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Fractional Hamiltonian of Nonconservative Systems with Second Order Lagrangian 二阶拉格朗日非保守系统的分数阶哈密顿量
Pub Date : 2018-08-24 DOI: 10.11648/j.ajpa.20180604.12
Ola A. Jarab’ah, K. I. Nawafleh
In this paper, the nonconservative systems with second order Lagrangian are investigated using fractional derivatives. The fractional Euler Lagrange equations for these systems are obtained. Then, fractional Hamiltonian for these systems is constructed, which is used to find the Hamilton's equations of motion in the same manner as those obtained by using the formulation of Euler Lagrange equations from variational problems, and it is observed that the Hamiltonian formulation is in exact agreement with the Lagrangian formulation. The passage from the Lagrangian containing fractional derivatives to the Hamiltonian is achieved. We have examined one example to illustrate the formalism.
本文利用分数阶导数研究了二阶拉格朗日非保守系统。得到了这些系统的分数阶欧拉-拉格朗日方程。然后,构造了这些系统的分数阶哈密顿量,用它与用变分问题的欧拉-拉格朗日方程的形式得到的哈密顿方程相同的方法求出了哈密顿方程,并观察到哈密顿公式与拉格朗日公式是完全一致的。实现了从包含分数阶导数的拉格朗日函数到哈密顿函数的过渡。我们考察了一个例子来说明形式主义。
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引用次数: 2
Inhomogeneous Coherent States in Small-World Networks: Application to the Brain Networks 小世界网络中的非均匀相干状态:在大脑网络中的应用
Pub Date : 2018-08-19 DOI: 10.11648/j.ajpa.20190703.12
B. Gadjiev, T. Progulova
We study the dynamics of the processes in the small-world networks with a power-law degree distribution where every node is considered to be in one of the two available statuses. We present an algorithm for generation of such network and determine analytically a temporal dependence of the network nodes degrees and using the maximum entropy principle we define a degree distribution of the network. We discuss the results of the Ising discrete model for small-world networks and in the framework of the continuous approach using the principle of least action, we derive an equation of motion for the order parameter in these networks in the form of a fractional differential equation. The obtained equation enables the description of the problem of a spontaneous symmetry breaking in the system and determination of the spatio-temporal dependencies of the order parameter in varies stable phases of the system. In the cases of one and two component order parameters with taken into account major and secondary order parameters we obtain analytical solutions of the equation of motion for the order parameters and determine solutions for various regimes of the system functioning. We apply the obtained results to the description of the processes in the brain and discuss the problems of emergence of mind.
我们研究了幂律度分布的小世界网络中的过程动力学,其中每个节点被认为处于两种可用状态中的一种。我们提出了一种生成这种网络的算法,分析地确定了网络节点度的时间依赖性,并使用最大熵原理定义了网络的度分布。讨论了小世界网络的Ising离散模型的结果,并在连续方法的框架下,利用最小作用量原理,导出了这些网络中阶参量的分数阶微分方程。所得到的方程能够描述系统中自发对称性破缺的问题,并确定系统各稳定相中序参量的时空依赖关系。在考虑主要和次要参数的单分量和双分量阶参数情况下,我们得到了阶参数运动方程的解析解,并确定了系统功能的各种状态的解。我们将获得的结果应用于大脑过程的描述,并讨论心灵涌现的问题。
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引用次数: 0
The Calculation of Force in Lattice Quantum Chromodynamics 点阵量子色动力学中力的计算
Pub Date : 2018-08-07 DOI: 10.11648/j.ajpa.20221001.12
Daming Li
The calculation of force is most difficult part in lattice Quantum Chromodynamics (QCD). This lecture gives the details of the force calculation in one-loop Symanzik improved action, Wilson fermion with clover term, asqtad fermion, HISQ fermion, rooted staggered fermion, smeared fermion, staggered Wilson fermion, overlap fermion and domain wall fermion. The even-odd precondition are also considered in these calculations.
