Numerical and experimental study of high-lift configurations

Flow of two high-lift devices is studied on the basis of the solution to two-dimensional Reynolds equations with the Spalart — Allmaras one-equation turbulence model. Computation results are compared with the experiment under the conditions of airfoil flow in the low-speed wind tunnel with open test section. It is shown that such approach is the most correct for this comparison.     

Hohenberg-Kohn theorem for the lowest-energy resonance of unbound systems

We show that under well-defined conditions the Hohenberg-Kohn theorem (HKT) that provides the foundation of ground-state density functional theory (DFT) can be extended to the lowest-energy resonance of unbound electronic systems. The extended version of the HKT provides an adequate framework to carry out DFT calculations of negative electron affinities.     

Fusion of spherical-octupole pairs of colliding nuclei for compact and elongated configurations

The deformation and associated optimum/uniquely fixed orientations play an important role in the syn-thesis of compound nuclei via cold and hot fusion reactions,respectively,at the lowest and highest barrier energies.The choice of optimum orientation(0_op)for the'cold or elongated'and hot or cormpact'fusion configurations of quadrupole(β₂)deformed nuclei depends only on the+/-signs ofβ₂-deformation[J.Phys.G:Nucl.Part.Phys.31,631-644(2005)].In our recent study[Phys.Rev.C 101,051601(R)2020],we proposed a new sct of Oopt(iferent from the values reported for quadrupole deformed nuclei)after the inclusion of octupole deformation(up to B3)ef-fects.Using the respective 0op1 of B3-deformed nuclei for cold and hot optimum orientations,we analyzed the im-pact of the soft-and rigid-pear shapes of octupole deformed nuclei on the fusion barrier characterstics(barrier height Vg and barrier position RB).This analysis is applied to approximately 200 spherical-plus B3 deformed nucle-ar partners,that is,¹⁶O,¹⁸Cat octupole deformed nuclei.Compared with the compact configuration,the elongated fu-sion configuration has a relatively larger impact on the fusion barrier and cross sections ow ing to the inclusion of de-formations up to B3.Its agreement with available experimental data for the¹⁶O+¹⁵⁰Sm reaction(β₂₂-0.205,β₃₂=0.055)also improves when the optimum orientation degree of freedom is fixed in view of octupole deformations.This reinforces the fact that nuclear structure effects play an important role in the nuclear fusion process.Thus,octu-pole deformed nuclei can be used for the synthesis of heavy and superheavy nuclei.     

Numerical study on reducing the vibration of spur gear pairs with phasing

A new method of reducing gear vibration was analyzed using a simple spur gear pair with phasing. This new method is based on reducing the variation in mesh stiffness by adding another pair of gears with half-pitch phasing. This reduces the variation in the mesh stiffness of the final (phasing) gear, because each gear compensates for the variation in the other's mesh stiffness. A single gear pair model with a time-varying rectangular-type mesh stiffness function and backlash was used, and the dynamic response over a wide range of speeds was obtained by numerical integration. Because of the reduced variation in mesh stiffness and the double frequency, the phasing gear greatly reduced the dynamic response and nonlinear behavior of the normal gears. The results of the analysis indicate the possibility of reducing vibration of spur gear pairs using the proposed method.     

Photoproduction of pion-nucleon pairs on atomic nuclei and isobar configurations

The photoproduction of pion-nucleon pairs on atomic nuclei in the Δ(1232) resonance region was analyzed. The contributions of both nucleon and isobar configurations in the ground state of nuclei were taken into account. The cross section of pion-proton pair photoproduction in the ¹⁶O(γ,π⁰p) reaction was calculated.     

