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Journal articles on the topic 'Inverse square law'

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Published: 10 December 2022
Last updated: 30 January 2023

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1

Heering, Peter. "On Coulomb’s inverse square law." American Journal of Physics 60, no. 11 (November 1992): 988–94. http://dx.doi.org/10.1119/1.17002.

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2

PAIK, HO JUNG, VIOLETA A. PRIETO, and M. VOL MOODY. "INVERSE-SQUARE LAW EXPERIMENT IN SPACE." International Journal of Modern Physics D 16, no. 12a (December 2007): 2181–90. http://dx.doi.org/10.1142/s0218271807011619.

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The objective of ISLES (Inverse-Square Law Experiment in Space) is to perform a null test of Newton's law in space with a resolution of 10 ppm or better at a 100 μm distance. ISLES will be sensitive enough to detect the axion, a dark matter candidate, with the strongest allowed coupling and probe large extra dimensions of string theory down to a few micrometers. The experiment will be cooled to < 2 K , which permits superconducting magnetic levitation of the test masses. This soft, low-loss suspension, combined with a low-noise SQUID, leads to extremely low intrinsic noise in the detector. To minimize Newtonian errors, ISLES employs a near-null source, a circular disk of large diameter-to-thickness ratio. Two test masses, also disk-shaped, are suspended on the two sides of the source mass at a nominal distance of 100 μm. The signal is detected by a superconducting differential accelerometer.
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3

Adelberger, Eric, Blayne Heckel, and C. D. Hoyle. "Testing the gravitational inverse-square law." Physics World 18, no. 4 (April 2005): 41–45. http://dx.doi.org/10.1088/2058-7058/18/4/38.

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4

Koval'skii, V. Ya, V. I. Sapritskii, R. I. Stolyarevskaya, and B. B. Khlevnoi. "Correction to the “inverse square law”." Measurement Techniques 32, no. 10 (October 1989): 946–51. http://dx.doi.org/10.1007/bf02158930.

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5

Cook, A. H. "The inverse square law of gravitation." Contemporary Physics 28, no. 2 (March 1987): 159–75. http://dx.doi.org/10.1080/00107518708223692.

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6

Chambers, Ll G. "82.22 The Inverse Square Law of Attraction." Mathematical Gazette 82, no. 493 (March 1998): 109. http://dx.doi.org/10.2307/3620174.

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7

Goats, Geoffrey C. "Appropriate Use of the Inverse Square Law." Physiotherapy 74, no. 1 (January 1988): 8. http://dx.doi.org/10.1016/s0031-9406(10)63626-7.

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8

George, Simon, and Robert Doebler. "Rainbow glasses and the inverse‐square law." Physics Teacher 32, no. 2 (February 1994): 110–11. http://dx.doi.org/10.1119/1.2343922.

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9

Bates, Alan. "The Inverse-Square Law with Data Loggers." Physics Teacher 51, no. 5 (May 2013): 290–91. http://dx.doi.org/10.1119/1.4801357.

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10

Wright, Alan E., M. J. Disney, and R. C. Thomson. "Universal Gravity: was Newton Right?" Publications of the Astronomical Society of Australia 8, no. 04 (1990): 334–38. http://dx.doi.org/10.1017/s1323358000023675.

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Abstract We question Newton’s inverse square law of universal gravitation in the light of recent, alternative formulations. In addition, we present numerical simulations of galaxy interactions which were used in an attempt to distinguish between an inverse square law and an inverse linear law. We conclude that an inverse linear relation is as compatible with the observational data on interacting galaxy systems as the inverse square law.
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11

Granot, Er’el. "Inverse Square Law in Spectrally Bounded Quantum Dynamics." Journal of Applied Mathematics and Physics 07, no. 11 (2019): 2701–11. http://dx.doi.org/10.4236/jamp.2019.711184.

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12

Narayanan, V. Anantha, and Radha Narayanan. "Inverse-square law of light with Airy’s disk." Physics Teacher 37, no. 1 (January 1999): 8–9. http://dx.doi.org/10.1119/1.880155.

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13

Paik, Ho Jung, M. Vol Moody, and Donald M. Strayer. "Short-Range Inverse-Square Law Experiment in Space." General Relativity and Gravitation 36, no. 3 (March 2004): 523–37. http://dx.doi.org/10.1023/b:gerg.0000010728.51445.51.

