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In memory of Vladimir Ivanovich Astafyev (30.11.1948 – 08.02.2024) 纪念弗拉基米尔-伊万诺维奇-阿斯塔菲耶夫(1948 年 11 月 30 日 - 2024 年 2 月 8 日)
Pub Date : 2024-04-24 DOI: 10.18287/2541-7525-2024-30-1-7-22
L. V. Stepanova, M. N. Osipov, M. E. Fedina, N. V. Voropaeva, A. N. Krutov, V. V. Bondarenko
The article is dedicated to the memory of Doctor of Physical and Mathematical Sciences, Professor Vladimir Ivanovich Astafiev, whose professional activity for more than 35 years has been associated with Samara University. Scientific, teaching and organizational activities of V.I. Astafiev largely determined and will determine the scientific directions developed at the Faculty of Mechanics and Mathematics, and the educational activity at the Faculty of Mechanics and Mathematics. His boundless dedication to the university, his broad and deep education, and high mathematical culture allowed him to educate the whole pleiades of scientists and professors currently working at the university.
这篇文章是为了纪念物理与数学科学博士弗拉基米尔-伊万诺维奇-阿斯塔菲耶夫教授,他在萨马拉大学从事专业活动长达35年之久。弗拉基米尔-伊万诺维奇-阿斯塔菲耶夫的科学、教学和组织活动在很大程度上决定并将决定机械与数学系的科学发展方向以及机械与数学系的教育活动。他对大学的无限奉献精神、广博深厚的学识和高超的数学修养使他能够培养出目前在大学工作的众多科学家和教授。
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引用次数: 0
Prompt polarized J/ψ production at NICA within NRQCD and generalized parton model 在NRQCD和广义粒子模型内,在NICA迅速产生极化J/ψ
Pub Date : 2024-04-24 DOI: 10.18287/2541-7525-2024-30-1-96-111
A. Karpishkov, V. Saleev, K. Shilyaev
In our work we consider prompt J/ψ and ψ′ production within the approaches of nonrelativistic quantum chromodynamics and generalized parton model. We use various experimental data (√s = 200 GeV and √s =19.4 GeV) of charmonium production to fit octet nonperturbative matrix elements and averaged values of initial partons’ transverse momenta. Further, we make evaluation with the extracted parameters and predict J/ψ production cross section and polarization of J/ψ and ψ′ at NICA collider energy √s = 27 GeV.
在我们的工作中,我们在非相对论量子色动力学和广义部分子模型的方法中考虑了J/ψ和ψ′的迅速产生。我们利用粲产生的各种实验数据(√s = 200 GeV 和 √s =19.4 GeV)来拟合八元非微扰矩阵元素和初始粒子横坐标矩的平均值。此外,我们还利用提取的参数进行了评估,并预测了在 NICA 对撞机能量 √s = 27 GeV 时的 J/ψ 产生截面以及 J/ψ 和 ψ′的极化。
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引用次数: 0
Model of decomposition of the native absorption spectrum of Porphyridium purpureum culture 紫卟啉培养物原生吸收光谱的分解模型
Pub Date : 2024-04-24 DOI: 10.18287/2541-7525-2024-30-1-122-131
D. Chernyshev, V. Klochkova, A. Lelekov
A model of the native absorption spectrum of the red seaweed Porphyridium purpureum culture was developed in this work. The mathematical model of each pigment is the sum of Gaussian curves. To level the light scattering, the spectra of the culture were recorded on a spectrophotometer with an integrating sphere. To verify the model, a series of parallel measurements of photosynthetic pigment concentrations using standard biochemical methods and the Gaussian curve method were performed. It was shown that the proposed model with sufficient accuracy makes it possible to determine the concentration of the main photosynthetic pigments of Porphyridium purpureum culture without interfering with its growth processes.
