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Dynamics of Dusty Pair-Ion-Electron Plasma Modeled by the Cylindrical Kadomtsev-Petviashvili Equations 用圆柱Kadomtsev-Petviashvili方程模拟的尘埃对离子-电子等离子体动力学
Pub Date : 2021-03-17 DOI: 10.11648/J.AJMP.20211001.13
Bertrand Noel Tagne Wafo, F. M. Kakmeni
The nonlinear propagation and stability of dust ion-waves in plasma is analytically and numerically investigated. By using the the standard reductive perturbation method, the electrostatic potential in dusty pair-ion-electron plasma is modelled by cylindrical Kadomtsev-Petviashvili (CKP) equation. The soliton solutions are obtained using the direct integration for single soliton solution and the Hirota bilinear method to find multisoliton solution of the system. It is noticed that the Hirota method better illustrate the physical reality of dust pair-ion plasma since it generalizes different forms of solutions. From the numerical simulations, it is obseved that, the plasma parameters strongly influence the properties of the soliton solution, namely, the amplitude and the width. The analysis of the stability of the soliton solutions revels that the stable solution co-propagates with seven other solutions, eigenmodes of the Legendre equation. These modes contain basic symmetry and axisymmetric configuration consistent with relevant experimental observations in existing experiments.
对尘埃离子波在等离子体中的非线性传播和稳定性进行了分析和数值研究。采用标准约化微扰方法,用圆柱形Kadomtsev-Petviashvili (CKP)方程模拟了尘埃对电子等离子体中的静电势。利用单孤子解的直接积分法和求系统多孤子解的Hirota双线性法得到了系统的孤子解。值得注意的是,Hirota方法更好地说明了尘埃对等离子体的物理现实,因为它推广了不同形式的溶液。数值模拟结果表明,等离子体参数对孤子溶液的振幅和宽度有较大的影响。对孤子解的稳定性分析表明,稳定解与勒让德方程的特征模解共传播。这些模态包含基本对称和轴对称构型,与已有实验观察结果一致。
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引用次数: 1
The Evolution of Star Formation Rate Density of Galaxies 星系中恒星形成速率密度的演化
Pub Date : 2021-02-20 DOI: 10.11648/J.AJMP.20211001.11
J. Wirsich
We present a semi-analytical calculation of the global star formation density (SFD) by using the well constrained cold dark matter (CDM) halo mass function. Both, halo masses MH(z) and stellar masses M*(z) are taken from observations of Lyα emitter (LAEs) and/or Lyman break galaxies (LBGs). Most of them, spectroscopically selected, are characterized by high star formation rates. The view of galaxy formation is mainly based on the hierarchical (“botton-up”) cold dark matter model for structure formation. We have used the connection between the halo mass and the star formation rate in galaxies of the halo mass MH at redshift z. Our model has the advantage that we are able to calculate the global star formation rate ρ*(z) (in Mʘy-1Mpc-3) by a closed equation. All parameters (MH; M* and n) have a well-defined physical meaning. From the CDM spectrum, the power law index of the halo mass function is well constrained. Our results are compiled in Table 1 and Figure 1. Here our results are compared with observations and hydrodynamical simulations. The physical meaning of the evolution of comoving cosmic star density as a function of redshift with three epochs is discussed. We find a good agreement between the SFD inferred from observations and our model in the range of redshifts z = 0 - 7.
