The importance of the privilege for appearance of inverse-power solutions in Ito equations

It is shown that the true cause of inverse-power distributions in the Ito equation is some kind of privilege which is hidden in the course of evolution of the system. Connections between Ito equations with additive noise or/and multiplicative noise with additive processes, multiplicative processes, multiplication of probabilities and return-to-the-origin problem are found. On the basis of two toy models, the appearance of particular functions for deterministic and stochastic forces in the Ito equation is explained. The paper stands as the next contribution confirming the hypothesis that the adequate privilege is the cause for the origin of inverse-power distributions in many phenomena.     

三维绝热简正波-抛物方程理论及应用

复杂海域通常存在环境参数的水平变化,这会导致声波在传播过程中发生水平折射,呈现出三维效应.利用绝热简正波-抛物方程理论进行三维声场建模,在垂直方向上使用标准简正波模型KRAKEN求解本征值和本征函数,水平方向上使用宽角抛物方程模型RAM求解简正波幅度.该模型物理意义清晰,计算效率高,但由于忽略了各号简正波之间的耦合,只适用于环境参数水平变化缓慢的问题.使用该模型分析了内波环境和大陆架楔形波导中的声波水平折射现象,结果表明,声波的水平折射将水平平面分为不同区域,每个区域内的声场结构明显不同.此外,声强在水平平面内的分布与声源频率和简正波号数有关,这种依赖关系是导致声信号频谱变化、波形畸变以及声场时空扰动的主要原因.     

A variational approach to dynamics of simple ionic crystals at high temperatures

The variational theory of anharmonic lattice dynamics is applied to the sodium chloride structure. The Coulomb and the inverse-power repulsive pair potential between ions are used. The mean-square displacements (MSDs) at zero pressure for individual ions, i.e., cation and anion, are calculated as a function of temperature without use of any fit parameters. It is shown that the ratio of the MSDs for anion and cation depends strongly on the ionic-radius ratio. The average MSDs are in reasonably good agreement with the experimental data obtained by a Bragg diffraction technique. A discussion is given of the relation between the divergent behavior of the MSDs which we find at some critical temperature and the observed melting point.A Humboldt fellow on leave of absence from Department of Engineering Science, Hokkaido University, Sapporo 060, Japan     

Spatial distribution of radiation intensity in high-frequency electrodeless discharge lamps

The spatial distribution of the intensity of radiation from high-frequency electrodeless discharge lamps of LV-2 and VSB-2 types, used as radiation sources in atomic absorption spectrometry, was investigated. Radiation intensity distributions over the cross section of the lamps were measured on the atomic and ionic lines of a buffer gas and a filler element. It is shown that in a lamp filled with buffer gas only the distribution of the intensity of atomic and ionic lines is dome-shaped, and that it is determined by the electron density distribution in the plasma as well as by the mechanism of excitation and ionization of the buffer gas. The distribution of the intensity of radiation from the filler element is strongly nonuniform, with a maximum that is concentric with the bulb walls and a minimum on the lamp axis. The observed spatial intensity distributions are explained by the redistribution of filler-element atoms over the volume of the lamp under the conditions of high electron concentrations. The time dynamics of the spatial intensity distributions during warm-up of the lamps was investigated. It is shown that the process of establishment of stationary distributions goes on nonmonotonically, which is due to the redistribution of energy among different components of the discharge plasma. Translated from Zhurnal Prikladnoi Spektroskopi, Vol. 67, No. 1, pp. 15–20, January–February, 2000.     

ENDF-VI库次级中子数据的能量守恒问题

在评价核数据库ENDF VI版的出射粒子能量分布数据(即文档5)中,一些核素在阈能附近的次级中子能量分布大多采用简单的近似方法描述,例如三角形分布或矩形分布.这些简单的近似描述,将导致产生散射矩阵的"双峰"现象,或使平均次级中子能量过大而产生负KERMA(ki netic energy release in materials)因子.针对这两个现象,通过细致的分析,讨论了这些现象的产生原因,并试对相关数据做一定的修正,以改善次级中子分布的能量守恒问题. In file 5 of ENDF VI, the arbitrary tabulated function (L=1) was applied to some threshold reactions of some nuclides. The energy distribution of secondary spectrum was given approximately as a triangular shape or rectangular shape at the threshold energy for some nuclides. The triangular shape distributions would cause two peaked energy distribution near the threshold energy, which must affect the group transfer matrix. The rectangular shape make the E′n too large, that may lead to...     

