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Journal articles on the topic 'Vortex Theory'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Newton, P. K. "N-vortex equilibrium theory." Discrete & Continuous Dynamical Systems - A 19, no. 2 (2007): 411–18. http://dx.doi.org/10.3934/dcds.2007.19.411.

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2

Lewins, Jeffery, and Adrian Bejan. "Vortex tube optimization theory." Energy 24, no. 11 (1999): 931–43. http://dx.doi.org/10.1016/s0360-5442(99)00039-0.

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3

Koumoutsakos, G.-H. Cottet and P. D. "Vortex Methods: Theory and Practice." Measurement Science and Technology 12, no. 3 (2001): 354. http://dx.doi.org/10.1088/0957-0233/12/3/704.

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4

Lansky, I. M., T. M. O'Neil, and D. A. Schecter. "A Theory of Vortex Merger." Physical Review Letters 79, no. 8 (1997): 1479–82. http://dx.doi.org/10.1103/physrevlett.79.1479.

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5

Kierfeld, J., H. Nordborg, and V. M. Vinokur. "Theory of Plastic Vortex Creep." Physical Review Letters 85, no. 23 (2000): 4948–51. http://dx.doi.org/10.1103/physrevlett.85.4948.

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6

Sychev, Vik V. "Asymptotic theory of vortex breakdown." Fluid Dynamics 28, no. 3 (1993): 356–64. http://dx.doi.org/10.1007/bf01051150.

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7

Gaitonde, D. M., and T. V. Ramakrishnan. "Microscopic theory of vortex dynamics." Physica C: Superconductivity 235-240 (December 1994): 245–48. http://dx.doi.org/10.1016/0921-4534(94)91359-5.

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8

McWilliams, James C., Lee P. Graves, and Michael T. Montgomery. "A Formal Theory for Vortex Rossby Waves and Vortex Evolution." Geophysical & Astrophysical Fluid Dynamics 97, no. 4 (2003): 275–309. http://dx.doi.org/10.1080/0309192031000108698.

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9

Sharifi, Morteza, and Behruz Raesi. "Vortex Theory for Two Dimensional Boussinesq Equations." Applied Mathematics and Nonlinear Sciences 5, no. 2 (2020): 67–84. http://dx.doi.org/10.2478/amns.2020.2.00014.

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AbstractIn this paper, the single center vortex method (SCVM) is extended to find some vortex solutions of finite core size for dissipative 2D Boussinesq equations. Solutions are expanded in to series of Hermite eigenfunctions. After confirmation the convergence of series of the solution, we show that, by considering the effect of temperature on the evolution of the vortex for the same initial condition as in [19] the symmetry of the vortex destroyed rapidly.

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10

Amirdjanova, Anna. "Vortex theory approach to stochastic hydrodynamics." Mathematical and Computer Modelling 45, no. 11-12 (2007): 1319–41. http://dx.doi.org/10.1016/j.mcm.2006.11.001.

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11

Ao, P., and X. M. Zhu. "Vortex dynamics within the BCS theory." Physica C: Superconductivity 282-287 (August 1997): 367–70. http://dx.doi.org/10.1016/s0921-4534(97)00272-4.

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12

Kim, Chanju. "Vortex-type solutions in ABJM theory." Journal of Physics: Conference Series 343 (February 8, 2012): 012057. http://dx.doi.org/10.1088/1742-6596/343/1/012057.

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13

Sela, Nathan, and Isaac Goldhirsch. "Stability theory of an elliptical vortex." Physics of Fluids A: Fluid Dynamics 4, no. 10 (1992): 2252–70. http://dx.doi.org/10.1063/1.858466.

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14

Marino, E. C. "Quantum theory of nonlocal vortex fields." Physical Review D 38, no. 10 (1988): 3194–98. http://dx.doi.org/10.1103/physrevd.38.3194.

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15

Bouchaud, Jean-Philippe, Marc Mézard, and Jonathan S. Yedidia. "Variational theory for disordered vortex lattices." Physical Review Letters 67, no. 27 (1991): 3840–43. http://dx.doi.org/10.1103/physrevlett.67.3840.

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16

Luther-Davies, Barry, Jason Christou, Vladimir Tikhonenko, and Yuri S. Kivshar. "Optical vortex solitons: experiment versus theory." Journal of the Optical Society of America B 14, no. 11 (1997): 3045. http://dx.doi.org/10.1364/josab.14.003045.

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17

Chadwick, Edmund. "A slender–wing theory in potential flow." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 461, no. 2054 (2005): 415–32. http://dx.doi.org/10.1098/rspa.2004.1295.

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Consider uniform, steady potential flow past a slender wing. By considering a horseshoe vortex in the limit as γ / Us → ∞, where γ is the circulation, U is the uniform stream velocity and s is the span, a model representing a vortex sheet is obtained from which the lift on the slender wing can be determined. (This is in contrast to the textbook approach of Batchelor and Katz & Plotkin, who discretize the vortex sheet with horseshoe vortices in the limit as γ / Us → ∞, but then relate the vortex strength to lift by using the two–dimensional limit γ / Us → 0. We shall argue that using these

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18

Pritchard, W. G., Karl E. Gustafson, and James A. Sethian. "Vortex Methods and Vortex Motion." Mathematics of Computation 59, no. 199 (1992): 302. http://dx.doi.org/10.2307/2153002.