力的计算是晶格量子色动力学中最困难的部分。本讲座详细介绍了单环赛门铁克改进作用下的力计算,带三叶草项的威尔逊费米子,带四叶草项的威尔逊费米子,带四叶草项的威尔逊费米子,带四叶草项的威尔逊费米子,带四叶草项的威尔逊费米子,带四叶草项的威尔逊费米子,带四叶草项的威尔逊费米子,带四叶草项的威尔逊费米子,带四叶草项的威尔逊费米子,带四叶草项的威尔逊费米子,重叠费米子和畴壁费米子。在这些计算中还考虑了奇偶前提条件。
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引用次数: 0
Nuclear Electric Quadrapole Moments (Q) in 58 Ni 58ni中核电四极矩(Q)
Pub Date : 2018-07-26 DOI: 10.11648/j.ajpa.20180604.11
Huda A. Ruzuqy, F. Z. Majeed
Nuclear Electric quadrapole moments Q in 58Ni for some selected levels have been investigated and calculated through Nuclear shell model and considering of 56Ni as an inert core with two active neutrons in a model space (2p3/2, 1f5/2 and 2p1/2) and the configuration mixing of the original states is also done. F5Pvh interaction has been utilized as a two body interaction to generate model space vectors with harmonic oscillator potential as a single particle wave function. OXBASH code is used to carry this calculations and the program of Core, Valence, Tassie (CVT) written in FORTRAN go language to calculate the Electric quadrapole moments between excited states themselves. All of these calculations have been carried through model space vectors only. One body density matrix elements (OBDM) for ground and Excited states is calculated in order to carry the calculations using single particle Transition matrix elements between excited states theme selves.
采用核壳模型,考虑56Ni为惰性核,在模型空间(2p3/2、1f5/2和2p1/2)中有两个活性中子,研究和计算了58Ni中某些选定能级的核电四极矩Q,并进行了原始态的组态混合。利用F5Pvh相互作用作为两体相互作用生成模型空间矢量,谐振子势作为单粒子波函数。用OXBASH代码进行计算,用FORTRAN go语言编写Core, Valence, Tassie (CVT)程序计算激发态之间的电四轴矩。所有这些计算都是通过模型空间矢量进行的。计算了基态和激发态的一个体密度矩阵元(OBDM),以便在激发态主题自我之间使用单粒子过渡矩阵元进行计算。
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引用次数: 0
Impurity State of Transition Group Elements in the Silicon Lattice in the Process of Their Interaction with Sulfur 硅晶格中过渡族元素与硫相互作用过程中的杂质态
Pub Date : 2018-06-14 DOI: 10.11648/J.AJPA.20180603.12
Sh. I. Askarov, Sharipov Bashirulla, Srazhev Solizhon, Toshboev Tuchi, Salieva Shokhista
On the basis of comparative analysis of electrical properties of silicon doped with sulfur and nickel respectively at temperature range of 1000-1250°C in 50°C increments and after their subsequent thermal annealing at temperature range of 400-950°C together with control samples of silicon doped with sulfur and nickel, it was revealed that impurity centers of sulfur and nickel do not interact with each other in the matrix of silicon. The absence of such interaction is possibly due to the fact that the electronic configuration of the impurity centers of nickel in the crystal lattice of silicon turns out to be in the filled 3d 1 0 state, which gives it the character of an inert gas. In view of the absence of interaction of sulfur and nickel in silicon, it is concluded that electrically neutral chemically bound complexes in silicon are formed between sulfur substitution centers and centers of transition metal atoms.
通过对比分析分别掺硫硅和镍硅在1000 ~ 1250℃温度范围内50℃增量和400 ~ 950℃温度范围内退火后的电学性能,发现在硅基体中,硫和镍的杂质中心不相互作用。这种相互作用的不存在可能是由于镍在硅晶格中的杂质中心的电子排布处于填充的3d - 10态,这使其具有惰性气体的性质。由于硅中没有硫与镍的相互作用,因此硅中的电中性化学键合配合物是在硫取代中心与过渡金属原子中心之间形成的。
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引用次数: 1
Optimization of Hydraulic Horsepower to Predict the Rate of Penetration 液压马力优化预测穿透速度
Pub Date : 2018-05-01 DOI: 10.11648/J.AJPA.20180603.11
Herianto
The rate of penetration has an important role in the success of a drilling operation, this is because if the rate of penetration is not optimum will have an impact on the cost incurred. Some factors that influence the rate of penetration are the weight on bit, rotation per minute and horsepower. Based on the analysis obtained WOB and RPM values are optimum so that optimization is done on horsepower. In this case study the well that will be analyzed is vertical well so that bit’s hydraulic optimization is performed using Bit Hydraulic Horse Power (BHHP) method by adjusting the nozzle size and circulation rate, this method will be optimum if BHHP / HPs ratio is 65%. Evaluation on trajectory 12 ¼ well “SGT-01” field “Tranusa", obtained bit’s hydraulics on the actual conditions at 2657.48 ft - 2723.10 ft depth interval obtained Bit Hydraulic Horse Power (BHHP) of 232.67 hp, Horse Power Surface (HPs) 499.82 hp, Horse Power per Square Inches (HSI) of 1.67 hp / in² and percentage (BHHP / HPs) of 46.55% (<65%) indicating less optimum then optimized hydraulic bit circulation rate optimized to 710 gpm with Horsepower Hydraulic Horse Power (HPH) of 936.47 hp, Horse Power per Square Inches (HSI) of 5.4 hp / in² and percentage (BHHP / HPs) of 65% (already optimum). The final result of the evaluation and optimization of bit hydraulics and the removal of cutting is predicted to increase ROP from 46 fph to 125.66 fph.
