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1

Петухова, Анастасия, Anastasia Petukhova, Станислав Петухов, and Stanislav Petukhov. "Toroidal models of magnetic field with twisted structure." Solar-Terrestrial Physics 5, no. 2 (2019): 69–75. http://dx.doi.org/10.12737/stp-52201910.

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We present and discuss properties of the following magnetic field models in a magnetic cloud: Miller and Turner solution, modified Miller–Turner solution, Romashets–Vandas toroidal and integral models, and Krittinatham–Ruffolo model. Helicity of the magnetic field in all the models is the main feature of magnetic clouds. The first three models describe the magnetic field inside an ideal torus. In the integral model, parameters of a generating torus ambiguously determine the volume and form of the magnetic field region. In the Krittinatham–Ruffolo model, the cross-section radius of the torus is
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2

Olson, W. P. "MDTILT magnetic field model (1969)." Planetary and Space Science 40, no. 4 (1992): 562–63. http://dx.doi.org/10.1016/0032-0633(92)90228-g.

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3

Mahajan, Tarlochan Singh, and Om Prakash Pandey. "Magnetic-time model at off-season germination." International Agrophysics 28, no. 1 (2014): 57–62. http://dx.doi.org/10.2478/intag-2013-0027.

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Abstract Effect of static magnetic field on germination of mung beans is described. Seeds of mung beans, were exposed in batches to static magnetic fields of 87 to 226 mT intensity for 100 min. Magnetic time constant - 60.743 Th (Tesla hour) was determined experimentally. High value of magnetic time constant signifies lower effect of magnetic field on germination rate as this germination was carried out at off-season (13°C). Using decay function, germination magnetic constant was calculated. There was a linear increase in germination magnetic constant with increasing intensity of magnetic fiel
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4

Choi, Hak-Yun. "Design of Magnetic Field Compensation System Model for AC Magnetic Field Shielding." Journal of the Korean Institute of Illuminating and Electrical Installation Engineers 25, no. 7 (2011): 78–82. http://dx.doi.org/10.5207/jieie.2011.25.7.078.

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5

Dmitriev, A. N., and Yu V. Pakharukov. "Thermoelectric model of the Earth's magnetic field." Oil and Gas Studies, no. 2 (June 11, 2021): 39–52. http://dx.doi.org/10.31660/0445-0108-2021-2-39-52.

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A variant of the thermoelectric model of the Earth's dipole magnetic field is considered. It is based on geothermoelectric currents present in the planet's core. The currents cyclically change their direction, which leads over time either to warming on the Earth, if their movement is directed towards the Earth's crust, or to cooling, when moving towards the inner core. With each change in the direction of movement of the thermal currents, the poles of the Earth's magnetic field are inverted simultaneously. The inversion process is instantaneous (on the scale of planetary time) and is not the r
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6

Ghada, E. S. Elammeen*1 Amna E. Musa2 Hassaballa M.A. Mahmoud3 Elharam A. E. Mohammed4 Mubarak Dirar Abdallah 5. &. Sawsan Ahmed Elhouri Ahmed6. "CLASSICAL NEWTONIAN MODEL FOR DESTRUCTION OF SUPERCONDUCTORS BY MAGNETIC FIELD." GLOBAL JOURNAL OF ENGINEERING SCIENCE AND RESEARCHES 6, no. 3 (2019): 91–95. https://doi.org/10.5281/zenodo.2593995.

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Newton second law is used to describe the destruction of super conductivity for type 1 & type 2.The electron is assumed to be affected by external electric and magnetic field as well as the internal magnetic field. The conductivity and resistance depends on the internal as well as external magnetic field. For type 1 the super conducting state is destroyed when the external magnetic field exceeds the maximum internal field. For type 2 the superconductivity is destroyed partially in the region where the local maximum field is the lowest, and enters completely when the external field exceeds
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7

Jakubiuk, Kazimierz, Paweł Zimny, and Mirosłw Wołszyn. "Multidipoles model of ship's magnetic field." International Journal of Applied Electromagnetics and Mechanics 39, no. 1-4 (2012): 183–88. http://dx.doi.org/10.3233/jae-2012-1459.

