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    20 August 2021 Volume 40 Issue 8
      
    Thermodynamics and geometry
    LIU Quan-hui
    College Physics. 2021, 40(8):  1.  doi:10.16854 / j.cnki.1000-0712.210029
    Abstract ( 1177 )   PDF (244KB) ( 933 )  
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    The interesting connections between thermodynamics and geometry have all but

    vanished from the literature.Three thermodynamic issues are treated with geometry.The first is

    how to geometrically interpret the Thom- sen-Berthelot principle,leading to the third law of

    thermodynamics.The second is why the van der Waals parame- ters a and b depend on the temperature

    once the equation of state is viewed as a two-dimensional surface.The third is that the

    thermodynamic fluctuations permit metric representations associated with the Riemann geometry,and

    the van der Waals equation of state is used to demonstrate the scalar curvature measures the

    interactions.Attempts to un- derstand the thermodynamics within geometry do not only offer an

    effective teaching and learning,but also may be helpful to find new research areas.

    Adiabatic invariant in slow corrosion process of mass-spring and its electrical promotion
    FAN Hong-yi, CHEN Jun-hua, WU Ze
    College Physics. 2021, 40(8):  5.  doi:10.16854 / j.cnki.1000-0712.210001
    Abstract ( 953 )   PDF (138KB) ( 333 )  
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    In this paper,we discusse and solve the adiabatic invariant in the process of slow

    corrosion of mass- spring. Based on this model,we further solve the adiabatic invariant in the

    case of slow corrosion of electrolyte liq- uid in parallel plate capacitor. The mathematical

    methods and physical ideas in the process provide a feasible direc- tion for the quantization of

    classical physics. In addition,the model can also be simply extended to the adiabatic in- variant

    in the case of magnetic medium degradation.

    A brief analysis of the method for constructing the structures of twisted graphene bilayers
    CHEN Ming-xing
    College Physics. 2021, 40(8):  8.  doi:10.16854 / j.cnki.1000-0712.210060
    Abstract ( 1387 )   PDF (381KB) ( 661 )  
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    Twisted graphene bilayer has been a hot topic in condensed matter physics.Here,a method

    for con- structing the geometric structure of graphene supercells is illustrated,which makes use of

    the translational symmetry of crystal and the transformation matrix between the supercell and the

    primitive cell. Then,the method is applied to construct the structure of twisted graphene bilayers.

    This system can be used as an example in the lecture of solid state physics,which is

    helpful for students to achieve a better understanding of the mathmatic method of describing the

    geometric structure of crystals.

    Discussion on the significance of electronic correlation effect in the solid state   physics teaching
    GUO Xing-yuan, LIU Fan, CHEN Shu-jun
    College Physics. 2021, 40(8):  11.  doi:10.16854 / j.cnki.1000-0712.210049
    Abstract ( 1079 )   PDF (229KB) ( 377 )  
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    Approximation of independent electrons and single electrons play a fundamental role in

    the formation of solid electronic theory,and the movement of single electrons in the periodic

    potential field develops into energy band theory.One of the important achievements of

    energy band theory is the successful prediction of the electrical conductivity of

    crystals.However,its interpretation of the properties of transition metal oxides has been

    encountered inconsistent results.Mott first pointed out the fundamental reason for this from a

    physical point of view: the energy band theory based on the single-electron approximation

    and ignores the correlation between electrons. This article aims to introduce the basic ideas

    of the single-electron approximation and its achievements and shortcomings,then discusses the

    importance of electronic correlation in the current frontier field of condensed matter

    physics,such as superconductivity and magic angle graphene.Let students understand that electronic

    correlation effect is the link be- tween the basic knowledge of solid physics and the frontier

    science.Therefore,the explanation of electronic correla- tion effect and its role in the field of

    frontier physics should be emphasized in teaching.

    Spherically averaging function and deduction of its differential equation
    CAI Jun, LI Min, WANG Qun
    College Physics. 2021, 40(8):  16.  doi:10.16854 / j.cnki.1000-0712.210016
    Abstract ( 1927 )   PDF (187KB) ( 492 )  
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    The initial- value problem of the wave equation in the three-dimensional case

    is a very important content in the course of methods of mathematical physics. In this paper,we

    discuss the definition of the spherically

    averaging function and how to build up the partial differential equation satisfied when we use the

    method of spherical means to solve this problem. A more concise procedure to deduce the

    equation of spherically averaging function is provided based on the analysis of the

    deduction appeared in the textbooks. Our discussion will clarify the basic meaning of the

    spherically averaged function and is benefit to the teaching and studying of the method of

    spherical means and other solutions to the equations of mathematical physics in three-dimensional

    spherical coordinates.

