Abstract
In this manuscript, \(\beta -\)electrical \(\phi _{\beta }( {\textbf{e}}_{1}),\phi _{\beta }({\textbf{e}}_{2}),\phi _{\beta }({\textbf{e}} _{3})\) directional microscale is given by directional electroosmotic \(\beta -\)velocity. Also, \(\beta -\)magnetical \(\phi _{\beta }( {\textbf{e}}_{1}),\phi _{\beta }({\textbf{e}}_{2}),\phi _{\beta }({\textbf{e}} _{3})\) directional microscales are presented by electroosmotic \(\beta -\)velocity. Antiferromagnetic \(\beta -\)magnetical \(\phi _{\beta }({\textbf{e}}_{1}),\phi _{\beta }({\textbf{e}}_{2}),\phi _{\beta }( {\textbf{e}}_{3})\) directional microscales are designed by electric optimistic density.
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References
Adedoyin, A.A., Enakoutsa, K., Bammann, D.J.: On the formulation of the kinematics and thermodynamics for polycrystalline materials undergoing phase transformation. Int. J. Plast. 123, 101–120 (2019)
Ahmed, F.: Effects of uniform rotation and electromagnetic potential on the modified Klein-Gordon oscillator in a cosmic string space-time. Int. J. Geom. Methods Modern Phys. 18(12), 2150187 (2021)
Alexakis, A., Chibbaro, S.: Local energy flux of turbulent flows. Phys. Rev. Fluids 5(9), 094604 (2020)
Ashkin, A.: Acceleration and trapping of particles by radiation pressure. Phys. Rev. Lett. 24, 156–159 (1970)
Balakrishnan, R., Bishop, A.R., Dandoloff, R.: Geometric phase in the classical continuous antiferromagnetic Heisenberg spin chain. Phys. Rev. Lett. 64(18), 2107 (1990)
Balakrishnan, R., Bishop, A.R., Dandoloff, R.: Anholonomy of a moving space curve and applications to classical magnetic chains. Phys. Rev. B 47(6), 3108 (1993)
Bilgi, O. R., Savaş, Ö.: Vortex wakes of tip loaded rotors at low Reynolds numbers. Phys. Fluids, 33(7), (2021)
Bliokh, K.Y.: Geometrodynamics of polarized light: berry phase and spin Hall effect in a gradient-index medium. J. Opt. A Pure Appl. Opt. 11(9), 094009 (2009)
Bliokh, K.Y., Niv, A., Kleiner, V., Hasman, E.: Geometrodynamics of spinning light. Nat. Photon. 2(12), 748 (2008)
Chian, A.C., Rempel, E.L., Silva, S.S., Bellot Rubio, L., Gošić, M.: Intensification of magnetic field in merging magnetic flux tubes driven by supergranular vortical flows. Monthly Not. Royal Astron. Soc. 518(4), 4930–4942 (2023)
Davidson, M.: Multi-valued vortex solutions to the Schrö dinger equation and radiation. Ann. Phys. 418, 168196 (2020)
Farías, M.B., Lombardo, F.C., Soba, A., Villar, P.I., Decca, R.S.: Towards detecting traces of non-contact quantum friction in the corrections of the accumulated geometric phase. npj Quantum Inf. 6(1), 25 (2020)
Frustaglia, D., Nitta, J.: Geometric spin phases in Aharonov-Casher interference. Solid State Commun. 311, 113864 (2020)
Gilmore, R.: Length and curvature in the geometry of thermodynamics. Phys. Rev. A 30(4), 1994 (1984)
Gürbüz, N.E.: The pseudo-null geometric phase along optical fiber. Int. J. Geom. Methods Modern Phys. 18(14), 2150230 (2021)
Gürbüz, N.E.: Three geometric phases with the visco-Da Rios equation for the hybrid frame in R13. Optik 248, 168116 (2021)
Gürbüz, N.E.: The evolution of the electric field with Frenet frame in Lorentzian Lie groups. Optik 247, 167989 (2021)
