Extended Field Interactions in Poisson’s Equation Revision
Source abstract
Abstract
This investigation introduces a new variational approach to refining Poisson’s equation, enabling the inclusion of a broader spectrum of physical phenomena, particularly in the emerging fields of spintronics and the analysis of resonant structures. The innovative formulation extends the traditional capabilities of Poisson’s equation, offering a nonlocal extension to classical theories of gravitation and opening new directions for energy conversion and enhanced communication technologies. By introducing a novel geometric structure, ω˜, into the equation, a deeper understanding of electrostatic potentials is achieved, and the intricate dynamics of the gravitational potential in systems characterized by radial vorticity fluctuations are illuminated. Furthermore, the research elucidates the generation of longitudinal electromagnetic waves and resonant phenomena within dusty plasma media, thereby contributing to the methodological advances in the study of nonequilibrium systems. These theoretical advances have the potential to transform the understanding of complex physical systems and open up opportunities for significant technological achievements across a range of scientific sectors.
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Research context
OpenAlex topics: Characterization and Applications of Magnetic Nanoparticles · Near-Field Optical Microscopy · Electromagnetic Scattering and Analysis
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Physics, Instituto Superior Técnico—IST, University of Lisbon, Av. Rovisco Pais, 1049-001 Lisboa, Portugal
References (92)
Show source-provided references
1. Poisson, C. (2024, January 01). Mécanique Analytique; Paris, France, 1811. Available online: https://openlibrary.org/books/OL24227682M/Trait%C3%A9_de_m%C3%A9canique.
2. Maxwell, J.C. (1873). A Treatise on Electricity and Magnetism, Clarendon Press.
3. A Variational Method in Out-of-Equilibrium Physical Systems10.1038/srep03454 ↗
4. The nuclear shape transition and its relation to a new class of mesoscopic systems
5. Dresselhaus, M.S., and Dresselhaus, G. (2001). Universe in a Nutshell: The Physics of Everything, Springer.
6. Spintronics: Fundamentals and Applications10.1103/RevModPhys.76.323 ↗
7. Serdyukov, V., Semchenko, I., Tretyakov, S., and Sihvola, A. (2001). Electromagnetics of Bi-anisotropic Materials: Theory and Applications, Gordon and Breach.
8. Gilbarg, D., and Trudinger, N.S. (1983). Elliptic Partial Differential Equations of Second Order, Springer. [2nd ed.].
9. Reddy, J.N. (2006). An Introduction to the Finite Element Method, McGraw-Hill. [3rd ed.].
10. Mammoli, A.A., and Kassab, Y.M. (2018). Boundary Element Analysis: Mathematical Aspects and Applications, CRC Press.
11. Ciarlet, P.G., and Lions, J.-L. (1997). Handbook of Numerical Analysis, Elsevier.
12. Nonlocal classical theory of gravity: Massiveness of nonlocality and mass shielding by nonlocality10.1140/epjp/s13360-022-03512-x ↗
13. Mashhoon, B. (2022). Nonlocal Gravity, Oxford Academic.
14. Pawar, S., Duadi, H., and Fixler, D. (2023). Recent Advances in the Spintronic Application of Carbon-Based Nanomaterials. Nanomaterials, 13.10.3390/nano13030598 ↗
15. Progress in ultrafast spintronics research10.1360/SSPMA-2021-0350 ↗
16. Recent advances in magnetoresistance biosensors: A short review10.1088/2399-1984/acbcb5 ↗
17. Poisson structure of a modified Hunter-Saxton equation10.1088/1751-8113/41/28/285207 ↗
18. Resonant tunneling structures with local potential perturbations10.1063/1.355945 ↗
19. Krasil’shchik, J., Verbovetsky, A., and Vitolo, R. (2017). Variational Poisson Structures, Springer.10.1007/978-3-319-71655-8_10 ↗
20. Some effects of topological torsion currents on spacecraft dynamics and the flyby anomaly10.1093/mnras/stw1581 ↗
21. Bandyopadhyay, A., and Ray, K. (2022). Rhythmic Advantages in Big Data and Machine Learning, Springer.10.1007/978-981-16-5723-8 ↗
22. Feng, Y., Lu, S., Wang, K., Lin, W., and Huang, D. (2019). Dynamics and Transport of Magnetized Two-Dimensional Yukawa Liquids, Springer.10.1007/s41614-019-0032-2 ↗
23. Isomorph invariance and thermodynamics of repulsive dense bi-Yukawa one-component plasmas10.1063/1.5100150 ↗
24. Molecular dynamics study of crystal formation and structural phase transition in Yukawa system for dusty plasma medium10.1063/1.5085698 ↗
25. Zaripov, F. (2020). Dark Matter as a Result of Field Oscillations in the Modified Theory of Induced Gravity. Symmetry, 12.10.3390/sym12010041 ↗
26. The shape of the gravitational potential in cold dark matter haloes10.1111/j.1365-2966.2007.11599.x ↗
27. Review on spintronics: Principles and device applications10.1016/j.jmmm.2020.166711 ↗
28. High spin current density in gate-tunable spin-valves based on graphene nanoribbons
29. Qi, A., Sébastien, L., Beux, I., and O’Connor, J.-O.K. (2018, January 19–23). Large scale, high density integration of all spin logic. Proceedings of the 2018 Design, Automation & Test in Europe Conference & Exhibition (DATE), Dresden, Germany.
