Order convergence in infinite-dimensional vector lattices is not topological

In this note, we show that the order convergence in a vector lattice $X$ is not topological unless $\dim X<\infty$. Furthermore, we show that, in atomic order continuous Banach lattices, the order convergence is topological on order intervals

Hybrid fuzzy and sliding-mode control for motorised tether spin-up when coupled with axial vibration

A hybrid fuzzy sliding mode controller is applied to the control of motorised tether spin-up coupled with an axial oscillation phenomenon. A six degree of freedom dynamic model of a motorised momentum exchange tether is used as a basis for interplanetary payload exchange. The tether comprises a symmetrical double payload configuration, with an outrigger counter inertia and massive central facility. It is shown that including axial elasticity permits an enhanced level of performance prediction accuracy and a useful departure from the usual rigid body representations, particularly for accurate payload positioning at strategic points. A special simulation program has been devised in MATLAB and MATHEMATICA for a given initial condition data case

Revisiting the 'LSND anomaly' II: critique of the data analysis

This paper, together with a preceding paper, questions the so-called 'LSND anomaly': a 3.8 sigma excess of antielectronneutrino interactions over standard backgrounds, observed by the LSND Collaboration in a beam dump experiment with 800 MeV protons. That excess has been interpreted as evidence for the antimuonneutrino to antielectronneutrino oscillation in the \Deltam2 range from 0.2 eV2 to 2 eV2. Such a \Deltam2 range is incompatible with the widely accepted model of oscillations between three light neutrino species and would require the existence of at least one light 'sterile' neutrino. In a preceding paper, it was concluded that the estimates of standard backgrounds must be significantly increased. In this paper, the LSND Collaboration's estimate of the number of antielectronneutrino interactions followed by neutron capture, and of its error, is questioned. The overall conclusion is that the significance of the 'LSND anomaly' is not larger than 2.3 sigma.Comment: 30 pages, 16 figures, 6 table

Reply to 'Corrections to the HARP-CDP Analysis of the LSND Neutrino Oscillation Backgrounds'

The alleged mistakes in recent papers that reanalyze the backgrounds to the 'LSND anomaly' do not exist. We maintain our conclusion that the significance of the 'LSND anomaly' is not 3.8 sigma but not larger than 2.3 sigma.Comment: 3 page

Cross-sections of large-angle hadron production in proton- and pion-nucleus interactions VII: tin nuclei and beam momenta from \pm3 GeV/c to \pm15 GeV/c

We report on double-differential inclusive cross-sections of the production of secondary protons, charged pions, and deuterons, in the interactions with a 5% nuclear interaction length thick stationary tin target, of proton and pion beams with momentum from \pm3 GeV/c to \pm15 GeV/c. Results are given for secondary particles with production angles between 20 and 125 degrees. Cross-sections on tin nuclei are compared with cross-sections on beryllium, carbon, copper, tantalum and lead nuclei.Comment: 68 pages, 13 figure

Определение параметров лазерной обработки алмазов с применением метода конечных элементов и искусственных нейронных сетей

This paper provides the simulation of laser processing of diamonds by using a combination of artificial neural networks and the finite element method. The training data array and the data array for testing neural networks were generated in ANSYS. The calculations were performed for 600 types of input parameters, 60 of which were used to test artificial neural networks. The influence of the parameters of neural network models on the accuracy of determining temperatures in the laser processing area were studied. The parameters of neural networks were established that provide acceptable results in predicting temperatures generated by laser radiation in diamonds. The results obtained can be used to determine the technological parameters of the laser processing of diamonds.С помощью сочетания искусственных нейронных сетей и метода конечных элементов выполнено моделирование процесса лазерной обработки алмазов. Обучающий массив данных и массив данных для тестирования нейронных сетей были сформированы с использованием программы конечно-элементного анализа ANSYS. Расчеты выполняли для 600 вариантов входных параметров, 60 из которых использовали для тестирования искусственных нейронных сетей. Исследовано влияние параметров нейросетевых моделей на точность определения температур в зоне лазерной обработки. Установлены параметры нейронных сетей, обеспечивающие приемлемые результаты при прогнозировании температур, формируемых лазерным излучением в алмазах. Полученные результаты могут быть использованы при определении технологических параметров процессов лазерной обработки алмазов

Thermodynamic theory of epitaxial ferroelectric thin films with dense domain structures

A Landau-Ginsburg-Devonshire-type nonlinear phenomenological theory is presented, which enables the thermodynamic description of dense laminar polydomain states in epitaxial ferroelectric thin films. The theory explicitly takes into account the mechanical substrate effect on the polarizations and lattice strains in dissimilar elastic domains (twins). Numerical calculations are performed for PbTiO3 and BaTiO3 films grown on (001)-oriented cubic substrates. The "misfit strain-temperature" phase diagrams are developed for these films, showing stability ranges of various possible polydomain and single-domain states. Three types of polarization instabilities are revealed for polydomain epitaxial ferroelectric films, which may lead to the formation of new polydomain states forbidden in bulk crystals. The total dielectric and piezoelectric small-signal responses of polydomain films are calculated, resulting from both the volume and domain-wall contributions. For BaTiO3 films, strong dielectric anomalies are predicted at room temperature near special values of the misfit strain.Comment: 19 pages, 8 figure