Hasimoto, H.: A soliton on a vortex filament. J. Fluid Mech. 51(3), 477–485 (1972)
Hu, X., Li, X., Yu, S., Lin, P., Zhu, Z.: Hydrodynamic effects of the flow-induced vibrations on the mass transfer and permeate flux in a desalination membrane. Desalination 564, 116710 (2023)
Jiang, Q.D., Hansson, T.H., Wilczek, F.: Geometric induction in chiral superconductors. Phys. Rev. Lett. 124(19), 197001 (2020)
Jiao, F., Li, Q., He, Y.: Electromotive force induced by the moving non-magnetic phase in ferrofluids. Sens. Actuators A Phys. 317, 112472 (2021)
Jing, L., Cheng, J., Ben, T.: Analytical method for magnetic field and electromagnetic performances in switched reluctance machines. J. Electr. Eng. Technol. 14, 1625–1635 (2019)
Jisha, C.P., Nolte, S., Alberucci, A.: Geometric phase in optics: from wavefront manipulation to waveguiding. Laser Photon. Rev. 15(10), 2100003 (2021)
Körpınar, T.: Optical directional binormal magnetic flows with geometric phase: Heisenberg ferromagnetic model. Optik 219, 165134 (2020)
Korpinar, T., Demirkol, R.C.: Electromagnetic curves of the linearly polarized light wave along an optical fiber in a 3D semi-Riemannian manifold. J. Modern Opt. 66(8), 857–867 (2019)
Korpinar, T., Korpinar, Z.: Geometric phase for timelike spherical normal magnetic charged particles optical ferromagnetic model. J. Taibah Univ. Sci. 14(1), 742–749 (2020)
Körpınar, T., Körpınar, Z.: Spherical electric and magnetic phase with Heisenberg spherical ferromagnetic spin by some fractional solutions. Optik 242, 167164 (2021)
Körpinar, T., Körpinar, Z.: Optical spherical Ss-electric and magnetic phase with fractional q-HATM approach. Optik 243, 167274 (2021)
Körpinar, Z., Körpinar, T.: Optical hybrid electric and magnetic B1-phase with Landau Lifshitz approach. Optik 247, 167917 (2021)
Körpınar, Z., Körpınar, T.: Optical hybrid electric and magnetic B\(_{1}\)-phase with Landau Lifshitz approach. Optik 247, 167917 (2021)
Körpınar, Z., Körpınar, T.: Optical tangent hybrid electromotives for tangent hybrid magnetic particle. Optik 247, 167823 (2021)
Körpinar, Z., Körpinar, T.: Optical normal antiferromagnetic electromotive microscale with optimistic density. Optik 261, 169019 (2022)
Körpinar, T., Körpinar, Z.: Optical hybrid electrical visco ferromagnetic microscale with hybrid electrolytic thruster. Opt. Quantum Electr. 54(12), 826 (2022)
Körpinar, T., Körpinar, Z.: Antiferromagnetic complex electromotive microscale with first type Schrödinger frame. Opt. Quantum Electron. 55(6), 505 (2023)
Körpinar, T., Körpinar, Z.: Antiferromagnetic Schr ödinger electromotive microscale in Minkowski space. Opt. Quantum Electron. 55(8), 681 (2023)
Körpinar, T., Körpinar, Z.: Antiferromagnetic viscosity model for electromotive microscale with second type nonlinear heat frame. Int. J. Geom. Methods Modern Phys. p. 2350163, (2023)
Körpinar, Z., Körpinar, T.: New optical quasi normal antiferromagnetic microscale in Heisenberg algebra. Int. J. Geom. Methods Modern Phys. 20(06), 2350104 (2023)
Körpinar, T., Körpinar, Z.: Antiferromagnetic viscosity model for electromotive microscale with second type nonlinear heat frame. Int. J. Geom. Methods Modern Phys. p. 2350163, (2023).