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14

Naumov, D. V., V. A. Naumov, and D. S. Shkirmanov. "Inverse-square law violation and reactor antineutrino anomaly." Physics of Particles and Nuclei 48, no. 1 (January 2017): 12–20. http://dx.doi.org/10.1134/s1063779616060174.

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15

Strayer, D. M., Ho Jung Paik, and M. Vol Moody. "Short-range inverse-square law experiment in space." Low Temperature Physics 29, no. 6 (June 2003): 472–80. http://dx.doi.org/10.1063/1.1542531.

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16

Gutiérrez, Cristian E., and Ahmad Sabra. "The reflector problem and the inverse square law." Nonlinear Analysis: Theory, Methods & Applications 96 (February 2014): 109–33. http://dx.doi.org/10.1016/j.na.2013.11.001.

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17

Downie, Russell. "A Data Analysis for the Inverse Square Law." Physics Teacher 45, no. 4 (April 2007): 206–7. http://dx.doi.org/10.1119/1.2715414.

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18

Voudoukis, Nikolaos, and Sarantos Oikonomidis. "Inverse square law for light and radiation: A unifying educational approach." European Journal of Engineering Research and Science 2, no. 11 (November 27, 2017): 23. http://dx.doi.org/10.24018/ejers.2017.2.11.517.

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Many concepts in the physics curricula can be explained by the inverse square law. Point-like sources of gravitational forces, electric fields, light, sound and radiation obey the inverse square law. This geometrical law gives the ability of unifying educational approach of various cognitive subjects in all the educational levels. During the last years we have been using engaging hands-on activities to help our students in order to understand the cohesion in Nature and to export conclusions from experimental data. The development of critical thinking is also stimulated by student‘s experimental activities. Teaching students to think critically is perhaps the most important and difficult thing we do as science teachers. In this paper three activities are described, which were executed by students. These activities are concerning the electromagnetic radiation and the main goal is to confirm the inverse square law. We used three activities entitled as: “Inverse square law-Light”, “Photometer construction” and “Radioactive source”.The significant motive for this work constituted the following question: “Is it possible to find lab activities which bring out unification and a non-piecemeal description of physical phenomena, helping students to think critically?”.
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19

Voudoukis, Nikolaos, and Sarantos Oikonomidis. "Inverse Square Law for Light and Radiation: A Unifying Educational Approach." European Journal of Engineering and Technology Research 2, no. 11 (November 27, 2017): 23–27. http://dx.doi.org/10.24018/ejeng.2017.2.11.517.

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Many concepts in the physics curricula can be explained by the inverse square law. Point-like sources of gravitational forces, electric fields, light, sound and radiation obey the inverse square law. This geometrical law gives the ability of unifying educational approach of various cognitive subjects in all the educational levels. During the last years we have been using engaging hands-on activities to help our students in order to understand the cohesion in Nature and to export conclusions from experimental data. The development of critical thinking is also stimulated by student‘s experimental activities. Teaching students to think critically is perhaps the most important and difficult thing we do as science teachers. In this paper three activities are described, which were executed by students. These activities are concerning the electromagnetic radiation and the main goal is to confirm the inverse square law. We used three activities entitled as: “Inverse square law-Light”, “Photometer construction” and “Radioactive source”.The significant motive for this work constituted the following question: “Is it possible to find lab activities which bring out unification and a non-piecemeal description of physical phenomena, helping students to think critically?”.
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20

Unyapoti, Trai, Thanida Sujarittham, and Siri Sirininlakul. "Students’ understanding of the inverse square law in electrostatics." Journal of Physics: Conference Series 2145, no. 1 (December 1, 2021): 012071. http://dx.doi.org/10.1088/1742-6596/2145/1/012071.

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Abstract One problem of learning Electrostatics is that students often learn from their commonsense beliefs about electric force and electric field. This study investigated students’ conceptual understanding of finding electric force, electric field, and electric potential of point charge after learning an introductory physics course. We administered the Electrostatics Conceptual Evaluation Test to four lecture-based classes in high school. The first question was a comparison of the electric force from two-point charges at two different positions and the second question was a comparison of the electric field from a point charge at two different positions. The use of the inverse square law is required to find the electric force and the electric field at various positions. It was found that many students answered incorrectly. They described that the electric force and the electric field decrease whereas the distance increases by neglecting the inverse square law. This finding can be particularly used to suggest high school teachers to develop their effective strategy to support student learning.
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21

Lockerbie, N. A. "ISLAND—Inverse Square Law Acceleration Measurement Using iNertial Drift." General Relativity and Gravitation 36, no. 3 (March 2004): 593–600. http://dx.doi.org/10.1023/b:gerg.0000010732.01651.a4.