30. Shaahin, A., Zhezhi, H., Yu, B., Jie, H., Mingjie, L., Ronald, F., and DeMara, D.F. (2018, January 23–25). Leveraging Spintronic Devices for Efficient Approximate Logic and Stochastic Neural Networks. Proceedings of the 2018 on Great Lakes Symposium on VLSI, Chicago, IL, USA.
31. Spin Transfer Torques in MnSi at Ultralow Current Densities10.1126/science.1195709 ↗
32. Cockburn, B.F. (2003, January 23). The emergence of high-density semiconductor-compatible spintronic memory. Proceedings of the International Conference on MEMS, NANO and Smart Systems, Banff, AB, Canada.
33. Generalisation of classical electrodynamics to admit a scalar field and longitudinal waves
34. van Vlaenderen, K.J. (2003). A generalization of classical electrodynamics for the prediction of scalar field effects. arXiv.
35. Longitudinal electromagnetic waves10.1007/BF00895771 ↗
36. Observation of scalar longitudinal electrodynamic waves10.1209/epl/i2002-00136-9 ↗
37. Zaymidoroga, O.A., and Podgainy, D.V. (2011). Cosmic Rays for Particle and Astroparticle Physics, Proceedings of the 12th ICATPP Conference, Como, Italy, 7–8 October 2010, World Scientific.
38. Hively, L. (2016). Systems, Apparatuses, and Methods for Generating and/or Utilizing Scalar-Longitudinal Waves. (No. 9,306,527 B1), U.S. Patent.
39. Causality, electromagnetic potentials, and longitudinal waves
40. Electromagnetic wave theory of closed structures
41. Perfect electromagnetic conductor10.1163/156939305775468741 ↗
42. Electromagnetic wave in a plasma-filled coaxial cable
43. Electromagnetic waves in dusty plasmas
44. Electromagnetic wave propagation in graphene
45. Longitudinal electromagnetic waves with extremely short wavelength10.1103/PhysRevB.104.L100304 ↗
46. Flow of an Incompressible Fluid in a Hydromagnetic Capacitor10.1063/1.1705964 ↗
47. Two-dimensional analytical investigation into energy conversion and efficiency maximization of magnetohydrodynamic swirling flow actuators10.1016/j.energy.2020.118479 ↗
48. Rapid generation of angular momentum in bounded magnetized plasma10.1103/PhysRevLett.101.235003 ↗
49. Photon orbital angular momentum in a plasma vortex
50. Angular momentum injection into a Penning–Malmberg trap10.1063/1.872208 ↗
51. Generation of Strong Fields in Plasma10.1134/1.1348578 ↗
52. Pinheiro, M.J. (2024, January 23). CylindricalPlasmaThruster.ipynb. GitHub Repository. Available online: https://github.com/mjgpinheiro/Physics_models/blob/main/CylindricalPlasmaThruster.ipynb.
53. Short-wavelength radiation pulses with time-varying orbital angular momentum from tailored relativistic electron beams10.1364/OL.496317 ↗
54. Orbital Angular Momentum Resolved Convergent-Beam Electron Diffraction by the Post-Selected Injection of Electron Beam10.1093/jmicro/dfac046 ↗
55. Self-seeded free-electron lasers with orbital angular momentum
56. Pastor, I., Alvarez-Estrada, R.F., Roso, L., and Castejón, F. (2022). Fundamental Studies on Electron Dynamics in Exact Paraxial Beams with Angular Momentum. Photonics, 9.10.3390/photonics9100693 ↗
57. Experimental Demonstration of an Electrostatic Orbital Angular Momentum Sorter for Electron Beams10.1103/PhysRevLett.126.094802 ↗
58. Liu, P., Yan, J., Afanasev, A., Benson, S.V., Hao, H., Mikhailov, S., Popov, V., and Wu, Y. (2020). Orbital angular momentum beam generation using a free-electron laser oscillator. arXiv.
