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Green function for the Grad-Shafranov operator Grad-Shafranov算子的绿色函数
Q4 Social Sciences Pub Date : 2022-01-01 DOI: 10.31349/revmexfise.19.010211
Julio Herrera Velázquez
The Grad-Shafranov equation, often written in cylindrical coordinates, is an elliptic partial differential equation in two dimensions. It describes magnetohydrodynamic equilibria in axisymmetric toroidal plasmas, such as tokamaks, and yields the poloidal magnetic flux function, which is related to the azimuthal component of the vector potential for the magnetic field produced by a circular (toroidal) current density. The Green function for the differential operator can be obtained from the vector potential for the magnetic field of a circular current loop, which is a typical problem in magnetostatics. The purpose of the paper is to collect results scattered in electrodynamics and plasma physics textbooks for the benefit of students in the field, as well as attracting the attention of a wider audience, in the context of electrodynamics and partial differential equations.
Grad-Shafranov方程通常写在柱坐标下,是一个二维的椭圆型偏微分方程。它描述了轴对称环形等离子体(如托卡马克)中的磁流体动力学平衡,并得出了极向磁通量函数,该函数与圆形(环形)电流密度产生的磁场矢量势的方位分量有关。微分算子的格林函数可由圆形电流环磁场的矢量位势得到,这是静磁学中的一个典型问题。本文的目的是在电动力学和偏微分方程的背景下,收集分散在电动力学和等离子体物理教科书中的结果,以供该领域的学生使用,并吸引更广泛的受众的注意。
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引用次数: 0
The ability to solve physics problems in symbolic and numeric representations 用符号和数字表示解决物理问题的能力
Q4 Social Sciences Pub Date : 2022-01-01 DOI: 10.31349/revmexfise.19.010209
Umrotul Umrotul, Aurelia Astria L. Jewaru, Senot Kusairi, N. A. Pramono
The aim of this study is to analyze the ability of students to solve the problems of linear motion kinematics expressed in symbolic and numeric representation. Research was survey with cross-sectional design. Research subjects included 26 first year undergraduate students in physics at one of the State Universities in Malang which was consisted of 10 men and 16 women. The research instrument was open-ended test of linear motion kinematics problems expressed in symbolic and numeric representations with a reability of 0,807 The research data were analyzed using descriptive and non-parametric inferential statistics. The results showed that the ability of students to solve linear motion kinematics problems in both symbolic and numeric representation was medium. Students had difficulty solving physical problems in both symbolic and numeric representations. It was also found that the problems of linear motion kinematics in symbolic representations were more difficult for students to solve than numeric representations. The study suggested further research to explore the causes of student difficulties more authentically, e.g. by interviewing or thinking aloud.
本研究的目的是分析学生解决以符号和数字表示的线性运动运动学问题的能力。研究采用横断面设计调查法。研究对象包括玛琅一所州立大学物理学专业的26名一年级本科生,其中包括10名男性和16名女性。研究工具是用符号和数字表示的线性运动运动学问题的开放式检验,可靠性为0,807。研究数据使用描述性和非参数推理统计进行分析。结果表明,学生对线性运动运动学问题的符号化和数值化解题能力一般。学生们在用符号和数字表示解决物理问题时都有困难。研究还发现,对于学生来说,符号表示的线性运动运动学问题比数字表示更难解决。该研究建议进一步研究,以更真实地探索学生困难的原因,例如通过面试或自言自语。
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引用次数: 0
Strategies of Physics Learning Based on Traditional Games in Senior High Schools during the Covid-19 Pandemic 新冠肺炎疫情期间基于传统游戏的高中物理学习策略研究
Q4 Social Sciences Pub Date : 2021-11-25 DOI: 10.31349/revmexfise.19.010207
H. Putranta, H. Kuswanto, Mami Hajaroh, Siti Irene Astuti Dwiningrum, Rukiyati
Physics learning during the Covid-19 pandemic must still be done so that students can still get physics intake. This phenomenological research aims to explore physics teacher strategies in conducting traditional game-based learning in senior high schools during the Covid-19 pandemic. The research data was collected through in-depth interviews with 10 physics teachers from five senior high schools in Yogyakarta. The ten participants were taken using the purposive sampling technique. The data analysis used analytic reduction which started with identifying important statements from the interview results, determining the core theme, and interpreting the physics learning strategy essence. The research results found that traditional game-based physics learning was carried out using contextual, inquiry, project, and problem-based learning models. The physics material is integrated into traditional games which include tulup, benthik, bekelan, sulamanda, egrang, sekongan, jeblugan, and gobak sodor. Physics learning evaluation is carried out by assessing assignments, performance, presentations, tests, and the results of making students' traditional games. Traditional game-based physics learning is done through distance learning applications such as Zoom, Google Meet, Google Classroom, Google Mail, and WhatsApp. Supporting factors for learning physics based on traditional games include efficient learning, learning can be done anywhere, and students can explore their abilities widely. Inhibiting factors for learning physics based on traditional games include unstable internet networks, students’ different abilities, and never done distance learning. The physics teacher’s competence, the student’s abilities, and the facilities availability are the main factors in determining the learning physics success based on traditional games during the Covid-19 pandemic.