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8

Bretz, Joseph, C. A. van Eysden, and Bennett Link. "Tangled magnetic field model of QPOs." Monthly Notices of the Royal Astronomical Society 504, no. 4 (2021): 5880–98. http://dx.doi.org/10.1093/mnras/stab1220.

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ABSTRACT The highly tangled magnetic field of a magnetar supports shear waves similar to Alfvén waves in an ordered magnetic field. Here, we explore if torsional modes excited in the stellar interior and magnetosphere can explain the quasi-periodic oscillations (QPOs) observed in the tail of the giant flare of SGR 1900+14. We solve the initial value problem for a tangled magnetic field that couples interior shear waves to relativistic Alfvén shear waves in the magnetosphere. Assuming stellar oscillations arise from the sudden release of magnetic energy, we obtain constraints on the energetics
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9

Zerec, Ivica, Burkhard Schmidt, and Peter Thalmeier. "Kondo lattice model in magnetic field." Journal of Magnetism and Magnetic Materials 310, no. 2 (2007): e48-e50. http://dx.doi.org/10.1016/j.jmmm.2006.10.095.

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10

Chiampi, M., and M. Tartaglia. "Electromagnet Model Through Magnetic Field Analysis." International Journal of Modelling and Simulation 7, no. 1 (1987): 43–46. http://dx.doi.org/10.1080/02286203.1987.11759992.

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11

Chudnovskiy, A. N. "Model magnetic field configurations with islands." Plasma Physics Reports 30, no. 11 (2004): 907–17. http://dx.doi.org/10.1134/1.1825127.

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12

Jette, David. "Magnetic fields with photon beams: Monte Carlo calculations for a model magnetic field." Medical Physics 27, no. 12 (2000): 2726–38. http://dx.doi.org/10.1118/1.1326447.

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13

Nieves-Chinchilla, T., A. F. Viñas, and M. A. Hidalgo. "Magnetic Field Profiles Within Magnetic Clouds: A Model-Approach." Earth, Moon, and Planets 104, no. 1-4 (2008): 109–13. http://dx.doi.org/10.1007/s11038-008-9252-0.

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14

Turc, L., D. Fontaine, P. Savoini, and E. K. J. Kilpua. "A model of the magnetosheath magnetic field during magnetic clouds." Annales Geophysicae 32, no. 2 (2014): 157–73. http://dx.doi.org/10.5194/angeo-32-157-2014.

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Abstract. Magnetic clouds (MCs) are huge interplanetary structures which originate from the Sun and have a paramount importance in driving magnetospheric storms. Before reaching the magnetosphere, MCs interact with the Earth's bow shock. This may alter their structure and therefore modify their expected geoeffectivity. We develop a simple 3-D model of the magnetosheath adapted to MCs conditions. This model is the first to describe the interaction of MCs with the bow shock and their propagation inside the magnetosheath. We find that when the MC encounters the Earth centrally and with its axis p
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15

DAS, MOUMITA, and SUBHENDRA MOHANTY. "MAGNETIC FIELD GENERATION IN HIGGS INFLATION MODEL." International Journal of Modern Physics A 27, no. 08 (2012): 1250040. http://dx.doi.org/10.1142/s0217751x12500406.

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We study the generation of magnetic field in Higgs inflation models where the Standard Model Higgs boson has a large coupling to the Ricci scalar. We couple the Higgs field to the electromagnetic fields via a nonrenormalizable dimension six operator suppressed by the Planck scale in the Jordan frame. We show that by choosing the Higgs coupling λ(MZ) = 0.132 (which corresponds to mh = 126 GeV in keeping with the recent measurements by ATLAS and CMS) and curvature coupling ξ(MZ) = 103 we can generate comoving magnetic fields of 10-7 Gauss at present and comoving coherence length of 100 kpc. The
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16

Tang, Hong Bo, and Min Qing Zhang. "Thermodynamic Model for Vapor-Liquid Phase Equilibrium in an Exerted Magnetic Field." Advanced Materials Research 550-553 (July 2012): 2704–11. http://dx.doi.org/10.4028/www.scientific.net/amr.550-553.2704.