Numerical study of local and global persistence in directed percolation

The local persistence probability P _l (t) that a site never becomes active up to time t, and the global persistence probability P _g (t) that the deviation of the global density from its mean value does not change its sign up to time t are studied in a (1+1)-dimensional directed percolation process by Monte-Carlo simulations. At criticality, starting from random initial conditions, P _l (t) decays algebraically with the exponent . The value is found to be independent of the initial density and the microscopic details of the dynamics, suggesting is an universal exponent. The global persistence exponent is found to be equal or larger than . This contrasts with previously known cases where . It is shown that in the special case of directed-bond percolation, P _l (t) can be related to a certain return probability of a directed percolation process with an active source (wet wall). Received: 15 December 1997 / Revised: 6 April 1998 / Accepted: 29 May 1998     

A theoretical study of the npk configurations

An up-to-date picture of the known np² and np³ configurations is presented by plotting the reduced energy ? against ψ = ξ_p/(5F₂ + ξ_p) according to Edlén. It is concluded that the p² level values of S XI, Sc XVI, Ti XVII, V XVIII, Ni XV and Te III, and the p³ level values of Al VII, Si VIII, P IX, Cl X, Se II and Xe IV need to be improved. Edlén's (1972) work on n = 2 and Svensson's (1971) work on n = 3 give a very satisfactory fit to our ψ-? graphs. The (F₂ - ξ_p) V_sψ graphs enable us to study coupling variations along the same and different isoelectronic sequences.The Z-dependence of the ground intervals 4s² 4p⁴ have been studied theoretically for the first time. The level values are represented, within less than 0.2% error, by semi-empirical formulae having 3–5 adjusted parameters and are based on data obtained from laboratory observations. The results provide means for checking laboratory and astrophycial identifications and measurements.     

Numerical analysis of non-confocal configurations of a hybrid stable-unstable resonator

The results of numerical simulations are reported modeling the behavior of a unidimensional Hybrid Stable-Unstable Resonator (HSUR) in strongly non-confocal configurations. Our analysis shows that such a resonator setup can produce cavity losses consistent with our design requirements and extract a Beam with Propagation Parameter better than 3 mm mrad.     

Numerical study of pseudowavefunctions for alkali atoms

Smooth pseudowavefunctions based on known valence and core functions are calculated and displayed for atomic Li, Na and K. These are used to examine some of the approximations employed in pseudopotential calculations; in particular, that of replacing the pseudowavefunction by a constant in the core region. The possibility of neglecting inner core states in pseudopotential calculations is discussed in the light of pseudowavefunctions calculated using only the core state of highest energy.     

Electron pairs for HTSC

A simple physical picture of superconductivity is proposed for extremely doped CuO₂ planes. It possesses features that are observed for HTSC, such as a high superconducting transition temperature, $d_{x^2 - y^2 } $ the symmetry of order parameter, and the coexistence of a one-electron Fermi surface and the Bose-Einstein condensate of preformed electron pairs.     

Analysis of optical configurations for ESPI

An ESPI optical arrangement consisting of a combination of three illumination and one reference beams is compared to a system with three optical arms corresponding to an out-of-plane and two in-plane interferometers. Experimental data for each component of the displacement vector obtained with both systems are presented and discussed.     

Comparative study of corona discharge simulation techniques for electrode configurations inducing non-uniform electric fields

Numerical modeling of corona discharges has followed the same set of procedures for many years. Corona discharges on large scales are modeled only for ion drift, neglecting ionization. Studies of the ionization zone are often conducted in uniform axisymmetric configurations. However, in configurations that induce non-uniform electric fields, a combination of the two procedures is necessary to accurately capture the discharge physics and ion distribution. The present study conducts numerical simulations of a wire-cylinder corona using both the models and demonstrates the necessity of including the ionization physics to obtain improved accuracy, particularly in the presence of non-uniform electric fields.     