本文提出了一种基于约束冷暗物质晕质量函数的全球恒星形成密度(SFD)的半解析计算。光晕质量MH(z)和恒星质量M*(z)都是从Lyα发射星系(LAEs)和/或Lyman破星系(LBGs)的观测中得到的。它们中的大多数,经过光谱选择,以高恒星形成率为特征。星系形成的观点主要基于结构形成的分层(“自下而上”)冷暗物质模型。我们使用了晕质量和星系中晕质量MH在红移z的恒星形成率之间的联系。我们的模型的优点是我们能够通过一个封闭方程计算全球恒星形成率ρ*(z)(在M * y-1Mpc-3中)。所有参数(MH;M*和n)具有明确定义的物理意义。从CDM谱来看,光晕质量函数的幂律指数得到了很好的约束。我们的结果编译在表1和图1中。在这里,我们的结果与观测和流体动力学模拟进行了比较。讨论了共动宇宙恒星密度随三个时期红移的演化的物理意义。在红移z = 0 - 7的范围内,我们发现从观测推断的SFD与我们的模型之间有很好的一致性。
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引用次数: 0
Thermoelectric and Galvanomagnetic Properties of the Alloy Bi2Te3 + 0.04 Weight% Ni in the Temperature Range 77 ÷ 300 K Bi2Te3 + 0.04重量% Ni合金在77 ~ 300 K温度范围内的热电和电磁性能
Pub Date : 2021-01-01 DOI: 10.11648/j.ajmp.20211006.12
Toolanboy Marifjonovich Azimov, Kizlarhon Isroilovna Gaynazarova, Maksadjon Karimberdiyvich Onarkulov, Abror Abduvosidovich Yuldashev
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引用次数: 1
Determining the Dirac CP Violation Phase and Neutrino Mass Hierarchy 确定狄拉克CP破坏相和中微子质量层次
Pub Date : 2021-01-01 DOI: 10.11648/j.ajmp.20211004.11
Zoran Bozidar Todorovic
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引用次数: 0
Nucleation Phenomena Interpreted by Fluctuation/Dissipation Theory 波动/耗散理论解释的成核现象
Pub Date : 2021-01-01 DOI: 10.11648/j.ajmp.20211003.12
Nicholas F. Borrelli, Joseph F. Schroeder
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引用次数: 0
Elastic Scattering of Electrons by Helium Atoms in Born Approximation 玻恩近似下氦原子对电子的弹性散射
Pub Date : 2020-12-08 DOI: 10.11648/J.AJMP.20200906.11
S. Diallo, L. Gomis, I. Faye, M. Tall, I. Diédhiou
Elastic scattering phenomena arising in electron-helium scattering are dominant processes. The determination of accurate elastic differential cross sections for electron-helium scattering has a considerable importance. An accurate calculation of the plane-wave first Born exchange amplitude of electrons elastic scattering by helium atoms is reported. The direct and exchange amplitudes are calculated analytically from the Hartree-Fock orbital wave functions by using a variational method. The forms of these wave functions are very suitable for analytical calculations and powerful to generalize to more complex atomic systems. The interaction potential is modelled by the static Coulomb interaction between the incident electron and the atomic system. The differential cross sections are calculated at intermediate energies taking into account the exchange effects. We have established in the high energies region, by neglecting the exchange effects, the analytical expressions of the total and momentum transport cross sections suitable for the calculation of the plasma transport properties. A very compact form of the Born amplitude has been proposed as a finite series of Gaussian functions, which represents a major tool in the calculations of differential cross sections of two-electron atomic systems. Numerical results are used to analyze the contribution of the exchange amplitude to the differential cross sections at intermediate and high energies. The differential cross sections are calculated for the energy range 30-400 eV. We find good agreement in high energy domain scattering with experimental results and other sophisticated calculations without using any adjustable parameter.
在电子-氦散射中产生的弹性散射现象是主要过程。电子-氦散射弹性微分截面的精确计算具有重要意义。本文报道了氦原子弹性散射电子的平面波第一玻恩交换振幅的精确计算。用变分法从Hartree-Fock轨道波函数中解析计算了直接振幅和交换振幅。这些波函数的形式非常适合于分析计算,并且可以推广到更复杂的原子系统。相互作用势由入射电子与原子系统之间的静态库仑相互作用来模拟。考虑交换效应,计算了中间能量下的微分截面。在忽略交换效应的情况下,我们在高能区建立了适合计算等离子体输运性质的总输运截面和动量输运截面的解析表达式。波恩振幅的一种非常紧凑的形式是高斯函数的有限级数,它代表了计算双电子原子系统微分截面的一个主要工具。利用数值结果分析了交换幅值对中、高能微分截面的贡献。计算了30 ~ 400ev能量范围内的微分截面。在不使用任何可调参数的情况下,我们发现高能域散射与实验结果和其他复杂的计算结果吻合得很好。
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引用次数: 0
A Theoretical Explanation on Gell-Mann-Nishijima Formula with Singular Number and the Establishment of Lepton Quantum Number Constrained Equation 奇异数Gell-Mann-Nishijima公式的理论解释及轻子量子数约束方程的建立
Pub Date : 2020-12-08 DOI: 10.11648/J.AJMP.20200906.12
Hua Ma
In this paper, two fundamental problems of particle physics are studied theoretically. The first one is: to solve the problem of establishing general quantum number constrained equation, the symmetry transformation mechanism of charge eigenstates for elementary particles is adopted, and the general quantum number constrained equations are established, which are applicable to physical particles. For hadrons, an equation is completely consistent with Gell-Mann-Nishijima formula. For leptons, the lepton quantum numbers are exactly the solutions of an equation, which is just the lepton quantum number constrained equation. The second problem is: to solve the problem of understanding singularity and calculating singular numbers, a hypothesis that a composite particle may has virtual structure is proposed. According to this hypothesis, the singular particles must be composite particles, and have virtual structures. In a virtual structure, the particles and antiparticles of component particles can form particle-antiparticle pairs, which have great influence such as improving mass and changing life of composite particles. Therefore, the composite particle with particle-antiparticle pairs in its virtual structure is singular particle, and the singular number is the number of particle-antiparticle pairs. These two theoretical results are in good agreement with the already achieved experimental results of particle physics, can explain the related phenomena of physical particles from a deeper physical mechanism, and theoretically predict the existence of singular leptons and several new singular hadrons.