在2019冠状病毒病大流行期间,仍然必须进行物理学习,以便学生仍然可以获得物理课程。本现象学研究旨在探讨新冠肺炎大流行期间高中物理教师开展传统游戏学习的策略。研究数据是通过对日惹市5所高中10名物理教师的深度访谈收集的。这10名参与者采用了有目的的抽样技术。数据分析采用分析化简法,首先从访谈结果中识别重要陈述,确定核心主题,并解释物理学习策略的本质。研究结果发现,传统的基于游戏的物理学习是使用基于上下文、探究、项目和问题的学习模型进行的。物理材料被整合到传统的游戏中,包括tuup, benthik, bekelan, sulamanda, egrang, sekongan, jeblugan和gobak sodor。物理学习评估是通过评估作业、表现、演讲、测试和学生制作传统游戏的结果来进行的。传统的基于游戏的物理学习是通过远程学习应用程序完成的,如Zoom, b谷歌Meet,谷歌Classroom,谷歌Mail和WhatsApp。基于传统游戏学习物理的支持因素包括学习效率高、学习可以在任何地方进行、学生可以广泛地探索自己的能力。基于传统游戏学习物理的制约因素包括网络不稳定、学生能力差异、从未进行过远程学习等。在新冠肺炎疫情期间,物理教师的能力、学生的能力和设施的可用性是决定传统游戏物理学习成功的主要因素。
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引用次数: 5
Falsos Positivos de la ciencia. 科学的假阳性。
Q4 Social Sciences Pub Date : 2021-11-23 DOI: 10.31349/revmexfise.19.010301
Victor Manuel Trejos Montoya, L. Peralta, Lao Tsé López-Lozano, Mario Pérez-González, Selim Gómez-Ávila
Un falso positivo en la ciencia, es un descubrimiento anunciado y luego rebatido; la historia de los falsos positivos ilustra el proceso científico y la cultura en la cuál éste está inmerso. En el anuncio de un descubrimiento falso juegan tanto las fluctuaciones estadísticas como los errores sistemáticos de los experimentos, la ambición de los científicos, y las expectativas y esperanzas de las comunidades investigadoras. También las prácticas y los estándares de revisión; en el camino a la construcción de un consenso científico hay obstáculos tanto de carácter social como metodológico. En el caso particular de las matemáticas tenemos el caso de la prueba fallida, en donde un error lógico o conceptual lleva al anuncio de un resultado correcto al que se llega por un argumento erróneo. En este trabajo se discute la historia de las demostraciones fallidas en matemáticas tal como es el caso de Vladimir Voevodsky, la controversia sobre el efecto Mpemba, el fiasco del exceso de difotones a 750 GeV en el Gran Colisionador de Hadrones, y el caso de deshonestidad científica de Jan Hendrik Schön.
科学中的假阳性,是一个宣布的发现,然后被反驳;假阳性的历史说明了它所处的科学过程和文化。在宣布虚假发现时,实验的统计波动和系统误差、科学家的雄心以及研究界的期望和希望都起着作用。审查做法和标准;在建立科学共识的道路上,存在社会和方法上的障碍。在数学的特殊情况下,我们有失败的测试案例,在这种情况下,逻辑或概念上的错误会导致宣布正确的结果,而错误的论点会得出正确的结果。本文讨论了弗拉基米尔·沃沃沃夫斯基(Vladimir Voevodsky)的数学证明失败的历史,关于MPEMBA效应的争议,大型强子对撞机750 GeV下过量双光子的惨败,以及扬·亨德里克·舍恩(Jan Hendrik Schön)的科学不诚实案。
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引用次数: 0
Didactical situations to treat Lorentz and Galileo transformations in theoretical physics 在理论物理中对待洛伦兹和伽利略变换的教学情境
Q4 Social Sciences Pub Date : 2021-11-22 DOI: 10.31349/revmexfise.19.010204
S. A. de Souza Farias, D. P. Meira Filho, J. K. Santos Kamassury
Notions of Electromagnetism and Special Theory of Relativity (STR) require important mathematical knowledge applied to theoretical physics. Recognizing pedagogical difficulties in the teaching of theoretical physics, the Theory of Didactical Situations (TDS), which consists of a set of practices that aim to contribute to the improvement of mathematics teaching. In this context, the present work is motivated to present a set of practices based on TDS with a focus on teaching Electromagnetism and STR, where problems that require an understanding of the transformations of Galileo and Lorentz. Specifically, the didactic situation is constructed by means of four problem proposals, while in the adidatic situation, the student is invited to understand the roles of these transformations in the study of these problems. Ultimately, the relevance of the educator in the institutionalization situation is reinforced, a moment when it must be clarified how all mathematical relations are strongly related to physical principles.