Three-body resonances in He-6, Li-6, and Be-6, and the soft dipole mode problem of neutron halo nuclei

Using the complex scaling method, the low-lying three-body resonances of $^6$He, $^6$Li, and $^6$Be are investigated in a parameter-free microscopic three-cluster model. In $^6$He a 2$^+$, in $^6$Li a 2$^+$ and a 1$^+$, and in $^6$Be the 0$^+$ ground state and a 2$^+$ excited state is found. The other experimentally known 2$^+$ state of $^6$Li cannot be localized by our present method. We have found no indication for the existence of the predicted 1$^-$ soft dipole state in $^6$He. We argue that the sequential decay mode of $^6$He through the resonant states of its two-body subsystem can lead to peaks in the excitation function. This process can explain the experimental results in the case of $^{11}$Li, too. We propose an experimental analysis, which can decide between the soft dipole mode and the sequential decay mode.Comment: REVTEX, Submitted to Phys. Rev. C, 12 pages, 2 postscript figures are available upon request. CALTECH, MAP-16

Оптимизация параметров двухлучевой лазерной очистки кварцевого сырья

In the work, with the help of numerical simulation, the values of technological parameters are established, which provide effective two-beam laser cleaning of quartz raw materials. The optimization of two-beam laser cleaning of quartz raw materials was performed using the MOGA genetic algorithm in the ANSYS Work-bench program. Using the face-centered version of the central compositional plan of the experiment, a regression model of two-beam cleaning of quartz raw materials was obtained. The power density of a laser with the wavelength of 10.6 μm, the power density of a laser with the wavelength of 1.06 μm, the radius of a quartz particle, the radius of an impurity particle, and the processing time were used as variable factors. The maximum temperatures of quartz particles with impurities and quartz particles without impurities were used as responses. The regression model was tested. The results obtained allow us to conclude that there is a necessary correspondence between the regression model and the finite element analysis data. An assessment of the influence of processing parameters on the maximum values of the temperature of quartz particles was made. Optimization of two-beam laser cleaning of quartz raw materials was carried out according to the criterion of minimum processing time when reaching the maximum temperatures of quartz particles with an admixture of the melting temperature and limiting the maximum temperatures of quartz particles without an admixture to values below the melting temperature. Optimization was performed for two combinations of quartz and impurity particle sizes. The parameters obtained as a result of optimization and the parameters obtained as a result of finite element modeling are compared. The maximum relative error of the results obtained using the MOGA algorithm did not exceed 2.5 % when determining the maximum temperatures. As a result of the simulation, processing parameters have been established, the use of which will provide an increase in the productivity of two-beam purification of quartz raw materials.При помощи численного моделирования установлены значения технологических параметров, обеспечивающих эффективную двухлучевую лазерную очистку кварцевого сырья. Выполнена оптимизация двухлучевой лазерной очистки кварцевого сырья с использованием генетического алгоритма MOGA в программе ANSYS Workbench. С применением гранецентрированного варианта центрального композиционного плана эксперимента получена регрессионная модель двухлучевой очистки кварцевого сырья. В качестве варьируемых факторов принимали плотность мощности лазера с длиной волны излучения 10,60 мкм, плотность мощности лазера с длиной волны излучения 1,06 мкм, радиус частицы кварца, радиус частицы примеси и время обработки. В качестве откликов – максимальные температуры кварцевых частиц с примесью и без примеси. Проведена проверка регрессионной модели. Полученные результаты позволяют сделать вывод о наличии необходимого соответствия регрессионной модели данным конечно-элементного анализа. Выполнена оценка влияния параметров обработки на максимальные значения температуры кварцевых частиц. Оптимизацию двухлучевой лазерной очистки кварцевого сырья осуществляли по критерию минимума времени обработки при достижении значений максимальных температур кварцевых частиц с примесью температуры плавления и при ограничении значений максимальных температур кварцевых частиц без примеси значениями ниже температуры плавления. Оптимизацию выполняли для двух комбинаций размеров кварцевых частиц и частиц примеси. Проведено сравнение параметров, полученных в результате оптимизации, и параметров, полученных при конечно-элементном моделировании. Максимальная относительная погрешность данных, рассчитанных с использованием алгоритма MOGA, не превысила 2,5 % при определении максимальных температур. В результате моделирования установлены параметры обработки, использование которых обеспечит повышение производительности двухлучевой очистки кварцевого сырья