本文从理论上研究了粒子物理的两个基本问题。一是:为解决一般量子数约束方程的建立问题,采用基本粒子电荷本征态的对称变换机制,建立了适用于物理粒子的一般量子数约束方程。对于强子,方程完全符合Gell-Mann-Nishijima公式。对于轻子,轻子量子数就是一个方程的解,这个方程就是轻子量子数约束方程。第二个问题是:为了解决理解奇异点和计算奇异数的问题,提出了复合粒子可能具有虚拟结构的假设。根据这一假设,奇异粒子必须是复合粒子,并且具有虚结构。在虚拟结构中,组成粒子的粒子和反粒子可以形成粒子-反粒子对,这对复合粒子质量的提高和寿命的改变有很大的影响。因此,在其虚结构中具有粒子-反粒子对的复合粒子为奇异粒子,奇异数为粒子-反粒子对的个数。这两个理论结果与粒子物理学已经取得的实验结果很好地吻合,可以从更深的物理机制上解释物理粒子的相关现象,并从理论上预测了奇异轻子和几种新的奇异强子的存在。
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引用次数: 2
On the Justification and Validity of the Kennard Inequality 论肯纳德不等式的正当性和有效性
Pub Date : 2020-12-04 DOI: 10.11648/j.ajmp.20200905.12
Haengjin Choe
In 1927, Earle Hesse Kennard derived an inequality describing Heisenberg’s uncertainty principle. Since then, we have traditionally been using the standard deviation as the measure of uncertainty in quantum mechanics. But Jan Hilgevoord asserts that the standard deviation is neither a natural nor a generally adequate measure of quantum uncertainty. Specifically, he asserts that the standard deviations are inadequate to use as the quantum uncertainties in the single- and double-slit diffraction experiments. He even tells that from these examples it will become clear that the standard deviation is the wrong concept to express the uncertainty principle generally and that the Kennard relation has little to do with the uncertainty principle. We will investigate what are adequate as the measures of quantum uncertainty. And, beyond that, we will investigate the effects of multiplying the two uncertainties; namely, characteristics which is hiding in deep interior of the Kennard inequality. Through investigations we’ll come to naturally realize that his assertions were wrong. All of our discussions will help raise understanding of the Heisenberg uncertainty principle. Our discussions will afford us an opportunity to think about the essence of the Fourier transform. The aim of this paper is to draw conclusions about whether the Kennard inequality is justified or not.