    Study on the Ampere circuital theorem in stationary magnetic fields
    HU Xi-kui, LI Li, FENG Chun-bao, MOU Qiong
    College Physics. 2021, 40(8):  20.  doi:10.16854 / j.cnki.1000-0712.200523
    Abstract ( 1883 )   PDF (267KB) ( 428 )  
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    The Ampere circuital theorem is an important law in stationary magnetic fields and is

    often used to analyze the magnetic flux intensity of a current system with a certain symmetry. The

    useful conditions of the Ampere circuital theorem and its mathematical principles are studied. The

    misunderstanding that the Ampere circuital theo- rem is incorrect in a finite-length

    current-carrying straight wire system is clarified through a simple model. The uni- versality of

    the Ampere circuital theorem is exemplified. It helps students to master Ampere circuital

    theorem and understand the properties of magnetic fields.

    Superposition rule of refraction imaging of object points through multi-layer parallel   medium interface and several application analyses
    SHAO Yun
    College Physics. 2021, 40(8):  23.  doi:10.16854 / j.cnki.1000-0712.200493
    Abstract ( 907 )   PDF (448KB) ( 110 )  
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    In this paper,a simple and natural reasoning method is used to deduce the virtual image

    point posi- tion of the secondary refraction imaging of object point refracting through the

    parallel medium interface,and the so- called “superposition rule of refraction imaging of object

    points through multi-layer parallel medium interface”is found. This paper discusses the

    coordinates of image points in several special cases: the refraction phenomenon of “body

    head separation”of the female swimmer in swimming pool is analyzed and explained; the imaging

    character- istics of objects in the air through glass blocks are analyzed,the optical basis

    for people to usually use thin glass windows is pointed out; the refraction imaging of an

    object point in air through a medium with linear refractive index change is studied in detail,and

    it is pointed out that the position of the imaging point in the medium with uniformly varying

    refractive index is almost the same as that in the medium with uniform refractive index of

    same thickness, except for the large angle of view from 80° to 90°. The reasoning methods and

    conclusions in this paper may provide reference for the teaching and scientific research of related

    contents.

    Application of Maxwell-Boltzmann distribution in Ising model
    YING Tao, PEI Yan-bo, WANG Xiao-ou, ZHANG Yu
    College Physics. 2021, 40(8):  29.  doi:10.16854 / j.cnki.1000-0712.200361
    Abstract ( 1129 )   PDF (200KB) ( 592 )  
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    Maxwell-Boltzmann distribution has broad application prospect in statistical physics.

    This distribu- tion gives the Boltzmann probability of any microstate of the system,so we

    can calculate the statistical average of the macroscopic observation of the system.

    However,most of the real calculations are hard to be done,due to the fact that the number of

    all the possible microstates increases exponentially with the number of the lattice

    sites. In this paper,we take the Ising model as an example,to introduce the evolution of the

    possible microstates from the view of the Boltzmann probability,hence we only need to consider

    the microstates with large Boltzmann probability. In this way,we study the ground-state energy per

    site and magnetization per site as functions of temperature,in a two-dimensional Ising model.

    A demonstration experiment of balloon motion in accelerating box
    LU Jun-ling, GU Chen, REN Nai-jing, MA Bo-yi
    College Physics. 2021, 40(8):  33.  doi:10.16854 / j.cnki.1000-0712.200480
    Abstract ( 759 )   PDF (181KB) ( 148 )  
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    When a light and a heavy balloon are arranged in a transparent thin shell box. the light

    one floated up and the heavy one sunk. They are tied by a filament to fix on the upper and lower

    shell walls,so that the central heights of the two balloons are roughly equal. The thin shell

    box is fixed on a flat table car. The flat table car is pushed to accelerate along the direction of the connecting line between their centers and they can

    make opposite or separated acceleration motion under the joint action of equivalent gravity

    and inertial force. This experiment can help students to understand the concept of gas heat

    balance,equivalent principle,inertial force and handling prob- lems in non-inertial system.

    A simple experimental method of 3D acoustic source localization
    CUI Zhi-wen¹, YIN Shen-xin²
    College Physics. 2021, 40(8):  36.  doi:10.16854 / j.cnki.1000-0712.200510
    Abstract ( 862 )   PDF (504KB) ( 492 )  
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    A new simple experimental method of three-dimensional acoustic source localization

    problem is pro- posed.Acoustic source localization in a three- dimensional structure is

    realized by the time difference information and space coordinates of sensors.The operation and

    calculation are simple.The experiment cost is also reduced.This experimental method can not

    only intuitively realize the three - dimensional acoustic emission source localization

    process,but also realize the measurement of sound velocity. This simple experiment method

    can deepen students' understanding of physics issues and increase their interest in

    acoustic emission technology and source localization technology. The proposed experimental

    method is suitable for popularization.