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22

Luijten, Erik, and Holger Meßingfeld. "Criticality in One Dimension with Inverse Square-Law Potentials." Physical Review Letters 86, no. 23 (June 4, 2001): 5305–8. http://dx.doi.org/10.1103/physrevlett.86.5305.

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23

Paik, H. J., and M. V. Moody. "Null test of the inverse-square law of gravity." Classical and Quantum Gravity 11, no. 6A (June 1, 1994): A145—A152. http://dx.doi.org/10.1088/0264-9381/11/6a/011.

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24

Petry, W. Walter. "Superluminal velocity and deviation from Newton's inverse square law." Astrophysics and Space Science 140, no. 2 (1988): 407–19. http://dx.doi.org/10.1007/bf00638994.

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25

Kim, Y., W. Sang Chung, and H. Hassanabadi. "Deviation of inverse square law based on Dunkl derivative: deformed Coulomb’s law." Revista Mexicana de Física 66, no. 4 Jul-Aug (July 1, 2020): 411. http://dx.doi.org/10.31349/revmexfis.66.411.

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In this paper we consider the Coulomb’s law with deviation. We use the Dunkl derivative to derive the deformed Gauss law for the electric field and the electrostatic potentialwhich gives a new deformed electrostatics called a Dunkl-deformed electrostatics. Wemodify the Dunkl derivative for the electric field for multi sources or continuous chargedistribution. We discuss some examples of the Dunkl-deformed electrostatics.
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26

Zhang, Bingzhan, Shengchao Zhen, Han Zhao, Kang Huang, Bin Deng, and Ye-Hwa Chen. "A novel study on Kepler’s law and inverse square law of gravitation." European Journal of Physics 36, no. 3 (March 24, 2015): 035018. http://dx.doi.org/10.1088/0143-0807/36/3/035018.

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27

Jiménez-Lara, Lidia, and Eduardo Piña. "The three-body problem with an inverse square law potential." Journal of Mathematical Physics 44, no. 9 (2003): 4078. http://dx.doi.org/10.1063/1.1597948.

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28

Kolosnitsyn, N. I., and V. N. Melnikov. "Test of the Inverse Square Law Through Precession of Orbits." General Relativity and Gravitation 36, no. 7 (July 2004): 1619–24. http://dx.doi.org/10.1023/b:gerg.0000032154.73097.5b.

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29

Long, Joshua C., and John C. Price. "Current short-range tests of the gravitational inverse square law." Comptes Rendus Physique 4, no. 3 (April 2003): 337–46. http://dx.doi.org/10.1016/s1631-0705(03)00042-2.

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30

Darvell, B. W., and A. P. L. H. Dias. "Non-inverse-square force–distance law for long thin magnets." Dental Materials 22, no. 10 (October 2006): 909–18. http://dx.doi.org/10.1016/j.dental.2005.11.019.

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31

Newman, R. D., E. C. Berg, and P. E. Boynton. "Tests of the Gravitational Inverse Square Law at Short Ranges." Space Science Reviews 148, no. 1-4 (June 4, 2009): 175–90. http://dx.doi.org/10.1007/s11214-009-9540-7.

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32

Papacosta, Pangratios, and Nathan Linscheid. "The Confirmation of the Inverse Square Law Using Diffraction Gratings." Physics Teacher 52, no. 4 (April 2014): 243–45. http://dx.doi.org/10.1119/1.4868944.

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33

Hansraj, Sudan, and Nkululeko Qwabe. "Inverse square law isothermal property in relativistic charged static distributions." Modern Physics Letters A 32, no. 37 (December 4, 2017): 1750204. http://dx.doi.org/10.1142/s0217732317502042.

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We analyze the impact of the inverse square law fall-off of the energy density in a charged isotropic spherically symmetric fluid. Initially, we impose a linear barotropic equation of state [Formula: see text] but this leads to an intractable differential equation. Next, we consider the neutral isothermal metric of Saslaw et al. [Phys. Rev. D 13, 471 (1996)] in an electric field and the usual inverse square law of energy density and pressure results thus preserving the equation of state. Additionally, we discard a linear equation of state and endeavor to find new classes of solutions with the inverse square law fall-off of density. Certain prescribed forms of the spatial and temporal gravitational forms result in new exact solutions. An interesting result that emerges is that while isothermal fluid spheres are unbounded in the neutral case, this is not so when charge is involved. Indeed it was found that barotropic equations of state exist and hypersurfaces of vanishing pressure exist establishing a boundary in practically all models. One model was studied in depth and found to satisfy other elementary requirements for physical admissibility such as a subluminal sound speed as well as gravitational surface redshifts smaller than 2. Buchdahl [Acta Phys. Pol. B 10, 673 (1965)], Böhmer and Harko [Gen. Relat. Gravit. 39, 757 (2007)] and Andréasson [Commum. Math. Phys. 198, 507 (2009)] mass-radius bounds were also found to be satisfied. Graphical plots utilizing constants selected from the boundary conditions established that the model displayed characteristics consistent with physically viable models.
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34