Körpinar, T., Körpinar, Z.: Optical recursional binormal optical visco Landau-Lifshitz electromagnetic optical density. Commun. Theor. Phys. 75(5), 055003 (2023)
Körpinar, T., Körpinar, Z. : Optical visco microfluidic optimistic hybrid optical electromotive microscale. Int. J. Modern Phys. B, p. 2450159, (2023)
Körpinar, Z., Körpinar, T. : New optical recursional spherical ferromagnetic flux for optical sonic microscale. J. Nonlinear Opt. Phys. Mater. p. 2350051, (2023)
Körpınar, T., Körpınar, Z.: Optical phase of recursional hybrid visco ferromagnetic electromagnetic microscale. Phys. Lett. A 462, 128651 (2023)
Körpınar, T., Demirkol, R.C., Körpınar, Z.: Soliton propagation of electromagnetic field vectors of polarized light ray traveling along with coiled optical fiber on the unit 2-sphere \(\mathbb{S} ^{2}\). Rev. Mex. Fis. 65(6), 626–633 (2019)
Körpınar, T., Demirkol, R.C., Körpınar, Z.: Soliton propagation of electromagnetic field vectors of polarized light ray traveling in a coiled optical fiber in Minkowski space with Bishop equations. Eur. Phys. J. D 73(9), 203 (2019)
Körpınar, T., Demirkol, R.C., Körpınar, Z.: Soliton propagation of electromagnetic field vectors of polarized light ray traveling in a coiled optical fiber in the ordinary space. Int. J. Geom. Methods Modern Phys. 16(8), 1950117 (2019)
Körpınar, T., Demirkol, R.C., Körpınar, Z., Asil, V.: Maxwellian evolution equations along the uniform optical fiber in Minkowski space. Revista Mexicana de Física 66(4), 431–439 (2020)
Körpınar, T., Demirkol, R.C., Körpınar, Z.: New analytical solutions for the inextensible Heisenberg ferromagnetic flow and solitonic magnetic flux surfaces in the binormal direction. Physica Scripta 96(8), 085219 (2021)
Körpınar, T., Demirkol, R.C., Körpınar, Z.: Approximate solutions for the inextensible Heisenberg antiferromagnetic flow and solitonic magnetic flux surfaces in the normal direction in Minkowski space. Optik 238, 166403 (2021)
Korpinar, T., Demirkol, R.C., Korpinar, Z.: New fractional Heisenberg antiferromagnetic model and solitonic magnetic flux surfaces with normal direction. Int. J. Geom. Methods Modern Phys. 18(09), 2150136 (2021)
Körpinar, T., Demirkol, R.C., Körpinar, Z., Asil, V.: Fractional solutions for the inextensible Heisenberg antiferromagnetic flow and solitonic magnetic flux surfaces in the binormal direction. Revista mexicana de física 67(3), 452–464 (2021)
Körpınar, T., Demirkol, R.C., Körpınar, Z.: Polarization of propagated light with optical solitons along the fiber in de-sitter space. Optik 226, 165872 (2021)
Körpınar, T., Körpınar, Z., Yeneroğlu, M.: Optical energy of spherical velocity with optical magnetic density in Heisenberg sphere space \({\mathbb{S} }_{Heis^{3}}^{2}\). Optik 247, 167937 (2021)
Körpınar, T., Sazak, A., Körpınar, Z.: Optical effects of some motion equations on quasi-frame with compatible Hasimoto map. Optik 247, 167914 (2021)
Körpınar, T., Demirkol, R.C., Körpınar, Z.: Optical magnetic helicity with binormal electromagnetic vortex filament flows in MHD. Optik 247, 167823 (2021)
Körpinar, T., Körpinar, Z., Yeneroğlu, M.: New optical total recursion for electromagnetic flux of optical fiber with optical microscale. Optik 264, 169373 (2022)
Körpinar, T., Sazak, A., Körpinar, Z.: Optical recursion systems for the Hasimoto map and optical applications with spherical frame. Optik 260, 168909 (2022)
Körpinar, T., Körpinar, Z., Asil, V.: Optical modeling for hybrid visco ferromagnetic electromotive energy flux microscale. Optik 268, 169770 (2022)
Körpınar, T., Demirkol, R.C., Körpınar, Z.: Normal electromagnetic flux surfaces with the existence of the visco-modified effect. J. Comput. Electron. 21(3), 684–712 (2022)
Körpınar, T., Demirkol, R.C., Körpınar, Z.: Optical flux surfaces throughout normal evoluted flowlines in the presence of the modified visco effect. Eur. Phys. J. Plus 137(10), 1168 (2022)
Körpınar, T., Ünlütürk, Y., Körpınar, Z.: A novel approach to the motion equations of null Cartan curves via the compatible Hasimoto map. Optik 290, 171220 (2023)