On time-dependent radiative transfer

An integral equation is developed for application to time-dependent laboratory experiments in which partial redistribution effects are important. The equation of transport with the Heasley-Kneer emission coefficient and the equation of statistical equilibrium lead to a time-dependent redistribution function containing an absorption—re-emission term which decays exponentially in time and a scattering term which is instantaneous. This integral equation does not agree with an equation written by Payne et al. [Phys. Rev. A 9, 1050 (1974)] that has been used to compare theory with experiments. The difference between the Payne equation and the equation developed here needs to be examined in detail, since it might under some circumstances be on the same order as the difference between partial and complete redistribution.     

Motzkin numbers out of Random Domino Automaton

Motzkin numbers are derived from a special case of Random Domino Automaton – recently proposed a slowly driven system being a stochastic toy model of earthquakes. It is also a generalisation of 1D Drossel–Schwabl forest-fire model. A solution of the set of equations describing stationary state of Random Domino Automaton in inverse-power case is presented. A link with Motzkin numbers allows to present explicit form of asymptotic behaviour of the automaton.     

Optimum distribution of additive damping for vibrating frames

Redistribution of an initially uniformly applied additive damping is numerically and experimentally investigated for a vibrating plane frame. It is found that an optimum redistribution can reduce amplitudes of resonant responses by up to 60% (with the cost or the weight of the damping treatment kept constant). Optimally selected non-uniform distributions of additive damping may thus be worth considering in many practical cases.     

Some remarks on generalised multipole expansions

Models for the mutual potential energy between two molecules proposed in the scientific literature often contain a sum of inverse-power interactions involving pairs of sites belonging to the two particles; in turn, these quantities are functions of a few scalar invariants involved in the problem at hand, and one is often interested in directly obtaining an explicit expression of the potential in terms of the latter; the extensively studied two-centre multipole expansion for the mutual electrostatic energy between two charge distributions is a well-known example of this procedure and of its restrictions. We consider here another, less widely known and possibly complementary, approach, proposed by ebek some years ago [J. ebek, Czech. J. Phys. B 38, 1185 (1988)]; the resulting formulae show that this procedure can become computationally favourable for sufficiently high molecular symmetry.     

Nonstationary chaotic oscillations in lasers with frequency-shifted feedback

The nonlinear dynamics of lasers with frequency-shifted delayed feedback are investigated. Resonant excitation of sustained relaxation oscillations by harmonic resonance is demonstrated. Self-induced switching between sustained relaxation oscillation and spiking oscillation is observed as the feedback coefficient is increased. Observed instabilities are well reproduced by numerical simulations of proposed model equations. A statistical analysis of this switching phenomenon is carried out numerically, and the results indicate that an inverse-power relation with the feedback coefficient determines the periods over which the system dwells in its relaxation-oscillation state.     

From microscopic taxation and redistribution models to macroscopic income distributions

We present here a general framework, expressed by a system of nonlinear differential equations, suitable for the modeling of taxation and redistribution in a closed society. This framework allows one to describe the evolution of income distribution over the population and to explain the emergence of collective features based on knowledge of the individual interactions. By making different choices of the framework parameters, we construct different models, whose long-time behavior is then investigated. Asymptotic stationary distributions are found, which enjoy similar properties as those observed in empirical distributions. In particular, they exhibit power law tails of Pareto type and their Lorenz curves and Gini indices are consistent with some real world ones.     

CuBr激光放电管声波共振现象的研究

为了使有广泛应用的CuBr激光器能稳定和高效运行,针对实验中出现的激光输出功率随放电频率起伏的情况,给出CuBr激光放电管内声波振动的数学模型。该模型选取圆柱形放电管轴为柱坐标轴对波动方程求解,通过数值计算,获得了放电管内声压分布的解析表达式。通过分析放电频率与激光管固有声振动频率的关系,明确了声共振会导致激光介质重新分布,它对激光输出功率有影响,理论计算结果和实验结果完全符合。     

Some Special Features of the Concentration Dependence of the Quasi-Line Spectrum Intensity

The nonlinearity mechanisms of the concentration dependence of the quasi-line spectrum intensity are investigated for 1,2-benzpyrene in n-hexane. It is established that redistribution of molecules over the energy levels, caused by the effect of internal filter created by substituted impurity molecules, can contribute significantly to changes in the spectrum intensity. It is demonstrated that this effect can cause redistribution of the quasi-line luminescence spectrum intensity for a multicomponent system.__________Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 3–6, April, 2005.     