Liu, Chung Ping, Bo Han Cheng, Pei Ling Chen, and Tsun Ren Jeng. "Study of Three-Dimensional Sensing by Using Inverse Square Law." IEEE Transactions on Magnetics 47, no. 3 (March 2011): 687–90. http://dx.doi.org/10.1109/tmag.2010.2103050.

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35

Shibuya, T., K. Kitaguchi, and T. Iwanaga. "The inverse square law in metrology considering a finite photosensitive area." Lighting Research & Technology 52, no. 3 (August 28, 2019): 407–12. http://dx.doi.org/10.1177/1477153519871324.

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In the field of photometry, an inverse square law is often used in which the illuminance value is inversely proportional to the square of the photometric distance. It is well known that this is a rule that assumes that the light source is a point light source. In this research, it is shown by model simulation that the inverse square law cannot be applied with high accuracy depending on the distance and the size of the light-receiving area even in the case of a point light source. Also, when checked experimentally, the experimental results agree well with the simulation.
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36

Fongsuwan, C., and U. Tipparach. "A study of the inverse square law using LCD display projectors." Journal of Physics: Conference Series 1719, no. 1 (January 1, 2021): 012093. http://dx.doi.org/10.1088/1742-6596/1719/1/012093.

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37

Celik, Cahit Tagi, and Lale Guremen. "ANALYTICAL NOISE CONTOUR CONSTRUCTION USING INVERSE SQUARE LAW OF SOUND PROPAGATION." Environmental Engineering and Management Journal 7, no. 4 (2008): 423–26. http://dx.doi.org/10.30638/eemj.2008.061.

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38

Naumov, Vadim A., and Dmitry S. Shkirmanov. "Reactor Antineutrino Anomaly Reanalysis in Context of Inverse-Square Law Violation." Universe 7, no. 7 (July 15, 2021): 246. http://dx.doi.org/10.3390/universe7070246.

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We discuss a possibility that the so-called reactor antineutrino anomaly (RAA), which is a deficit of the ν¯e rates in the reactor experiments in comparison to the theoretical expectations, can at least in part be explained by applying a quantum field-theoretical approach to neutrino oscillations, which in particular predicts a small deviation from the classical inverse-square law at short (but still macroscopic) distances between the neutrino source and detector. An extensive statistical analysis of the current reactor data on the integrated ν¯e event rates vs. baseline is performed to examine this speculation. The obtained results are applied to study another long-standing puzzle—gallium neutrino anomaly (GNA), which is a missing νe flux from 37Ar and 51Cr electron-capture decays as measured by the gallium–germanium solar neutrino detectors GALLEX and SAGE.
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39

Tan Wen-Hai, Wang Jian-Bo, Shao Cheng-Gang, Tu Liang-Cheng, Yang Shan-Qing, Luo Peng-Shun, and Luo Jun. "Recent progress in testing Newtonian inverse square law at short range." Acta Physica Sinica 67, no. 16 (2018): 160401. http://dx.doi.org/10.7498/aps.67.20180636.

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40

Ritchie, Paul, Özkan Karabacak, and Jan Sieber. "Inverse-square law between time and amplitude for crossing tipping thresholds." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475, no. 2222 (February 2019): 20180504. http://dx.doi.org/10.1098/rspa.2018.0504.

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A classical scenario for tipping is that a dynamical system experiences a slow parameter drift across a fold tipping point, caused by a run-away positive feedback loop. We study what happens if one turns around after one has crossed the threshold. We derive a simple criterion that relates how far the parameter exceeds the tipping threshold maximally and how long the parameter stays above the threshold to avoid tipping in an inverse-square law to observable properties of the dynamical system near the fold. For the case when the dynamical system is subject to stochastic forcing we give an approximation to the probability of tipping if a parameter changing in time reverses near the tipping point. The derived approximations are valid if the parameter change in time is sufficiently slow. We demonstrate for a higher-dimensional system, a model for the Indian summer monsoon, how numerically observed escape from the equilibrium converge to our asymptotic expressions. The inverse-square law between peak of the parameter forcing and the time the parameter spends above a given threshold is also visible in the level curves of equal probability when the system is subject to random disturbances.
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41

Adelberger, E. G. "New tests of Einstein's equivalence principle and Newton's inverse-square law." Classical and Quantum Gravity 18, no. 13 (June 21, 2001): 2397–405. http://dx.doi.org/10.1088/0264-9381/18/13/302.