电磁学和狭义相对论(STR)的概念需要重要的数学知识应用于理论物理。认识到理论物理教学中的教学困难,教学情境理论(TDS),其中包括一套旨在促进数学教学改进的实践。在这种背景下,目前的工作是为了提出一套基于TDS的实践,重点是教授电磁学和STR,其中的问题需要理解伽利略和洛伦兹的变换。具体来说,教学情境是通过四个问题建议来构建的,而在辅助情境中,学生被邀请去理解这些转换在研究这些问题中的作用。最终,在制度化的情况下,教育者的相关性得到了加强,这时必须澄清所有的数学关系是如何与物理原理紧密相关的。
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引用次数: 1
Heating up a lantern with a tealight candle 用茶灯蜡烛加热灯笼
Q4 Social Sciences Pub Date : 2021-11-22 DOI: 10.31349/revmexfise.19.010206
P. Wattanakasiwich, P. Kongkhumbod, N. Pussadee
This paper provided physics principles and a method to heating up a lantern with a tealight candle, so it reaches 2.5 m within the shortest time. The experiments aimed to determine optimal parameters in filling paper lanterns with hot air and the ideal shape of lanterns that would travel most quickly in a vertical direction. Hot air from burning a 28-wick candle was directed through a heat transfer system to fill the lanterns. The small ellipsoid lantern required the shortest time. This problem is suitable as a platform for STEM education approach on topics of convection, buoyancy and drag force.
本文介绍了用茶灯蜡烛加热灯笼的物理原理和方法,使其在最短时间内达到2.5米。实验旨在确定用热空气填充纸灯笼的最佳参数,以及在垂直方向上行进最快的灯笼的理想形状。来自燃烧28芯蜡烛的热空气被引导通过传热系统来填充灯笼。这个小椭球灯需要最短的时间。这个问题适合作为对流、浮力和阻力主题的STEM教育方法的平台。
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引用次数: 0
Método conservativo de diferencias finitas de alto orden para una clase de sistemas de Schrödinger no lineales 一类非线性薛定谔系统的高阶守恒有限差分方法
Q4 Social Sciences Pub Date : 2021-11-22 DOI: 10.31349/revmexfise.19.010205
Axi Aguilera, P. Castillo, Sergio Gómez
Se presenta un método en tiempo para aproximar la solución de una clase de sistemas de ecuaciones no lineales de Schrödinger, el cual conserva la potencia de cada componente y el Hamiltoniano del sistema de manera exacta. Para la discretización espacial se consideran fórmulas explı́citas y compactas de diferencias finitas, ambas de cuarto y sexto orden, sin embargo fórmulas de mayor orden también podrı́an ser utilizadas. La técnica para avanzar en tiempo se basa en unamodificación del esquema conservativo de Crank-Nicolson, la cual se aplica de manera secuencial a cada una de las componentes del campo vectorial. La conservación de los invariantes discretos y el orden de convergencia del método se validan por medio de una serie de experimentos numéricosutilizando diferentes potenciales no lineales.