钻速对钻井作业的成功与否起着重要的作用,这是因为如果钻速不是最佳的,将对所产生的成本产生影响。影响钻进速度的因素包括钻头重量、每分钟旋转数和马力。通过分析得到了最优的钻压和转速值,从而对马力进行了优化。在本案例中,所分析的井为直井,通过调整喷嘴尺寸和循环速率,采用BHHP(钻头水力马力)方法进行钻头水力优化,当BHHP / HPs比为65%时,该方法最优。对“SGT-01”油田“Tranusa”的12¼井轨迹进行评估,在2657.48 ft - 2723.10 ft深度的实际条件下获得了钻头的水力参数,得到了钻头的水力马力(BHHP)为232.67 hp,表面马力(HPs)为499.82 hp,每平方英寸马力(HSI)为1.67 hp / in²,百分比(BHHP / HPs)为46.55%(<65%),表明优化后的水力钻头循环速度优化到710 gpm,马力水力马力(HPH)为936.47 hp。每平方英寸马力(HSI)为5.4 hp / in²,百分比(BHHP / HPs)为65%(已达到最佳)。通过对钻头液压系统进行评估和优化,并去除切削齿,预计ROP将从每小时46英里提高到每小时125.66英里。
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引用次数: 1
Methods for Assessing the Seismic Resistance of Subterranean Hydro Structures Under the Influence of Seismic Waves 地震波作用下地下水工结构抗震性能评估方法
Pub Date : 2018-02-23 DOI: 10.11648/J.AJPA.20180602.14
Safarov Ismail Ibrahimovich, Boltayev Zafar Ixtiyorovich
The paper considers the seismic resistance of subterranean hydro constructions of various shapes under the influence of seismic waves. The review is dedicated to the abovementioned issues. Recommendations on increasing seismic resistance of underground hydraulic structures under the action of seismic waves are suggested.
本文研究了地震波作用下不同形状的地下水电结构的抗震性能。该审查专门讨论上述问题。提出了在地震波作用下提高地下水工结构抗震性能的建议。
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引用次数: 6
Physical Properties of Copper Oxide Thin Films Prepared by Sol–Gel Spin–Coating Method 溶胶-凝胶旋涂法制备氧化铜薄膜的物理性能
Pub Date : 2018-01-29 DOI: 10.11648/J.AJPA.20180602.13
M. Dhaouadi, M. Jlassi, I. Sta, I. B. Miled, G. Mousdis, M. Kompitsas, W. Dimassi
In this study, copper oxide thin films prepared by the sol–gel method, have been deposed onto glass substrates by the spin coating technique. Our target was to study their properties and improve them for photovoltaic use. These properties were optimized by varying the temperature annealing and the molar concentration of the precursor solutions. The effects of the annealing temperature on the structural and optical properties of the thin films are studied. It was found that the film treated at 550°C shows a higher absorbance. Then by using this optimized temperature, CuO thin films of various molar concentrations, were deposited at the same experimental conditions. The structural analysis by X- ray diffraction (XRD) shows that all the samples are polycrystalline with monoclinic crystal structure. Raman scattering measurements of all thin films confirms the structure of CuO. The optical properties of the films were characterized by UV–Visible–NIR spectrophotometry, which shows that the films show high absorbance in the visible region. Their optical band gap decreases from 3.68 to 2.44 eV when the molar concentration of precursor solutions increases from 0.1 to 0.5 M. The electrical measurements show that the resistivity of the films varies slightly from 84 Ω cm to 124 Ω cm as the molar concentration increases.