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42

Ander, Mark E., Mark A. Zumberge, Ted Lautzenhiser, Robert L. Parker, Carlos L. V. Aiken, Michael R. Gorman, Michael Martin Nieto, et al. "Test of Newton’s inverse-square law in the Greenland ice cap." Physical Review Letters 62, no. 9 (February 27, 1989): 985–88. http://dx.doi.org/10.1103/physrevlett.62.985.

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43

Darvell, Brian W., and Brian H. Gilding. "Non-inverse-square force–distance law for long thin magnets—Revisited." Dental Materials 28, no. 5 (May 2012): e42-e49. http://dx.doi.org/10.1016/j.dental.2012.02.004.

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44

Bensman, Stephen J., and Lawrence J. Smolinsky. "Lotka's inverse square law of scientific productivity: Its methods and statistics." Journal of the Association for Information Science and Technology 68, no. 7 (March 20, 2017): 1786–91. http://dx.doi.org/10.1002/asi.23785.

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45

SAMI, M. "IMPLEMENTING POWER LAW INFLATION WITH TACHYON ROLLING ON THE BRANE." Modern Physics Letters A 18, no. 10 (March 28, 2003): 691–97. http://dx.doi.org/10.1142/s021773230300968x.

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We study a minimally coupled tachyon field rolling down to its ground state on the FRW brane. We construct tachyonic potential which can implement power law inflation in the brane world cosmology. The potential turns out to be V0ϕ-1 on the brane and reduces to inverse square potential at late times when brane corrections to the Friedmann equation become negligible. We also do similar exercise with a normal scalar field and discover that the inverse square potential on the brane leads to power law inflation.
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46

Antonyuk, P. N. "A new approach to the derivation of the law of universal gravitation from Kepler’s laws." Journal of Physics: Conference Series 2081, no. 1 (November 1, 2021): 012012. http://dx.doi.org/10.1088/1742-6596/2081/1/012012.

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47

Li, Y., A. J. Bushby, and D. J. Dunstan. "The Hall–Petch effect as a manifestation of the general size effect." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 472, no. 2190 (June 2016): 20150890. http://dx.doi.org/10.1098/rspa.2015.0890.

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The experimental evidence for the Hall–Petch dependence of strength on the inverse square-root of grain size is reviewed critically. Both the classic data and more recent results are considered. While the data are traditionally fitted to the inverse square-root dependence, they also fit well to many other functions, both power law and non-power law. There have been difficulties, recognized for half-a-century, in the inverse square-root expression. It is now explained as an artefact of faulty data analysis. A Bayesian meta-analysis shows that the data strongly support the simple inverse or ln d / d expressions. Since these expressions derive from underlying theory, they are also more readily explicable. It is concluded that the Hall–Petch effect is not to be explained by the variety of theories found in the literature, but is a manifestation of, or to be underlain by the general size effect observed throughout micromechanics, owing to the inverse relationship between the stress required and the space available for dislocation sources to operate.
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48

Lee, Hae Seong, Jong Il Park, and Beom Jun Kim. "Modified Kuramoto model with inverse-square law coupling and spatial time delay." Physica A: Statistical Mechanics and its Applications 582 (November 2021): 126263. http://dx.doi.org/10.1016/j.physa.2021.126263.

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49

Thomas, J., P. Kasameyer, O. Fackler, D. Felske, R. Harris, J. Kammeraad, M. Millett, and M. Mugge. "Testing the inverse-square law of gravity on a 465-m tower." Physical Review Letters 63, no. 18 (October 30, 1989): 1902–5. http://dx.doi.org/10.1103/physrevlett.63.1902.

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50

Nagy, I., N. H. March, and P. M. Echenique. "Homogeneous Fermi liquid with ‘artificial’ repulsive inverse square law interparticle potential energy." Physics and Chemistry of Liquids 44, no. 5 (October 2006): 571–78. http://dx.doi.org/10.1080/00319100600861516.

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