提出了一种近似求解一类非线性薛定谔方程组的方法,该方法准确地保留了系统各分量的幂和哈密顿量。对于空间离散化,解释公式和紧凑的有限差分公式都被认为是四阶和六阶的,但也可以使用更高阶的公式。时间推进技术基于对Crank-Nicolson保守方案的非修改,该方案按顺序应用于向量场的每个分量。通过一系列模拟不同非线性势的数值实验,验证了离散不变量的保守性和MéTodo的收敛阶。
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引用次数: 0
Electronic Circuit Emuling a First-order Time-delay Differential Equation 仿真一阶时滞微分方程的电子电路
Q4 Social Sciences Pub Date : 2021-11-09 DOI: 10.31349/revmexfise.19.010202
César Jiménez, I. Campos-Cantón, L. J. Ontanon-Garcia
This article provides undergraduates a useful tool for a better understanding of the time delay eect on a electronic circuit. The time delay eect is analyzed on this paper in a rst order dierential equation. This linear time delay is associated with the amplitude of a first-order dierential equation and is responsible of three responses: one of the responses is an dierential equation type in first-order without delay, another one of the responses is a dierential equation type in second-order and nally we have the response of a harmonic oscillator.The proposed circuit is an emulator that develop the three different responses mentioned above. Simulink-Matlab software was used to implement the time delay and simulate the dierential equation. This simulation results coincide with the theoretical results. In the same manner, the experimental results match those of the theory. The electronical circuits suggested consist of three blocks: an integrator block, a phase shift block and a gain block. The electrical circuit is composed of resistors, capacitors and operational ampliers.
这篇文章为本科生更好地理解电路上的时间延迟效应提供了一个有用的工具。本文用一阶微分方程分析了时滞eect。这种线性时间延迟与一阶递推方程的振幅有关,并导致三个响应:其中一个响应是一阶无延迟递推方程类型,另一个响应则是二阶递推方程式类型,最后我们得到了谐振子的响应。所提出的电路是开发上述三种不同响应的模拟器。利用Simulink Matlab软件实现了时间延迟,并对递推方程进行了仿真。仿真结果与理论结果相吻合。以同样的方式,实验结果与理论结果相匹配。所提出的电子电路由三个块组成:积分器块、相移块和增益块。电路由电阻器、电容器和运算放大器组成。
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引用次数: 0
Some problems of the projectile motion with a square-law resistance 具有平方律阻力的抛射运动的几个问题
Q4 Social Sciences Pub Date : 2021-08-07 DOI: 10.31349/revmexfise.19.010201
P. Chudinov
The influence of the force of the quadratic resistance of the medium on the change in some interesting characteristics of the motion of the projectile, which take place when the projectile moves in vacuum, is investigated. Loci are constructed numerically (and partly analytically) that ensures maximization of the arc length of the projectile trajectory and a non-decreasing of the length of the radius-vector. As examples, the motion of a baseball, a tennis ball and a badminton shuttlecock is studied.
研究了介质的二次阻力对弹丸在真空中运动时发生的一些有趣的运动特性变化的影响。Loci是数值构建的(部分是解析构建的),确保了射弹轨迹弧长的最大化和半径矢量长度的不减小。以棒球、网球和羽毛球的运动为例进行了研究。
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引用次数: 0
Strong magnetic fields in gauge theories 规范理论中的强磁场
Q4 Social Sciences Pub Date : 2021-07-02 DOI: 10.31349/revmexfise.18.020209
H. Rojas, Jorge Luis Acosta Ávalo
The problem of photon propagation in a medium in presence of a strong magnetic field in the frame of quantum electrodynamics is discussed in the present paper, based on previous literature in this area. The breaking of the spatial symmetry by the magnetic field determine the existence of a set of basic vectors and tensors which must satisfy the gauge and CPT invariance of quantum electrodynamics. The charge symmetric and non-symmetric cases are discussed. In the second case the Faraday effect is produced. A chiral current arises, associated to a pseudovector eigenvector ofthe polarization operator (due to the breaking of the spatial symmetry by the external magnetic field), related to the so-called axial anomaly. The path integrals and functional derivation are widely used to obtain the self-energy and vertex operators, and the Dyson equations. The inadequate introduction of a chiral chemical potential in the standard model is discussed for the Weinberg-Salam model for electroweak interactions.
本文在已有文献的基础上,从量子电动力学的角度讨论了强磁场作用下光子在介质中的传播问题。磁场对空间对称性的破坏决定了一组基本矢量和张量的存在,这些矢量和张量必须满足量子电动力学的规范和CPT不变性。讨论了电荷对称和非对称的情况。在第二种情况下,会产生法拉第效应。手性电流出现,与极化算子的伪矢量特征向量有关(由于外部磁场破坏了空间对称性),与所谓的轴向异常有关。路径积分和函数导数被广泛用于获得自能算子和顶点算子以及戴森方程。针对电弱相互作用的Weinberg-Salam模型,讨论了在标准模型中引入手性化学势的不足。
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引用次数: 0
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Revista Mexicana De Fisica E
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