本研究利用自旋镀膜技术,将溶胶-凝胶法制备的氧化铜薄膜沉积在玻璃基板上。我们的目标是研究它们的性能并改进它们用于光伏发电。通过改变退火温度和前驱体溶液的摩尔浓度来优化这些性能。研究了退火温度对薄膜结构和光学性能的影响。结果表明,在550℃下处理的膜具有较高的吸光度。然后在此优化温度下,在相同的实验条件下沉积不同摩尔浓度的CuO薄膜。X射线衍射(XRD)分析表明,样品均为单斜晶结构的多晶。所有薄膜的拉曼散射测量证实了CuO的结构。用紫外-可见-近红外分光光度法对膜的光学性能进行了表征,结果表明膜在可见光区具有较高的吸光度。当前驱体溶液的摩尔浓度从0.1 m增加到0.5 m时,薄膜的光学带隙从3.68 eV减小到2.44 eV。电学测量表明,随着摩尔浓度的增加,薄膜的电阻率在84 Ω cm到124 Ω cm之间变化不大。
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引用次数: 42
Study of Monte Carlo Simulator for Estimation of Anti-Scatter Grid Physical Characteristics on IEC 60627:2013-Based 基于IEC 60627:2013的抗散射网格物理特性估计蒙特卡罗模拟器研究
Pub Date : 2018-01-20 DOI: 10.11648/J.AJPA.20180602.12
W. Chung, Sang-Hyun Lee
The anti-scatter grid (grid) is a major component of X-ray imaging devices, improving the quality of the image by removing X-rays scattered while passing through the subject. However, problems such as image distortions or increasing the dose of a patient unnecessarily may result if the grid is not suitable for a specific digital x-ray receptor (detector.) Selecting a suitable grid can take significant work and testing due to the wide range of specifications and physical characteristic of both grid and digital imaging x-ray detectors. In order to reduce the time cost and to improve the accuracy of selecting a suitable grid, this study implemented a Monte Carlo simulation for estimating the physical characteristics of the grid and verified the accuracy of the result by comparing with the physical characteristics of the actual grid. For the verification, this study compared the estimated physical characteristics with the measured physical characteristics for ten (10) grids with different specifications. The physical characteristics were measured at RQR (Radiation Qualities in Radiation Beams emerging from the X-ray Source Assembly) 4/6/8/9 of the Radiation conditions and analyzed Transmission of Primary radiation (Tp), Transmission of Total radiation (Tt) and Transmission of Scattered radiation (Ts) of the physical characteristics of the grid. As a result of the analysis, less than 1% average deviation between simulation and physical measurement was observed with all ten (10) grids. The changes of the physical characteristics as the specifications (line density and ratio) of the grid changed were also evaluated, and found to have a Pearson’s correlation coefficient of 0.998 between simulation and measurements. From the above results, the proposed program in this paper is judged reasonable as a grid physical characteristics prediction program.
防散射网格(grid)是x射线成像设备的主要组成部分,通过消除x射线在穿过物体时的散射来提高图像质量。然而,如果网格不适合特定的数字x射线受体(探测器),则可能导致图像失真或不必要地增加患者剂量等问题。由于网格和数字成像x射线探测器的规格和物理特性范围广泛,选择合适的网格可能需要大量的工作和测试。为了减少时间成本,提高选择合适网格的准确性,本研究实现了对网格物理特性估计的蒙特卡罗模拟,并通过与实际网格物理特性的比较验证了结果的准确性。为了验证,本研究将十(10)个不同规格网格的估计物理特性与实测物理特性进行了比较。在辐射条件RQR (x射线源组件产生的辐射光束的辐射质量)4/6/8/9下测量了网格的物理特性,并分析了网格物理特性的一次辐射透射率(Tp)、总辐射透射率(Tt)和散射辐射透射率(Ts)。分析的结果是,在所有10个网格中,模拟和物理测量之间的平均偏差小于1%。对网格的物理特性随网格规格(线密度和比率)的变化进行了评价,发现模拟与实测之间的Pearson相关系数为0.998。从以上结果来看,本文提出的网格物理特性预测方案是合理的。
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引用次数: 4
Energy Levels Calculations in 23 Mg/ 23 Na and 47 Cr/ 47 V Mirror Nuclei 23mg / 23na和47cr / 47v镜像核的能级计算
Pub Date : 2018-01-17 DOI: 10.11648/j.ajpa.20180601.15
S. Mohammadi, Alireza Ghayeni, A. Roushan
Coulomb Displacement Energies in mirror nuclei 23 Mg, 23 Na and 47 Cr, 47 V have been calculated using shell model code OXBASH [1] and compared with experimental results. The calculations were carried out in the USD model space with the W Hamiltonian [2]. This code which is based on one of the most applicable nuclear models, the shell model, deals with evaluating energy levels in nuclei. A comparison had been made between computational results in this paper and the available experimental data to test theoretical shell model description of nuclear structure in mirror nuclei. The energy states of mirror nuclei are almost identical, except for the small effects due to Coulomb interaction where the symmetry in being broken. The calculated energy spectrum is in good agreement with the available experimental data.
利用壳层模型代码OXBASH[1]计算了23 Mg, 23 Na和47 Cr, 47 V镜像核的库仑位移能,并与实验结果进行了比较。在USD模型空间中使用W hamilton量进行计算[2]。这个代码是基于一个最适用的核模型,壳层模型,处理在核的能量水平的评估。本文的计算结果与现有的实验数据进行了比较,验证了理论壳模型对镜像核结构的描述。除了由于库仑相互作用而导致对称被打破的小影响外,镜像核的能态几乎是相同的。计算得到的能谱与实验数据吻合较好。
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引用次数: 2
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American Journal of Physics and Applications
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