59. Xu, P., and Zhang, C. (2019). International Conference on Communications, Springer.
60. Nguyen, K.X., Jiang, Y., Cao, M.C., Purohit, P., Yadav, A.K., García-Fernández, P., Tate, M.W., Chang, C.S., Aguado-Puente, P., and Íñiguez, J. (2020). Transferring Orbital Angular Momentum to an Electron Beam Reveals Toroidal and Chiral Order. arXiv.
61. Orbital angular momentum superposition states in transmission electron microscopy and bichromatic multiphoton ionization10.1088/1367-2630/abbe54 ↗
62. Realization of electron vortices with large orbital angular momentum using miniature holograms fabricated by electron beam lithography10.1063/1.4977879 ↗
63. Grillo, V., Gazzadi, G.C., Mafakheri, E., Balboni, R., Venturi, F., Menozzi, C., Gazzadi, G.C., Frabboni, S., Sit, A., and Grillo, V. (2016). Realization of electron vortices with large orbital angular momentum using miniature holograms fabricated by electron beam lithography. arXiv.
64. Holographic Generation of Highly Twisted Electron Beams10.1103/PhysRevLett.114.034801 ↗
65. Super-resolution orbital angular momentum holography10.1038/s41467-023-37594-7 ↗
66. Measuring the orbital angular momentum spectrum of an electron beam10.1038/ncomms15536 ↗
67. Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes10.1103/PhysRevA.45.8185 ↗
68. Electron holography—Basics and applications
69. Electron Vortex Beams with High Quanta of Orbital Angular Momentum10.1126/science.1198804 ↗
70. Edmonds, A.R. (1974). Angular Momentum in Quantum Mechanics, Princeton University Press.
71. Generation of electron beams carrying orbital angular momentum10.1038/nature08904 ↗
72. Production and application of electron vortex beams10.1038/nature09366 ↗
73. Spin—Orbit interactions of light10.1038/nphoton.2015.201 ↗
74. Theory and applications of free-electron vortex states
75. The coupling of multi-channel optical vortices based on angular momentum conservation using a single-layer metal metasurface10.1209/0295-5075/acb2f4 ↗
76. Paroli, B., Siano, M., Cremonesi, L., and Potenza, M.N. (2023, January 8–11). High data-transfer density using 4-states optical vortices for deep space optical communication links. Proceedings of the International Conference on Optical Network Design and Modelling, Coimbra, Portugal.10.23919/ONDM57372.2023.10144861 ↗
77. Quantum communication networks with optical vortices10.1103/PhysRevA.108.052612 ↗
78. Generation and verification of optical vortices with controlled phase based on coherent beam combining10.1088/1402-4896/ac91ff ↗
79. Nondiffractive polarization feature of optical vortices10.1117/1.AP.5.3.030503 ↗
80. Optical vortices with an infinite number of screw dislocations10.18287/10.18287/2412-6179-CO-866 ↗
81. Optical vortices in waveguides with discrete and continuous rotational symmetry10.1186/s41476-021-00168-5 ↗
82. Innes, T., Elliott, O., and Scruggs, S. (2024, January 29). Optical Networking with Hybrid Optical Vortices. US Patent 10506312. Available online: https://www.freepatentsonline.com/10506312.html.
83. Improve The Capacity Of Data Transmission In Orbital Angular Momentum Multiplexing By Adjusting Link Structure
84. Multiscale models of plasmonic structural colors with nanoscale surface roughness10.1364/OL.474703 ↗
85. Metallic Plasmonic Nanostructure Arrays for Enhanced Solar Photocatalysis10.1002/lpor.202200700 ↗
86. Singh, A.K., Kumar, A., Dixit, S., and Kumar, A. (2021). Interaction of Light with Plasmonic Nanostructures Fabricated by Nanosphere Lithography, Springer.10.1007/978-981-15-9259-1_189 ↗
87. A generalized Poisson and Poisson-Boltzmann solver for electrostatic environments10.1063/1.4939125 ↗
88. Nonlocal gravity: Modified Poisson’s equation10.1063/1.3702449 ↗
89. Anomalous orbital-energy changes observed during spacecraft flybys of Earth10.1103/PhysRevLett.100.091102 ↗
90. Spin current in magnetic nanostructures
91. Electric-Field Control of Spin Current Generation and Detection in Ferromagnet-Free SrTiO 3 -Based Nanodevices10.1021/acs.nanolett.9b04079 ↗
92. Pinheiro, M.J. (2023, April 14). Physics_models: OAM_EM.ipynb. GitHub repository. Available online: https://github.com/mjgpinheiro/Physics_models/blob/main/OAM_EM.ipynb.