    Measurement of liquid viscosity based on the multiple   laser photoelectric door
    GUO Xiao-chun¹, WU Jia-qi², CAO Ping-ping¹, LI Song-yang³, XING Xue-yi²
    College Physics. 2021, 40(8):  40.  doi:10.16854 / j.cnki.1000-0712.210061
    Abstract ( 641 )   PDF (245KB) ( 411 )  
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    A instrument of measuring the liquid viscosity is designed based on the multiple laser

    photoelectric door. In this paper,the self-resembled calibration system with plumb and a funnel

    for point location is adopted to ensure the ball falling along the central axis of the glass

    cylinder. In addition,four sets of photoelectric door are used to measure the time. This

    method makes it possible to accurately find the interval of uniform falling and obtain four groups

    of experimental data in a single experiment. The new measuring instrument eliminates the

    disadvantages of the traditional falling-sphere method and improves the efficiency and accuracy of

    experimental measurement.

    Study on the experimental phenomenon of light diffraction by a circular aperture with numerical method
    CAO Dong-mei¹, ZENG Xiang-mei²
    College Physics. 2021, 40(8):  45.  doi:10.16854 / j.cnki.1000-0712.200492
    Abstract ( 954 )   PDF (410KB) ( 290 )  
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    In the case of parallel plane wave approximation,the Fresnel-Kirchhoff diffraction

    integral formula is solved numerically,and the light intensity distribution diagram of the

    diffraction through the circular aperture is obtained. Through the numerical analysis of the

    longitudinal and transverse light intensity distribution diagrams,it is

    concluded that the intensity of the light on the axis is determined by the Fresnel number. When the

    Fresnel number is greater than 1,it is the Fresnel diffraction zone,and when the Fresnel number is less than 1,it

    is the Fraunhofer diffraction zone. In the near field,the intensity of the light distribution is a

    ring-shaped stripe of bright and dark; in the far field,the beam evolves into a Gaussian beam with

    a waist at the circular hole. The simulation results are

    basically consistent with the theoretical and experimental results. The light diffraction theory is

    visualized intuitively with the simulation results.

    Teaching practice of optical simulation and ability cultivation of scientific exploration for postgraduates
    JIANG Ping, YANG Hua-jun, CAIYANG Wei-nan, QIN Yan, WU Shao-yi
    College Physics. 2021, 40(8):  50.  doi:10.16854 / j.cnki.1000-0712.210021
    Abstract ( 645 )   PDF (688KB) ( 206 )  
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    Combined with the construction of postgraduate courses such as optical system

    design,advanced optical communication technology and advanced quantum mechanics,the team has

    strengthened the concept of pro- moting education through scientific research,brought the frontier

    research projects of optics into postgraduate teach- ing and research training. The team has

    carried out innovative teaching practice focusing on theoretical basis, strengthening

    simulation practice and integrating science and education. Through the challenging practice

    cases of basic optics,modern optics and comprehensive application,the basic theory and simulation

    practice,the scientific research and engineering application are combined to strengthen the

    cultivation of graduate students ' innovative practice ability and scientific exploration ability.

    Construction of college physics hybrid teaching under three systems   ——— take introduction as an example
    ZHANG Li-ping¹, SHI Yan², KONG Ling-yi²
    College Physics. 2021, 40(8):  57.  doi:10.16854 / j.cnki.1000-0712.200355
    Abstract ( 699 )   PDF (1096KB) ( 864 )  
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    In this paper taking the introduction of college physics as an example,the

    construction of hybrid teaching under the direction of three systems is given. The aim is to

    strengthen learning motivation and vision on the basis of setting goals before class,opening wisdom

    in class and seeking output after class. It includes the pre-class start-up power,in-class

    mobilization,after-class additional force bearing power system. Before class“who am I”, in class

    “what I want”,after class “how I should”is marked to the vision system. With the help

    of the mixed teaching of thinking,politics and enlightening wisdom,the new era of teaching idea

    of “student center,output ori- entation and continuous improvement”is practiced. The teaching

    effect is interpreted by using teaching implementa- tion,student growth and the experimental

    contrast.