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Many researchers have shown a great deal of interest in the effects that magnetic fields have when applied in chemical reactions, crystallization, magnetic separation of materials, magnetic levitation, materials processing, and wastewater treatment. However, surprisingly little research has been done on the effects of magnetic fields on the vapor-liquid equilibrium and the thermodynamic model for vapor-liquid phase equilibrium. The influence of magnetic fields on vapor-liquid equilibrium of binary heterogeneous azeotrope was investigated with ethanol-water in this paper. It was found that the
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17

Kuznetsov, B. I., T. B. Nikitina, I. V. Bovdui, K. V. Chunikhin, V. V. Kolomiets, and B. B. Kobylianskiy. "IMPROVE OF UNCERTAIN MICROSATELLITE MAGNETIC CLEANLINESS BASED ON MAGNETIC FIELD SPATIAL HARMONICS COMPENSATION." Tekhnichna Elektrodynamika 2025, no. 1 (2025): 3–11. https://doi.org/10.15407/techned2025.01.003.

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Problem of microsatellite magnetic cleanliness (MMC) improving by magnetic field (MF) spatial harmonics compensa-tion and magnetic characteristics uncertainty (MCU) sensitivity reducing considered. Prediction and control by uncer-tain microsatellite MC design are geometric inverse magneto static problem (GIMSP) reduced to vector game solution. Vector payoff calculated based on development method for analytical calculation of magnetostatic field induction of spherical sources in the Cartesian coordinate system (CCS) using Wolfram Mathematica ® software. Both vector game solution calculated base
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18

Fedosin, Sergey G. "Generation of Magnetic Fields in Cosmic Objects: Electrokinetic Model." Advances in Physics Theories and Applications 44 (July 3, 2015): 123–38. https://doi.org/10.5281/zenodo.888921.

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Based on the assumption of separation of the charges in matter of cosmic bodies the possibility of obtaining the magnetic moment by these bodies is proved. The magnitude of the magnetic field appears proportional to the angular velocity of the body’s rotation and to the radius of convective layer. The periods of change of polarity of magnetic field of the Earth and the Sun are calculated by means of the size the convective layer and the convection speed. The solar activity appears the consequence of periodic transformation of the thermal energy into the electromagnetic form of energy.
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19

Guo, Cheng, Weizhen Zhuang, and Jingwen He. "Development of Precision Controllable Magnetic Field-Assisted Platform for Micro Electrical Machining." Micromachines 15, no. 8 (2024): 1002. http://dx.doi.org/10.3390/mi15081002.

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In order to introduce the magnetic field into micro electrical machining technology to explore the influence of magnetic field on micro electrical machining, the development of a precision controllable magnetic field-assisted platform is particularly important. This platform needs to precisely control the spatial magnetic field. This study first completes the hardware design and construction of the magnetic field generation device, using electromagnetic coils with soft iron cores as the sources of the magnetic field. Mathematical models of the magnetic field are established and calibrated. Sin
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20

Zhiyan, Zhang, Xie Zehui, Ma Hongzhong, and Qin Zhong. "ANALYSIS OF DEMAGNETIZATION FAULT BACK-EMF OF PERMANENT MAGNET SYNCHRONOUS MOTOR USING MATHEMATICAL MODEL BASED ON MAGNETIC FIELD SUPERPOSITION PRINCIPLE." Tekhnichna Elektrodynamika 2016, no. 2 (2016): 42–48. http://dx.doi.org/10.15407/techned2016.02.042.