Numerical study of the extinction matrix for a plate crystal

Energy and polarization characteristics of optical radiation passed through a semitransparent plate crystal with a preset orientation in space are studied numerically within the framework of the method of physical optics. Results of calculations of the extinction matrix elements versus particle size, refractive index, crystal orientation, and incident radiation wavelength (from 0.5 to 15 μm) are presented. It is demonstrated that K₁₁, K₁₂, and K₃₄ are most informative among the elements of the extinction matrix. It is established that the first of them is most sensitive to changes in the microphysical and orientational parameters of the particle when the angle of radiation incidence on the plate changes from 0 to 20°, and the nondiagonal elements are most sensitive when the angle of radiation incidence is greater than 40°. The characteristics of the total field scattered near the forward direction are determined. It is established that their dependence on the physical parameters of the crystal is most strong at scattering angles smaller than or equal to 4° and wavelengths from the IR range (in particular, from the atmospheric transparency window).     

A computer simulation study of the ground-state configurations of Fe and Fe-Al clusters

Using the noncentral embedded atom model potential recently proposed by Besson and Morillo for bulk alloys (), we performed computer simulations to predict the ground-state configurations of and clusters (). The computed structures of clusters are in general agreement with such theoretical results as have been obtained by density functional calculations (i.e. for ). The results for Fe-rich clusters show surface segregation of Al, which is in keeping with the findings of a previous study of clusters. Received 29 April 1999     

Stacked central configurations for the spatial six-body problem

In this paper we show the existence of three new families of stacked spatial central configurations for the six-body problem with the following properties: four bodies are at the vertices of a regular tetrahedron and the other two bodies are on a line connecting one vertex of the tetrahedron with the center of the opposite face.     

Potential of electron paramagnetic resonance to study Einstein-Podolsky-Rosen-Bohm pairs

The potential of electron paramagnetic resonance (EPR) methods to study the correlation of the states of two noninteracting spins prepared in the singlet state (Einstein-Podolsky-Rosen-Bohm [EPRB] pairs) is discussed. EPR methods with a selective excitation of spins in the EPRB pairs allow one, in principle, to reveal this correlation of spin states if single-spin measurements are performed. However, it is illustrated that the conventional ensemble EPR experiments, when the average values of projections of the spin moments are observables, fail in studying the correlation of spins in EPRB pairs. An exploitation of the EPR phenomenon to study the correlation of spins for ensembles of EPRB pairs needs some modifications of the experimental approach: either the indirect detection of EPR signals (new observables) should be used or the EPRB pairs should be transferred to another state when the spin-spin interaction becomes essential, while EPR observables manifest the spin correlation in the precursor EPRB pair state. In this respect it appears that in spin chemistry many results were already obtained which demonstrate that it is a reality that two spins might occupy the “entangled” (correlated) state, when there is no interaction between them. The results obtained in spin chemistry confirm the quantum mechanical predictions for spin-correlated pairs of spins which can be considered as a realization of EPRB pairs.     

ESR study of exchange coupled pairs in copper diethyldithiocarbamate

ESR investigations on exchange coupled pairs of Cu ions in single crystals of Cu(dtc)₂, isomorphously diluted with the corresponding diamagnetic zinc salt, are reported. The spin Hamiltonian parameters for the coupled species (S=1) are:g _‖=2.1025,g ₊=2.031,A=75.1×10⁻⁴ cm⁻¹,B=14.8×10⁻⁴,D=276.0×10⁻⁴ cm⁻¹ andE=46.7×10⁻⁴ cm⁻¹. While theg andA tensors show tetragonal symmetry, the zeor-field splitting tensor is rhombic and has principal axes different from those of theg andA tensors. Intensity measurements made down to 4.2 K indicate that the exchange is ferromagnetic with |FFF| ∼ 10 cm⁻¹. Direct dipole-dipole interaction appears to be the major contribution to the zero-field splitting. A calculation on the distributed point dipole model shows that dipolar interaction is considerably modified by the high covalency of the Cu-S bond and accounts for the rhombic nature of the tensor. The possible exchange mechanisms in Cu(dtc)₂—direct exchange and superexchange through the bridging sulphurs—are discussed.