    Research on recovery phenomenon of suspended water wheel
    SHEN Jun-yu, CHEN Xin, YAO Guan-xin
    College Physics. 2021, 40(8):  63.  doi:10.16854 / j.cnki.1000-0712.200533
    Abstract ( 645 )   PDF (213KB) ( 237 )  
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    Through the preparatory experiment conjecture of the light spherical object suspended

    above the im- pact water column,it is judged that the stable suspension condition is related to

    the impact point position of the water column. After decomposing the impact point of water column

    in the direction of velocity,it is known from the Coanda effect that there is interaction force in

    the process of fluid flowing through the curved object surface. Therefore,the boundary

    layer theory is used to analyze the force on the object,and then the expression of the transverse

    force on the object is given. The similar“recovery force”is explained when the impact point of water column

    slightly deviates from the equilibrium impact position. The self-consistency of the theory is

    verified by the experimental results.

    Research on single pendulum motion of variable point under the elastic support rod
    ZHOU Ying¹, TIAN Peng-bo², LI Tao², LIU Rui-feng², FANG Ai-ping², WANG Xiao-li²
    College Physics. 2021, 40(8):  66.  doi:10.16854 / j.cnki.1000-0712. 200536
    Abstract ( 650 )   PDF (625KB) ( 308 )  
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    In order to study the mutual transformation of the axial and tangential oscillations for

    a simple pen- dulum when the support rod is an elastic rod,we propose a theoretical and

    experimental method based on the con- servative Lagrangian equation and analyze the transformation

    time of the pendulum ball oscillating in two vertical di- rections under the conditions of

    different initial release angles,cycloid lengths and Young’s modulus support rods, and their

    influences on trajectory and sub-displacement of the ball. Both theoretical and experimental

    results show that larger initial release angle,shorter pendulum length and smaller Young’s

    modulus of the support rod will make the transformation shorter. The experimental result is in

    good agreement with the theory,and the theory can explain the experimental phenomenon well.

    Influence of spectrometer adjustment on the measurement of apex angle and minimum   deviation angle of a triangular prism
    LI Xin-jing, SONG Xin-bing
    College Physics. 2021, 40(8):  72.  doi:10.16854 / j.cnki.1000-0712.200448
    Abstract ( 2913 )   PDF (459KB) ( 653 )  
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    In the experiment of measuring the refractive index of a prism with a

    spectrophotometer,a key step is to adjust the object stage so that its main axis is perpendicular

    to the optical axes of the telescope and the collima- tor,which is called the standard case. It is

    analyzed that the influence on the measurement of apex angle and mini- mum deviation angle

    theoretically and experimentally when there is a deviation of the object stage. The experiments are

    performed for two cases. One case is that,in the telescope,it can be found that a green

    cross image reflectes from at least one surface of the double face plane mirror. In this case,the

    deviation is marked by recording the posi- tion of the green cross image. The other case is that

    the deviation of the object stage is measured with an extra sys- tem. In this case,the deviation

    degree of the object stage can be recorded directly. In experiment,the variation of the apex angle

    and minimum deviation angle of the prism with the deviation of the object stage is measured

    in the two cases. And the object stage’s deviation range,at which the experimental

    results has smaller deviations than standard measurement errors,is determined.

    Measurement of liquid refractive index based on Michelson interferometer and double air   wedge
    SHI Yi-han, LUO Hai-jun, ZHANG Dong
    College Physics. 2021, 40(8):  77.  doi:10.16854 / j.cnki.1000-0712.210062
    Abstract ( 938 )   PDF (246KB) ( 565 )  
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     The refractive index is an important optical parameter of the medium,and the

    measurement of the refractive index is an important part of the optical experiment. In

    this experiment,a biprism and a flat glass are used as a container for liquid,a lateral

    transmission device is added to the Michelson interferometer to control the movement of the

    double air wedge,so an experimental device for measuring liquid refractive index has

    been de- signed. This experimental method avoids complicated component processing. It is easy to

    operate and has more ac-curate measurement results.

    Spatial positioning based on LED photocell array and neural network
    TAN Hao-yan, SHAO Han-yong, LIU Si-yin, WANG Ai-ji, BAI Zai-qiao
    College Physics. 2021, 40(8):  81.  doi:10.16854 / j.cnki.1000-0712.210035
    Abstract ( 577 )   PDF (580KB) ( 128 )  
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    In this paper,a spatial positioning method based on light source-detector array

    code and artificial neural network is proposed and verified. A number of LEDs are placed above

    the detection area,and a number of photoelectric detection units are randomly arranged below.

    The distribution of light intensity caused by blocking light can be regarded as the characteristic

    of spatial position. The light intensity distribution data is processed and learned

    by using the pre-built neural network to realize the mapping relationship between the light

    intensity distribution and the spatial coordinates of the object,so as to realize the spatial

    positioning of the object with high precision and fast response. In the experiment,6 LEDs and 8

    photovoltaic cells are used to build a demonstration system,and spatial positioning is carried out

    through actual measurement.