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21

Cirkovic, Sasa, Jasna Ristic-Djurovic, Alexey Vorozhtsov, and Serguei Vorozhtsov. "Calibration of the simulation model of the VINCY cyclotron magnet." Nuclear Technology and Radiation Protection 17, no. 1-2 (2002): 13–18. http://dx.doi.org/10.2298/ntrp0202013c.

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The MERMAID program will be used to isochronise the nominal magnetic field of the VINCY Cyclotron. This program simulates the response, i. e. calculates the magnetic field, of a previously defined model of a magnet. The accuracy of 3D field calculation depends on the density of the grid points in the simulation model grid. The size of the VINCY Cyclotron and the maximum number of grid points in the XY plane limited by MERMAID define the maximumobtainable accuracy of field calculations. Comparisons of the field simulated with maximum obtainable accuracy with the magnetic field measured in the f
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22

Kushnirenko, A., V. Pryadko, and O. Sinyavsky. "The bioenergetic resonance model at pre-sowing seed crops treatment." Energy and automation, no. 2(54) (June 22, 2021): 97–106. http://dx.doi.org/10.31548/energiya2021.02.097.

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The research is devoted to the study of the behavior of the generalizing magnetization vector in the seeds of agricultural crops under the action of longitudinal constant and transverse alternating magnetic fields by the method of nuclear magnetic resonance. Based on the theoretical studies, the value of the average magnetic susceptibility per unit volume of seed χ and the value of the magnetization vector were determined. For the system of microparticles of cells of plant origin, the average magnetic susceptibility per unit volume of seed is χ = 2.1 · 10-5, and the magnetization vector M=13.1
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23

Kosakovskij, Igor G. "Simplified Model of the Solar Magnetic Field." Astrophysical Journal 971, no. 1 (2024): 77. http://dx.doi.org/10.3847/1538-4357/ad5afb.

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Abstract This paper considers a structure consisting of two rings of magnetic dipoles symmetrical relative to the equatorial plane as a possible model for the source of the solar magnetic field. It shows that the magnetic field generated by this structure corresponds to Joy’s law and Hale’s polarity law. Approximate calculations show that the form and shape of the equatorial field of this structure are close to measured values, and the resulting distribution of sunspots is in agreement with Joy's law to Maunder’s butterfly diagram. Based on this structure, it is possible to explain the appeara
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24

TRENDLER, ALEXANDRA-MARIA, and HOLGER BÖSE. "EXPERIMENTAL STUDIES ON MAGNETORHEOLOGICAL MODEL SUSPENSIONS." International Journal of Modern Physics B 21, no. 28n29 (2007): 4967–73. http://dx.doi.org/10.1142/s0217979207045906.

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Magnetorheological model suspensions with different contents of iron particles have been investigated. The results show an increase of the shear stress by increasing the magnetic field and the solid content, which was mathematically modelled. The influence of the solid content is approximately exponential without magnetic field and linear in strong magnetic fields. The effect of the temperature and of the base oil viscosity on the shear stress is negligible in the field but decisive without field. The sedimentation behavior also strongly depends on the iron particle content, where MR fluids wi
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25

GEYER, B., L. N. GRANDA, and S. D. ODINTSOV. "NAMBU–JONA–LASINIO MODEL IN CURVED SPACETIME WITH MAGNETIC FIELD." Modern Physics Letters A 11, no. 25 (1996): 2053–63. http://dx.doi.org/10.1142/s0217732396002046.

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We discuss the phase structure of the NJL model in curved spacetime with magnetic field using 1/N-expansion and linear curvature approximation. The effective potential for composite fields [Formula: see text] is calculated using the proper-time cutoff in the following cases: (a) at nonzero curvature, (b) at nonzero curvature and nonzero magnetic field, and (c) at nonzero curvature and nonzero covariantly constant gauge field. Chiral symmetry breaking is studied numerically. We show that the gravitational field may compensate the effect of the magnetic field what leads to restoration of chiral
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26

Shulyak, Denis, S. Khan, and O. Kochukhov. "Advanced model atmospheres with magnetic field effects included." Proceedings of the International Astronomical Union 4, S259 (2008): 407–8. http://dx.doi.org/10.1017/s1743921309030890.

