjoint and the Dirac adjoint of a densely defined linear operator is derived, and it is proved that an operator which has a bounded CPT-frame is CPT-Hermitian if and only if it is T-symmetric, in that case, it is similar to a Hermitian operator. The existence of an operator C consisting of a CPT-frame is discussed. These concepts and results will serve a mathematical discussion about PT-symmetric quantum mechanics.     

Strain induced epitaxial relationships of Cr on Co/Pd(111)

The growth and structure of Co ultra-thin films on Pd(111) and Cr on Co/Pd(111) have been analyzed by grazing incidence X-ray diffraction and low energy electron diffraction. It is shown that the in-plane lattice constant of the epitaxial Co film depends on the growth temperature. Although the strain decreases as a function of the Co film thickness, it persists for 20 monolayer (ML) films or even thicker. When Cr is deposited at room temperature on a strained Co film (10 to 20 ML thick) a Kurdjumov–Sachs epitaxial relationship is observed, whereas when Cr is deposited on a Co(0001) single-crystal or on a very thick Co film on Pd(111), a Nishyama–Wassermann orientation is obtained.     

Broadband planar nearfield acoustic holography based on one-third-octave band analysis

Planar nearfield acoustic holography (PNAH) is usually based on narrow-band, single frequency analysis, which is time consuming when the source behavior over a broad frequency range is of interest, as is the case with many industrial sources. In this paper a method, broadband planar nearfield acoustic holography based on one-third-octave band analysis (BPNAH), is described. Data relating to the complex band pressure on the hologram is obtained by combining the root-mean-square pressure corresponding to a one-third-octave band with the phase of the pressure corresponding to a single frequency line. Numerical simulations and measurements show that the BPNAH method allows a significant reduction in processing time, while keeping a similar accuracy to the conventional reconstruction, which is based on the summation of frequency by frequency in the corresponding band. As a simple, time-saving and robust technique, the BPNAH method is particularly well adapted to industrial studies.     

An electronspectroscopic study of adsorbate structure

The ultraviolet photoelectron spectra of xenon adsorbed on crystals of (100) nickel and (110) iron have been measured as a function of xenon coverage. It is shown that the total current in the xenon peaks is a measure of the xenon coverage but that the attenuation of the electrons from the metal substrate is dependent on the packing density of xenon on the surface. Previous measurements by Auger electron spectroscopy are compared and it is shown that the mean free path of 16 eV electrons from the d-bands of nickel and iron is 2.75 times that of 60 eV Auger electrons. The data allows the calculation according to a slab model of a mean thickness of a xenon monolayer. This is interpreted as a measure of the packing density of xenon localized on metal lattices of varying dimensions. The UPS spectrum for xenon on (110) iron shows a marked broadening of the xenon peaks as compared to (100) nickel. This is interpreted as due to variation in relaxation energy over adsorbate states on the iron surface arising from xenon atoms in offsite positions.     

Expectation and transition probability

It is shown that a separating or order-determining set of states on a quantum logic need not determine the expectations of observables. A formula is derived for the transition probability between states. Using this formula, it is shown that the propositions do not determine the transition probability in a certain sense. The form of the transition probability is derived for pure states on Hilbert space, dominated normal states on a von Neumann algebra, and absolutely continuous states on a measurable space. A metric is defined in terms of the transition probability.     

真空绝缘子脉冲表面电场在线测量系统的实现

基于Kerr电光效应,建立了用以对纳秒脉冲高电压作用下的真空绝缘子表面电场进行在线测量的实验系统。该测量系统由快脉冲高电压源、YAG激光器、同步控制系统、被测中空薄壁绝缘子及Kerr效应单元、光学相位差检测系统等部分构成。利用YAG激光器输出的激光脉冲,触发导通快脉冲高压源中的高压气体开关,使其给被测绝缘子试品上施加一个脉宽100ns的高压脉冲方波。利用同步控制,使得探测激光在试品上的脉冲方波达到幅值后,入射到Kerr腔体中对Kerr效应进行探测。从而实现了对绝缘子表面电场的在线测量,并给出了初步的测量结果。     

The theory of SERS on semiconductor and dielectric substrates

It is demonstrated that the reason for SERS on dielectric and semiconductor substrates is enhancement of the electric field in the regions of the tops of surface roughness with a very small radius or a very large curvature. The enhancement depends on the dielectric constant of the substrate and is stronger for a larger dielectric constant. It is indicated that the enhancement on dielectrics and semiconductors is weaker than on metals with the same modulus of the dielectric constant. The result obtained is confirmed by experimental data on the enhancement coefficients obtained for various semiconductor and dielectric substrates.     

Peculiarities of evaporation of a thin water layer in the presence of a solvable surfactant

Evaporation of a thin layer of a polar liquid (water) having a free surface and located on a solid substrate is investigated. A solvable surfactant is placed on the free liquid-vapor interface. The surface tension is a linear function of the surface concentration of the surfactant. The surface energy of the solid-liquid contact line is a nonmonotonic function of the layer thickness and is the sum of the Van der Waals interaction and the specific interaction of the double electric layer on the interface. The effect of the solvable surfactant on the dynamics and stability of the propagation of the evaporation front in the thin liquid film is analyzed in the long-wave approximation in the system of Navier-Stokes equations.     