本研究建立了红藻紫斑藻培养物的原生吸收光谱模型。每种色素的数学模型都是高斯曲线的总和。为了平衡光散射,在带有积分球的分光光度计上记录了培养物的光谱。为了验证该模型,使用标准生化方法和高斯曲线法对光合色素浓度进行了一系列平行测定。结果表明,所提出的模型具有足够的准确性,可以在不干扰紫卟啉培养物生长过程的情况下测定其主要光合色素的浓度。
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引用次数: 0
Relaxation oscillations in the Darie wind power plant model 达里风力发电厂模型中的弛豫振荡
Pub Date : 2024-04-24 DOI: 10.18287/2541-7525-2024-30-1-31-39
A. S. Kirsanova
The article discusses the mathematical model of the Daria small wind power plant. This installation is a type of vertical axis wind turbine named after its inventor, Georges Jean Marie Darrieux. The design consists of a vertically oriented shaft with curved blades or airfoils attached to it, forming a shape similar to an egg whisk. In today’s world, against the backdrop of climate change and steadily increasing energy demand, wind energy acts as a critical pillar of the transition to renewable energy sources. This technology helps reduce carbon emissions and mitigate humanity’s impact on the environment. In this context, wind energy is emerging not only as a means of supplying electricity, but also as a powerful catalyst for building a more sustainable and energy-efficient future. The equation of stationary modes is studied at the value of the external resistance of the dynamic model specified by the simplest equation. Conditions have been found under which relaxation oscillations are observed in the system.
文章讨论了达里亚小型风力发电站的数学模型。该装置是一种垂直轴风力涡轮机,以其发明者乔治-让-玛丽-达里厄的名字命名。其设计包括一个垂直方向的轴,轴上安装有弯曲的叶片或翼片,形成类似于蛋拂的形状。当今世界,在气候变化和能源需求稳步增长的背景下,风能成为向可再生能源过渡的重要支柱。这项技术有助于减少碳排放,减轻人类对环境的影响。在此背景下,风能不仅是一种新兴的电力供应手段,还是建设更可持续、更节能未来的强大催化剂。研究了最简单方程指定的动态模型外部电阻值下的静态模式方程。研究发现了系统出现弛豫振荡的条件。
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引用次数: 0
On the boundary conditions for a thin circular plate conjugated to a massive body 关于与大质量体共轭的薄圆板的边界条件
Pub Date : 2024-04-24 DOI: 10.18287/2541-7525-2024-30-1-50-63
K. B. Ustinov, D. V. Gandilyan
The problem of deformation under the action of uniform pressure of a circular plate coupled with a massive base is considered, while the condition for the coupling of the plate with the base is modeled using boundary conditions of the generalized elastic embedding type, i.e. the relationship between the bending moment and forces at the edge of the plate with displacements and rotation angles through the compliance matrix. The main goal of the work is to study the influence of the elasticity of the embedding on the elastic response of the plate. The solution to the problem was obtained in the formulation of the linear theory of plates, the theory of membranes in the approximation of homogeneity of longitudinal forces, and the Foppl — von Karman theory, also in the approximation of the assumption of homogeneity of longitudinal forces. The values of the coefficients of the compliance matrix were obtained using the finite element method for the auxiliary problem and compared with the values of the coefficients obtained for related problems by analytical methods. Numerical results were obtained for an aluminum wafer on a silicon base. The obtained solution was compared with the solution obtained for the rigid embedment condition for all three models used. It is shown that in the case of large deflections (several plate thicknesses), taking into account the compliance of the embedment becomes essential.