Anisotropic distributions of electrical currents in high-<Emphasis Type="Italic">T</Emphasis><Subscript><Emphasis Type="Italic">c</Emphasis></Subscript> grain-boundary junctions

We developed a self-consistent method for the calculation of spatial current distributions in high-T _c grain-boundary junctions. It is found that crystallographic anisotropy of high-T _c superconducting electrodes results in the effects, which previously were not taken into account for interpretations of experimental data. Among them is a significant redistribution of electrical currents in superconducting electrodes in the vicinity of a grain boundary. In particular in the case of [100]-tilt bicrystal junctions, this current redistribution results in a substantial focusing to the top or bottom part of a thickness of the grain boundary, depending on “roof”- or “valley”-type of the grain boundary. This redistribution is accompanied by generation of vortex currents around the grain boundary, which leads to self-biasing of grain-boundary junctions by magnetic field nucleated by these vortex currents. It is shown that twinning or variation of geometrical shape of the high-T _c electrode may also result in intensive redistribution of electrical currents and nucleation of local magnetic fields inside a high-T _c superconducting electrodes.     

Distribution- versus correlation-induced anomalous transport in quenched random velocity fields

We study mechanisms of anomalous transport in quenched random media. Broad disorder point distributions and strong disorder correlations cause anomalous transport and can lead to the same anomalous scaling laws for the mean and variance of the particle displacements. The respective mechanisms, however, are fundamentally different. This difference is reflected in the spatial particle densities and first passage time distributions, which provide an indicator to identify the origins of anomalous transport.     

Depth of origin of sputtered atoms

Estimates are given for the distribution of the depth of origin of sputtered atoms in the low-fluence limit, as well as the corresponding distribution of atoms sputtered into a given energy interval. The former distribution is well described by an exponential profile, with the characteristic depth being consistent with previous results. The latter distribution is characterized by an energy-dependent depth scale and a shape that varies from exponential at low sputtered-atom energies to inverse-power form at higher energies.     

Tomographic study of the three-dimensional distribution of a high-fluence implant in a polymer

6 Li⁺ ions were implanted into PMMA at high flux up to fluences of 1×10¹⁵ cm^-2 under angles of 0° to 70° towards the surface normal. The Li depth distributions were determined by means of neutron depth profiling, and compared with theoretical simulations. The three-dimensional Li distribution was reconstructed from the one-dimensional depth profiles by means of a tomographic technique. It turned out that the measured Li depth distributions can be described by a superposition of Gaussian and exponential functions. This points at considerable Li mobility during or after the ion implantation, with trapping in unsaturable traps in the ion-irradiated region which roughly follow the electronic energy transfer distribution. The Li redistribution is more pronounced along the track direction than transversely to it. The normalized Li distributions in various implantation directions were fed into our tomographic program to reconstruct the three-dimensional distribution of the deposited lithium. As expected, the lithium preferentially distributes along the ion tracks. This work is another hint that mobility of implanted ions in solids does not proceed isotropically, but is strongly influenced by the radiation-damage distributions. Received: 11 May 1998 / Accepted: 9 September 1998 / Published online: 24 February 1999     

The effect of coulomb correlations on the nonequilibrium charge redistribution tuned by the tunneling current

We demonstrate that the tunneling current flowing through a system with Coulomb correlations leads to a charge redistribution between the different localized states. A simple model consisting of two electron levels is analyzed by means of the Heisenberg equations of motion taking correlations of electron filling numbers in localized states into account exactly in all orders. We consider various relations between the Coulomb interaction and localized electron energies. Sudden jumps of the electron density at each level in a certain range of the applied bias are found. We find that for some parameter range, inverse occupation in the two-level system appears due to Coulomb correlations. It is also shown that Coulomb correlations lead to the appearance of negative tunneling conductivity at a certain relation between the values of tunneling rates from the two electron levels.     

Influence of the Emission of Charged Particles on the Characteristics of Glow Discharges with Oscillating Electrons

The influence of the extraction of charged particles on the conditions of sustaining and the characteristics of a glow discharge with oscillating electrons is considered. It is shown that there is some pressure-dependent optimum level for the extraction of ions at which the energy efficiency of the ion source reaches a maximum. Experimentally, it has been established that the sustaining of a discharge is adversely affected by the run-off of fast ionizing electrons from the discharge, whereas the emission of slow plasma electrons can facilitate the sustaining of the high-current variety of discharge and even lead to a stabilization of an unstable gas-discharge structure. It has been shown that due to the different character of the spatial distributions of fast and slow particles in discharges with electrons oscillating in a magnetic field it is possible to realize highly efficient electron emission without loss of discharge stability by extracting electrons from the near-anode region.     

Crystal structure and interaction dependence of the crystal-melt interfacial free energy

We examine via molecular simulation the dependence of the crystal-melt interfacial free energy gamma on molecular interaction and crystal structure (fcc vs bcc) for systems interacting with inverse-power repulsive potentials, u(r)=epsilon(sigma/r)(n), 6< or =n< or =100. Both the magnitude and anisotropy of gamma are found to increase as the range of the potential increases. Also we find that gamma(bcc)相似文献