The mechanics of a compliant motion suppression system for semisubmersibles

This paper describes experimental and theoretical work on a passive motion suppression system for semisubmersible vessels. The system incorporates a pneumatic compliancy which is designed to enhance the wave induced motion characteristics of such a vessel for offshore drilling and production service. The pneumatic compliancy is achieved through the use of open bottom tanks mounted on the vessel. The tanks pierce the water surface and trap a volume of air above their internal water level. During operation wave action on the tanks imparts an oscillating vertical force on the vessel which is 180 degrees out-of-phase with the inertia dominated wave induced heave force. As a result, vessel heave, roll and pitch motions are substantially reduced. Regular and irregular wave tests have been performed on a scale model enabling the motion reduction capabilities of such a system of be evaluated. Test data is compared with a multi-degree of freedom dynamic response calculation in the frequency domain in which the Morison equation is used for calculating wave induced drag and inertia loads on the semisubmersible. The paper is concluded with a discussion on the relative merits and drawbacks of incorporating a pneumatic compliancy into hitherto hydrodynamically rigid semisubmersible designs.     

利用QuickBird数据进行热红外遥感成像模拟的研究

针对基于机载热像仪图像或随机产生仿真场景的早期热红外成像模拟系统,提出了对高分辨率QuickBird图像进行星载热红外成像模拟的方法。基于高分辨率QuickBird图像,采用ISODATA法进行非监督分类,得到土地分类专题图,通过地物光谱数据库获得场景地物温度及发射率,从而可获得地面辐亮度图像;利用大气辐射传输软件MODTRAN对其进行大气修正,结合卫星遥感器辐射定标系数,最终可得到卫星遥感器输出图像。仿真结果表明,利用QuickBird进行热红外遥感成像模拟是一种全新而有益的尝试,对伪装效果检验等具有一定的参考价值。     

High-pressure EPR studies of intermolecular interactions in solids

High-pressure technique as applied to studies of different problems in solid state physics by EPR spectroscopy is presented. An influence of hydrostatic pressure up to 500 MPa on a weak superexchange coupling between Cu(II) ions in monomeric and dimeric copper(II) compounds is described. Both decrease and increase in the coupling is observed under pressure depending on the crystal and molecular structure but in all cases a dominant contribution is due to a shortening of intermolecular distances, whereas molecular structure and molecular vibrations are not affected. In dimeric Cu(II) compounds with resolved fine structure of EPR spectra zero-field splitting is weakly or not at all dependent on pressure whereas a strong dependence on temperature exists. It is discussed as a result of vibronic ligand behaviour which is not volume dependent. For all cases complementary temperature dependences are presented and moreover a behaviour of EPR linewidth under pressure and temperature is shown. An influence of high pressure on spin exchange reactions in solutions and on the phase memory time in electron spin echo experiments is briefly described.     

Über die Gültigkeit der Fowler-Nordheim-Gleichung bei der Feldemission von Mikrospitzen auf ausgedehnten Metalloberflächen

The validity of the Fowler-Nordheim equation is discussed for field emission from protrusions on extended metal surfaces. With the model of a semi-spheroid on a plane the permeability of the potential barrier is calculated. It is found that the field enhancement factor calculated from the slope of the Fowler-Nordheim plots is then less than its value on the tip of the protrusion. Furthermore, this slope depends on the field, and it is nearly constant only if the height of the protrusion is above a certain limit. For a multitude of emitters the resulting slope of the Fowler-Nordheim plots is calculated. It is found that this slope is determined practically by the site with the highest field enhancement factor. Finally the influence of gas adsorption is discussed. Patch fields caused by inhomogeneous adsorption, and variation of the adsorption state by secondary processes may have a strong influence on the emission. In this case it is impossible to obtain the values of the field enhancement factor and of the emitting surface from the Fowler-Nordheim plots in a simple way.     

On Quasi-Exact Solvability of the Schrödinger Equation for a Free Particle on the Surface of a Spindle Torus

We show that the Schrödinger equation for a free particle on the surface of a spindle torus is quasi-exactly solvable. Our result complements former ones in an interesting way: it is known that the Schrödinger equation for a free particle on a ring torus is non-solvable, whereas it is exactly solvable for a particle on a horn torus.     

Position sensor based on slit imaging

A position sensor based on slit imaging is proposed and its measurement principle is described.An imaging slit is illuminated by a collimated laser beam with square-wave modulation and imaged on a detection double slit through a 4f system.A magnified image of the detection double slit is formed on a bi-cell detector.The position of the imaging slit is obtained by detecting light intensity on two parts of the bi-cell detector.In experiments,the feasibility of the sensor was verified.The repeatability was less than 40 nm.