考虑了与大块基座耦合的圆板在均匀压力作用下的变形问题,而圆板与基座的耦合条件是使用广义弹性嵌入类型的边界条件来模拟的,即通过顺应矩阵来模拟圆板边缘的弯矩和力与位移和旋转角之间的关系。这项工作的主要目标是研究嵌入的弹性对板的弹性响应的影响。该问题的解决方案是根据板的线性理论、近似纵向力均匀性的膜理论以及 Foppl - von Karman 理论(也是近似纵向力均匀性的假设)得出的。使用有限元方法获得了辅助问题的顺应矩阵系数值,并将其与通过分析方法获得的相关问题的系数值进行了比较。针对硅基上的铝晶圆得出了数值结果。所获得的解决方案与所有三种模型在刚性嵌入条件下获得的解决方案进行了比较。结果表明,在大挠度(几个板厚)情况下,考虑嵌入物的顺应性变得至关重要。
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引用次数: 0
Dynamics of atom-atom entanglement in two-atom model with degenerate two-photon raman transitions 具有退化双光子拉曼跃迁的双原子模型中的原子-原子纠缠动力学
Pub Date : 2024-04-24 DOI: 10.18287/2541-7525-2024-30-1-112-121
A. Othman, E. K. Bashkirov
The exact dynamics of a model consisting of two two-level atoms interacting with the electromagnetic field mode of an ideal resonator through degenerate Raman transitions are found for coherent and thermal field states. The exact solution is used to calculate atom-atom negativity. It is shown that for separable initial states of atoms, their interaction with the resonator field does not lead to the occurrence of atom-atom entanglement. It was found that for the Bell initial states of atoms in the case of a coherent resonator field, the effect of sudden death of entanglement takes place for large average values of the number of photons in the resonator, while in case of thermal noise, this effect is absent for any intensities of the resonator field.
针对相干场态和热场态,研究了一个由两个两级原子组成的模型的精确动力学,该模型通过退化拉曼转换与理想谐振器的电磁场模式相互作用。精确解用于计算原子-原子负性。结果表明,对于可分离的原子初始状态,它们与谐振器场的相互作用不会导致原子-原子纠缠的发生。研究发现,在相干共振场情况下,对于原子的贝尔初始态,共振场中光子数量的平均值越大,纠缠的猝死效应就越大,而在热噪声情况下,共振场的任何强度都不会产生这种效应。
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引用次数: 0
On one solution of the problem of vibrations of mechanical systems with moving boundaries 关于有运动边界的机械系统振动问题的一种解决方案
Pub Date : 2024-04-24 DOI: 10.18287/2541-7525-2024-30-1-40-49
V. Litvinov, K. Litvinova
An analytical method of solving the wave equation describing the oscillations of systems with moving boundaries is considered. By changing the variables that stop the boundaries and leave the equation invariant, the original boundary value problem is reduced to a system of functional-difference equations, which can be solved using direct and inverse methods. An inverse method is described that makes it possible to approximate quite diverse laws of boundary motion by laws obtained from solving the inverse problem. New particular solutions are obtained for a fairly wide range of laws of boundary motion. A direct asymptotic method for the approximate solution of a functional equation is considered. An estimate of the errors of the approximatemethod was made depending on the speed of the boundary movement.
本文考虑了一种求解描述具有移动边界的系统振荡的波方程的分析方法。通过改变使边界停止并使方程不变的变量,可将原始边界值问题简化为函数差分方程组,并可使用直接和逆方法求解。本文介绍了一种反演方法,它可以通过求解反演问题得到的规律来逼近多种多样的边界运动规律。对于相当广泛的边界运动规律,可以获得新的特定解。考虑了函数方程近似解的直接渐近方法。根据边界运动的速度对近似方法的误差进行了估计。
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引用次数: 0
Modeling of semiconductor heterostructures for energy converters and sensors 用于能量转换器和传感器的半导体异质结构建模
Pub Date : 2024-04-24 DOI: 10.18287/2541-7525-2024-30-1-64-81
M. V. Dolgopolov, M. Elisov, S. A. Radzhapov, I. R. Rakhmankulov, A. S. Chipura
A set of modeling programs for constructing a sequence of energy zones of heterojunctions is presented for analyzing the distribution of charge carriers in the heterostructure and internal characteristics, for describing the processes of charge transfer and accumulation. Wolfram Mathematica analytical system and Delphi programming language were used. The main elements of materials are semiconductors, metals of contact structures and injection regions of nonequilibrium carriers. The programs allow determining the structural characteristics of materials, active zones and spatial charge regions, calculating quasi-Fermi levels and built-in potentials, as well as the efficiency of heterostructures in general and for separation-charge collection, charge accumulation, determining the type of metallization of barrier or ohmic contact.