1927年,Earle Hesse Kennard导出了一个描述海森堡测不准原理的不等式。从那时起,我们传统上一直使用标准偏差作为量子力学中不确定性的度量。但是Jan Hilgevoord断言,标准偏差既不是量子不确定性的自然度量,也不是一般适当的度量。具体来说,他认为标准偏差不足以作为单缝和双缝衍射实验中的量子不确定度。他甚至告诉我们,从这些例子中可以清楚地看出,标准偏差是一般表达测不准原理的错误概念,肯纳德关系与测不准原理几乎没有关系。我们将研究什么作为量子不确定性的度量是适当的。除此之外,我们将研究将两个不确定性相乘的影响;也就是隐藏在肯纳德不等式内部深处的特征。经过调查,我们自然会认识到他的断言是错误的。我们所有的讨论将有助于提高对海森堡测不准原理的理解。我们的讨论将使我们有机会思考傅里叶变换的本质。本文的目的是得出肯纳德不等式是否成立的结论。
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引用次数: 1
Dynamics of the Quantum Discord with Weak Measurement for a Two-atom System in Thermal Reservoirs 热储中双原子系统量子不和谐的弱测量动力学
Pub Date : 2020-11-11 DOI: 10.11648/j.ajmp.20200905.11
M. Bai, H. Xu, Xue-qun Yan
Weak measurement is a kind of state partial collapse measurement developed on the basis of von Neumann measurement and positive operator value measurement, which allows us to explore the quantum world which has the least influence on the research system. Based on the weak measurement theory, the dynamics of quantum discord for two isolated atoms in their own thermal reservoirs is presented. We examine the time evolution of both standard quantum discord and quantum discord with weak measurement for the two-atom system, and analyzes the differences between the standard quantum discord and quantum discord with weak measurement in the evolution process with time, as well as the general role of the strength parameter in determing the discord and affecting its dynamic evolution. We show that quantum discords depend on how weak or strong one perturbs the quantum system. We also show that the difference of the standard quantum discord and the quantum discord with weak measurements increases as the strength parameter decreases. This means that the weak measurements can capture more quantum discord of a bipartite system. Our results show that the weak measurement performed on one of the subsystems can lead to the quantum discord that is a more natural measure of quantum correlations than the standard quantum discord captured by the projective measurements.
弱测量是在冯诺依曼测量和正算符值测量的基础上发展起来的一种状态部分坍缩测量,它使我们能够探索对研究系统影响最小的量子世界。基于弱测量理论,给出了两个孤立原子在各自热储中的量子不谐动力学。研究了双原子系统的标准量子不和谐和弱测量量子不和谐的时间演化,分析了标准量子不和谐和弱测量量子不和谐随时间的演化过程的差异,以及强度参数在确定不和谐及其动态演化中的一般作用。我们证明量子不和谐取决于一个扰动量子系统的强弱。我们还发现,随着强度参数的减小,标准量子不和谐与弱测量的量子不和谐之差增大。这意味着弱测量可以捕获双部系统中更多的量子不和谐。我们的研究结果表明,在其中一个子系统上执行的弱测量可能导致量子不和谐,这是一种比投影测量捕获的标准量子不和谐更自然的量子相关性测量。
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引用次数: 1
Charge-Mass Equivalence leading to Ilectron from the Electron 从电子产生电子的电荷-质量等价
Pub Date : 2020-09-15 DOI: 10.11648/J.AJMP.20200904.12
D. Giri, Ian Leonard Gallon, C. Baum
Hydrogen atom was considered as the smallest “bit of matter” until the electron was discovered. Nearly all attributes of the electron have been experimentally measured except for its radius. Electron’s radius has been derived in classical mechanics. The angular momentum of the electron has been understood as a purely quantum mechanical effect. In this paper, we have established an equivalence between the charge and mass of a fundamental particle. This leads to a definition of a complex charge or a complex mass, which combine both charge and mass. Every fundamental particle with charge and mass can be defined by a single complex charge. Interaction of two complex charges leads to the familiar Coulomb and Gravitational forces. It also points out the possibility of a 5th force of nature. By writing the charge and mass of the electron as mass and charge, we come up with a new particle which we have called the ilectron. Some attributes of the ilectron have been derived in this paper and its relation to Planck’s mass and charge are explored. This is a comprehensive paper that has been adapted from material we published in [1-3] for disseminating this information in the Physics community.
氢原子被认为是最小的“物质”,直到电子被发现。除了半径外,电子的几乎所有属性都已被实验测量过。电子的半径在经典力学中已经推导出来。电子的角动量被理解为纯粹的量子力学效应。在本文中,我们建立了一个基本粒子的电荷和质量之间的等价。这导致了复电荷或复质量的定义,它结合了电荷和质量。每一个带电荷和质量的基本粒子都可以用一个复合电荷来定义。两个复杂电荷的相互作用产生了我们熟悉的库仑力和万有引力。它还指出了第五种自然力存在的可能性。通过把电子的电荷和质量写成质量和电荷,我们得到了一种新的粒子,我们称之为电子。本文推导了电子的一些属性,并探讨了它们与普朗克质量和电荷的关系。这是一篇综合的论文,改编自我们在[1-3]中发表的材料,以便在物理社区传播这些信息。
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引用次数: 1
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American Journal of Modern Physics
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