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AbstractThe atmospheres of magnetic chemically peculiar (mCP) stars display the presence of magnetic fields of different geometry and strength, ranging from a few hundred G up to tens of kG. Except several very approximate attempts there were no detailed studies of magnetic field effects on model atmospheres structure, possibly leading to errors in the stellar parameter determination and abundance analysis routines. We present the magnetic model atmospheres based on LLmodels code which accounts for the detailed treatment of anomalous Zeeman splitting and polarized radiative transfer.
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27

Benevolenskaya, E. E. "A Topological Model of the Solar Magnetic Field Reversals." International Astronomical Union Colloquium 130 (1991): 234–36. http://dx.doi.org/10.1017/s0252921100079677.

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The phenomenon of a three-fold reversal of the solar polar magnetic field in both hemispheres has not been observed during the last 115 years. Such three-fold reversals took place in the southern hemisphere alone in the even cycles Nos 12 (1885.8), 14 (1908.4) and in the northern hemisphere alone in solar cycles Nos 16 (1928.5), 18 (1949.0), 20 (1970.6). The single reversal took place in the odd cycles, the only exception is the solar cycle No 19 (Fig. 1).There are periods of 1.7-2.5 years in the variation of background magnetic fields (Makarov et al., 1985). It determines the quasi-period of
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28

Yang, Yang, Zhao-Dong Xu, Ying-Qing Guo, Yan-Wei Xu, and Jie Zhang. "Internal magnetic field tests and magnetic field coupling model of a three-coil magnetorheological damper." Journal of Intelligent Material Systems and Structures 31, no. 19 (2020): 2179–95. http://dx.doi.org/10.1177/1045389x20943948.

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Magnetorheological damper is a typical semi-active control device. Its output damping force varies with the internal magnetic field, which is a key factor affecting the dynamic performance of the magnetorheological dampers. Existing studies about the magnetic field of magnetorheological dampers are limited to theoretical analysis; thus, this study aims to experimentally explore the complicated magnetic field distribution inside the magnetorheological dampers with multiple coils. First, the magnetic circuit of a three-coil magnetorheological damper was theoretically analyzed and designed, and t
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29

Liu, Yu, and Haosheng Lin. "Observational Test of Coronal Magnetic Field Models. I. Comparison with Potential Field Model." Astrophysical Journal 680, no. 2 (2008): 1496–507. http://dx.doi.org/10.1086/588645.

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Isgаndаrov, E., R. Hushanov, and N. Shahbazli. "DIGITAL MODELING OF GRAVITY-MAGNETIC ANOMALIES." Sciences of Europe, no. 164 (May 14, 2025): 26–32. https://doi.org/10.5281/zenodo.15401264.

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The article is devoted to the issue of modeling gravitational and magnetic anomalies, which is very important in solving the main - geological problem of gravity and magnetic exploration. When solving complex geological and geophysical problems using modern digital methods of processing and interpretation, it is very important to correctly specify the physical and geological model of the geological object under study. In a particular case, a more accurate assessment of the gravitational effects of model geological structures is very important. For this, homogeneous bodies of regular shape are
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31

Lankhaar, Boy. "A comprehensive model of maser polarization." Proceedings of the International Astronomical Union 18, S380 (2022): 430–34. http://dx.doi.org/10.1017/s1743921323002429.

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AbstractMaser polarization observations have been successfully used to characterize magnetic fields towards a variety of astrophysical objects. Circular polarization yields the magnetic field strength of the maser source, and linear polarization yields information on the magnetic field morphology. Linear polarization can be produced when the maser saturates or through its anisotropic pumping. We present a comprehensive model of the polarization of masers. In contrast to regular excitation modeling, we relax the assumption of isotropically populated level populations, and model both the total p
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32

Croisant, W. J., C. A. Feickert, and M. K. McInerney. "A differential magnetic permeability model for pulsed magnetic field calculations." IEEE Transactions on Magnetics 32, no. 5 (1996): 4326–28. http://dx.doi.org/10.1109/20.538858.