本文介绍了一套用于构建异质结能量区序列的建模程序,用于分析异质结构中电荷载流子的分布和内部特征,描述电荷转移和积累过程。使用了 Wolfram Mathematica 分析系统和 Delphi 编程语言。材料的主要元素是半导体、接触结构金属和非平衡载流子注入区。通过这些程序可以确定材料的结构特征、活性区和空间电荷区,计算准费米级和内置电势,以及异质结构的一般效率和分离-电荷收集、电荷积累的效率,确定势垒或欧姆接触的金属化类型。
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引用次数: 0
ASSOCIATIVE PRODUCTION OF J/ψ -MESONS AND DIRECT PHOTONS AT THE ENERGY OF THE NICA COLLIDER 在nica对撞机能量下j /ψ介子和直接光子的关联产生
Pub Date : 2023-08-30 DOI: 10.18287/2541-7525-2023-29-2-48-61
L. E. Alimov, V. Saleev
The article considers the associated production of J/-mesons and direct photons at the energy of the NICA collider, s =27 GeV, in the Generalized Parton Model in the leading order of perturbation theory of the quantum chromodynamics. Hadronization of a pair of cc-quarks to a J/-meson is described in terms of two approaches: the color singlet model and the color evaporation model. Nonperturbative parameters of the models are fixed from comparison with the available experimental data on inclusive production of J/-mesons obtained at energies from s = 19 up to s = 200 GeV. It is shown that the processes of the associative production of J/ + can be used to study of gluon distribution functions depending on the transverse momentum in a proton.
本文考虑了量子色动力学微扰理论中广义Parton模型中NICA对撞机s = 27gev能量下J/-介子和直接光子的相关产生。用颜色单线态模型和颜色蒸发模型两种方法描述了一对cc-夸克到J/-介子的强子化。模型的非微扰参数是通过与现有的实验数据进行比较而确定的,这些数据是关于能量从s = 19到s = 200 GeV的J/-介子的包容性产生的。结果表明,结合产生J/ +的过程可用于研究依赖于质子横向动量的胶子分布函数。
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引用次数: 0
ENTANGLEMENT IN NONLINEAR TWO-QUBIT TAVIS — CUMMINGS MODEL 非线性双量子位tavis - cummings模型中的纠缠
Pub Date : 2023-08-30 DOI: 10.18287/2541-7525-2023-29-2-72-80
R. K. Zakharov, E. K. Bashkirov
In this work, we have studied the dynamics of entanglement of two identical superconducting qubits resonantly interacting with the one-mode field of a coplanar microwave cavity without loss through single-photon transitions in the presence of third- and fifth-order nonlinearities. Based on the solution of the equation of evolution of the system for the Fock initial states of the cavity field, the criterion of qubits entanglement negativity is calculated. The results of the negativity calculation show that for the initial separable states, the cavity nonlinearity can lead to a significant increase in the maximum degree of qubit entanglement. It is shown that for the initial entangledstates of qubits and intense cavity fields, taking into account nonlinearities leads to stabilization of the degree of entanglement of qubits in the cavity and contributes to the disappearance of the effect of the entanglement sudden death of qubits.
在这项工作中,我们研究了两个相同的超导量子比特在三阶和五阶非线性存在下通过单光子跃迁与共面微波腔的单模场共振相互作用而没有损失的纠缠动力学。在求解系统的Fock初始态演化方程的基础上,计算了量子比特纠缠负性的判据。负性计算结果表明,对于初始可分态,腔非线性可以导致最大量子比特纠缠度的显著增加。结果表明,对于量子比特的初始纠缠态和强腔场,考虑非线性可以使量子比特在腔中的纠缠度趋于稳定,并有助于消除量子比特纠缠猝死的影响。
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引用次数: 0
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Vestnik of Samara University. Natural Science Series
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