Körpınar, T., Demirkol, R.C., Körpınar, Z., Asil, V.: Maxwellian evolution equations along the uniform optical fiber in Minkowski space. Optik 217, 164561 (2020)
Körpınar, T., Demirkol, R.C., Körpınar, Z.: Approximate solutions for the inextensible Heisenberg antiferromagnetic flow and solitonic magnetic flux surfaces in the normal direction in Minkowski space. Optik 238, 166403 (2021)
Körpınar, T., Körpınar, Z., Demirkol, R.C.: Binormal schrodinger system of wave propagation field of light radiate in the normal direction with q-HATM approach. Optik 235, 166444 (2020)
Körpınar, T., Demirkol, R.C., Körpınar, Z.: Magnetic helicity and electromagnetic vortex filament flows under the influence of Lorentz force in MHD. Optik 242, 167302 (2021)
Körpinar, T., Körpinar, Z., Asil, V.: Electric flux fibers with spherical antiferromagnetic approach with electroosmotic velocity. Optik 252, 168108 (2022)
Körpınar, T., Demirkol, R.C., Asil, V., Körpinar, Z.: Magnetic flux surfaces by the fractional Heisenberg antiferromagnetic flow of magnetic b- lines in binormal direction in Minkowski space. J. Magn. Magn. Mater. 549, 168952 (2022)
Körpinar, T., Körpinar, Z., Yeneroğlu, M.: New optical total recursion for electromagnetic flux of optical fiber with optical microscale. Optik 264, 169373 (2022)
Körpinar, T., Körpinar, Z., Asil, V.: Optical electromotive microscale with first type Schrödinger frame. Optik 276, 170629 (2023)
Moroz, A., Rudnev, I., Kashurnikov, V., Khokhorin, S., Batulin, R.: (2023). Features of Magnetization and Vortex System of Magnesium Diboride. J. Supercond. Novel Magn. pp. 1-8
Namikawa, T., Hamabata, H.: The effect of microscale random Alfvén waves on the propagation of large-scale Alfvén waves. J. Plasma Phys. 29(2), 243–253 (1983)
Özüpak, Y., Mamiş, M.S.: Realization of electromagnetic flux and thermal analyses of transformers by finite element method. IEEJ Transact. Electr. Electron. Eng. 14(10), 1478–1484 (2019)
Ricca, R.L.: Physical interpretation of certain invariants for vortex filament motion under LIA. Phys. Fluids A Fluid Dyn. 4(5), 938–944 (1992)
Ricca, R.L.: Inflexional disequilibrium of magnetic flux-tubes. Fluid Dyn. Res. 36(4–6), 319 (2005)
Sazak, A.: Energy simulations for some optic systems: the Heisenberg ferromagnetic and the recursive vortex filament approximations. Opt. Quantum Electron. 55(5), 479 (2023)
Shoukat, G., Idrees, H., Sajid, M., Ali, S., Ayaz, Y., Nawaz, R., Ansari, A.R.: Numerical analysis of permeate flux in reverse osmosis by varying strand geometry. Sci. Rep. 12(1), 16636 (2022)
Terrington, S.J., Hourigan, K., Thompson, M.C.: The generation and diffusion of vorticity in three-dimensional flows: Lyman’s flux. J. Fluid Mech. 915, A106 (2021)
Thong, K.H., Melatos, A., Drummond, L.V.: Stability of interlinked neutron vortex and proton flux-tube arrays in a neutron star-III. Proton feedback. Mon. Not. Royal Astron. Soc. 521(4), 5724–5737 (2023)
Viehland, D., Jang, S.J., Cross, L.E., Wuttig, M.: Freezing of the polarization fluctuations in lead magnesium niobate relaxors. J. Appl. Phys. 68(6), 2916–2921 (1990)
Vieira, V.R., Horley, P.P.: The Frenet-Serret representation of the Landau-Lifshitz-Gilbert equation. J. Phys. A Math. Theor. 45(6), 065208 (2012)
Vora, A.M., Gandhi, A.L.: Theoretical investigation of superconducting state parameters of some bulk metallic glasses using pseudopotential approach. J. Supercond. Novel Magn. 33, 323–330 (2020)
Wassmann, F., Ankiewicz, A.: Berry’s phase analysis of polarization rotation in helicoidal fibers. Appl. Opt. 37(18), 3902–3911 (1998)
Zhao, J.C.: Combinatorial approaches as effective tools in the study of phase diagrams and composition-structure-property relationships. Progr. Mater. Sci. 51(5), 557–631 (2006)
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Körpinar, T., Körpinar, Z. Optical directional antiferromagnetic β magnetic directional optimistic density. Opt Quant Electron 55, 1237 (2023). https://doi.org/10.1007/s11082-023-05467-4
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DOI: https://doi.org/10.1007/s11082-023-05467-4