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33

Lian, Jun Qiang, Shun Yi Xie, and Jian Wang. "Analysis of Cogging Torque of PM Motor with Radial Magnetic Field and Parallel Magnetic Field." Applied Mechanics and Materials 105-107 (September 2011): 2289–94. http://dx.doi.org/10.4028/www.scientific.net/amm.105-107.2289.

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This paper provide two methods to analyze the cogging torque of PM motor with radial magnetic field and parallel magnetic field, FEM method and Analytic method. The FEM model and Analytic model of PM motor with radial magnetic field and parallel magnetic field are founded. We analyze the model in both methods. From the result of analysis. The air-gap magnetic density of PM motor can be analyzed. We can find the cogging torque of radial magnetic field PM motor is much heavily than the cogging torque of parallel magnetic field PM motor. The result of Analytic method is close to the result of FEM
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34

Zuo, Chao, Zhipeng Lai, Zuoshuai Wang, et al. "Eddy Current Mechanism Model for Dynamic Magnetic Field in Ferromagnetic Metal Structures." Electronics 13, no. 18 (2024): 3772. http://dx.doi.org/10.3390/electronics13183772.

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The degaussing process is crucial for ensuring magnetic protection in ships. It involves the application of oscillating and attenuating magnetic fields to eliminate residual magnetism in the ship’s structure. However, this process can lead to the generation of distorted magnetic fields within the ship’s cabin, posing a potential threat to electronic equipment performance. Therefore, it is essential to have a comprehensive understanding of the dynamic magnetic field response in ship structures to develop effective degaussing systems. To address this need, this paper proposes an eddy current mod
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35

B., I. Kuznetsov, B. Nikitina T., and V. Bovdui I. "SIMPLIFIED MATHEMATICAL MODEL OF GROUP OF OVERHEAD POWER LINES MAGNETIC FIELD." Electrical engineering & electromechanics, no. 4 (August 21, 2020): 24–29. https://doi.org/10.20998/2074-272X.2020.4.04.

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<strong><em>Aim. The method for design of simplified mathematical model of the group of overhead power lines magnetic field allowing to reduce</em></strong>&nbsp;<strong><em>the number of conductors which are taken into account in the model and field and allowing to reduce the sensitivity of the model to plant parameters uncertainty is developed. Methodology. The method based on the multi-criteria game decision, in which the payoff vector is calculated on the basis of the Maxwell equations quasi-stationary approximation solutions. The game decision based on the stochastic particles multiswarm
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36

Svirzhevsky, N. S., G. A. Bazilevskaya, M. S. Kalinin, et al. "Heliospheric Magnetic Field and The Parker Model." Geomagnetism and Aeronomy 61, no. 3 (2021): 299–311. http://dx.doi.org/10.1134/s0016793221030154.

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37

Tsuvarev, E. S., and F. A. Kassan-Ogly. "Generalized Ising Model in a Magnetic Field." Journal of Experimental and Theoretical Physics 133, no. 2 (2021): 191–205. http://dx.doi.org/10.1134/s1063776121080112.

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38

Petrov, Yu P., A. V. Gorozhantsev, and V. I. Kostitsyn. "Physical Model of the Earth’s Magnetic Field." Вестник Пермского университета. Геология 17, no. 3 (2018): 277–83. http://dx.doi.org/10.17072/psu.geol.17.3.277.

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39

Gilbert, W. S., R. F. Althaus, P. J. Barale, et al. "Magnetic field decay in model SSC dipoles." IEEE Transactions on Magnetics 25, no. 2 (1989): 1459–62. http://dx.doi.org/10.1109/20.92571.

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40

Oughstun, Kurt E., and Richard A. Albanese. "Magnetic field contribution to the Lorentz model." Journal of the Optical Society of America A 23, no. 7 (2006): 1751. http://dx.doi.org/10.1364/josaa.23.001751.

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41

Qiong-Gui, Lin. "Heisenberg Model in a Rotating Magnetic Field." Communications in Theoretical Physics 43, no. 4 (2005): 621–26. http://dx.doi.org/10.1088/0253-6102/43/4/012.

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42

Tsyganenko, N. A. "Tsyganenko magnetic field model (related software) (1987)." Planetary and Space Science 40, no. 4 (1992): 563–64. http://dx.doi.org/10.1016/0032-0633(92)90232-d.

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43

Hassenzahl, W., W. Gilbert, M. Green, and P. Barale. "Magnetic field measurements of model SSC dipoles." IEEE Transactions on Magnetics 23, no. 2 (1987): 484–87. http://dx.doi.org/10.1109/tmag.1987.1065002.

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Kotani, M., K. Aihara, T. Numajiri, T. Takabe, and Y. Uchikawa. "Brain Magnetic Field Measurement and Model Analysis." IEEE Translation Journal on Magnetics in Japan 2, no. 9 (1987): 856–58. http://dx.doi.org/10.1109/tjmj.1987.4549632.

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Goncalves, L. L., and T. Horiguchi. "Decorated Ising model in a magnetic field." Journal of Physics A: Mathematical and General 19, no. 8 (1986): 1449–58. http://dx.doi.org/10.1088/0305-4470/19/8/025.

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Jones, C. A. "A dynamo model of Jupiter’s magnetic field." Icarus 241 (October 2014): 148–59. http://dx.doi.org/10.1016/j.icarus.2014.06.020.

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Tu, Runsheng. "A Wave-Based Model of Electron Spin: Bridging Classical and Quantum Perspectives on Magnetic Moment." Advances in Theoretical & Computational Physics 7, no. 4 (2024): 01–10. https://doi.org/10.33140/atcp.07.04.11.

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Existing theories of material structure and quantum field theory cannot describe the specific sources of fundamental particles. In quantum field theory, the generation of particles is the instantaneous transformation of the field, rather than the true creation of particles. It is necessary to explore the composition (or source) of the next level of elementary particles or fields. The material structure theory of "all fundamental particles mainly originate from photons" has great advantages in combining logic and fact. By utilizing this new theory of material structure, quantum theory, Bohr the
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Zimmer, Michael F. "Ising model in an oscillating magnetic field: Mean-field theory." Physical Review E 47, no. 6 (1993): 3950–55. http://dx.doi.org/10.1103/physreve.47.3950.

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Rice, Oliver E. K., and Anthony R. Yeates. "Global Coronal Equilibria with Solar Wind Outflow." Astrophysical Journal 923, no. 1 (2021): 57. http://dx.doi.org/10.3847/1538-4357/ac2c71.

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Abstract Given a known radial magnetic field distribution on the Sun’s photospheric surface, there exist well-established methods for computing a potential magnetic field in the corona above. Such potential fields are routinely used as input to solar wind models, and to initialize magneto-frictional or full magnetohydrodynamic simulations of the coronal and heliospheric magnetic fields. We describe an improved magnetic field model that calculates a magneto-frictional equilibrium with an imposed solar wind profile (which can be Parker’s solar wind solution, or any reasonable equivalent). These
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Zieger, Bertalan, and Kalevi Mursula. "Two-dipole model of the asymmetric Sun." Journal of Space Weather and Space Climate 10 (2020): 40. http://dx.doi.org/10.1051/swsc/2020041.

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The large-scale photospheric magnetic field is commonly thought to be mainly dipolar during sunspot minima, when magnetic fields of opposite polarity cover the solar poles. However, recent studies show that the octupole harmonics contribute comparably to the spatial power of the photospheric field at these times. Also, the even harmonics are non-zero, indicating that the Sun is hemispherically asymmetric with systematically stronger fields in the south during solar minima. We present here an analytical model of two eccentric axial dipoles of different strength, which is physically motivated by
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