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19

Migdal, Alexander. "Vortex sheet turbulence as solvable string theory." International Journal of Modern Physics A 36, no. 05 (2021): 2150062. http://dx.doi.org/10.1142/s0217751x21500627.

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We study steady vortex sheet solutions of the Navier–Stokes in the limit of vanishing viscosity at fixed energy flow. We refer to this as the turbulent limit. These steady flows correspond to a minimum of the Euler Hamiltonian as a functional of the tangent discontinuity of the local velocity parametrized as [Formula: see text]. This observation means that the steady flow represents the low-temperature limit of the Gibbs distribution for vortex sheet dynamics with the normal displacement [Formula: see text] of the vortex sheet as a Hamiltonian coordinate and [Formula: see text] as a conjugate

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20

Wylie, Hal, and Jean Métellus. "Louis Vortex." World Literature Today 66, no. 4 (1992): 759. http://dx.doi.org/10.2307/40148777.

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21

Reznik, G. M., та W. K. Dewar. "An analytical theory of distributed axisymmetric barotropic vortices on the β-plane". Journal of Fluid Mechanics 269 (25 червня 1994): 301–21. http://dx.doi.org/10.1017/s0022112094001576.

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An analytical theory of barotropic β-plane vortices is presented in the form of an asymptotic series based on the inverse of vortex nonlinearity. In particular, a solution of the initial value problem is given, in which the vortex is idealized as a radially symmetric function of arbitrary structure. Motion of the vortex is initiated by its interaction with the so-called ‘β-gyres’ which, in turn, are generated by the vortex circulation. Comparisons of analytical and numerical predictions for vortex motion are presented and demonstrate the utility of the present theory for times comparable to th

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22

Ma, Wen Qi, Li Fang Xu, and He Chun Yu. "Structural Optimization of Non-Contact Vortex Negative Pressure Carrier." Advanced Materials Research 97-101 (March 2010): 3219–24. http://dx.doi.org/10.4028/www.scientific.net/amr.97-101.3219.

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Simulation models based on the different structural levitation vortexes were built, the analysis on the flow characteristics of pressure distribution and bearing capacity was conducted by using the RNG κ-ε turbulent model and non-uniform meshing in variable working conditions. At last, the influence factors and variation rules of vortex adsorption negative pressure effect were obtained. The theory and the experiment results indicate that the vortex carrier with symmetrical tangential air supply has the optimal stability, but the optimal negative pressure effect and the great lifting force are

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23

Dritschel, David G. "A general theory for two-dimensional vortex interactions." Journal of Fluid Mechanics 293 (June 25, 1995): 269–303. http://dx.doi.org/10.1017/s0022112095001716.

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A general theory for two-dimensional vortex interactions is developed from the observation that, under slowly changing external influences, an individual vortex evolves through a series of equilibrium states until such a state proves unstable. Once an unstable equilibrium state is reached, a relatively fast unsteady evolution ensues, typically involving another nearby vortex. During this fast unsteady evolution, a fraction of the original coherent circulation is lost to filamentary debris, and, remarkably, the flow reorganizes into a set of quasi-steady stable vortices.The simplifying feature

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24

GORSHKOV, KONSTANTIN A., LEV A. OSTROVSKY, and IRINA A. SOUSTOVA. "Perturbation theory for Rankine vortices." Journal of Fluid Mechanics 404 (February 10, 2000): 1–25. http://dx.doi.org/10.1017/s0022112099007211.

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A perturbation scheme is constructed to describe the evolution of stable, localized Rankine-type hydrodynamic vortices under the action of disturbances such as density stratification. It is based on the elimination of singularities in perturbations by using the necessary orthogonality conditions which determine the vortex motion. Along with the discrete-spectrum modes of the linearized problem which can be kept finite by imposing the orthogonality conditions, the continuous-spectrum perturbations play a crucial role. It is shown that in a stratified fluid, a single (monopole) vortex can be des

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25

Piralishvili, Sh A., and A. I. Azarov. "Vortex Effects: Theory, Experiment, Industrial Application, Prospects." Heat Transfer Research 37, no. 8 (2006): 707–30. http://dx.doi.org/10.1615/heattransres.v37.i8.60.

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26

Tomilin, A. K. "The Potential-Vortex Theory of Electromagnetic Waves." Journal of Electromagnetic Analysis and Applications 05, no. 09 (2013): 347–53. http://dx.doi.org/10.4236/jemaa.2013.59055.

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27

Horia, DUMITRESCU, CARDOŞ Vladimir, Alexandru DUMITRACHE Alexandru DUMITRACHE, and FRUNZULICĂ Florin. "Vortex theory of the ideal wind turbine." INCAS BULLETIN 1, no. 2 (2009): 90–101. http://dx.doi.org/10.13111/2066-8201.2009.1.2.14.

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28

Newton, Paul K., and George Chamoun. "Vortex Lattice Theory: A Particle Interaction Perspective." SIAM Review 51, no. 3 (2009): 501–42. http://dx.doi.org/10.1137/07068597x.

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29

Jones, Roger D. "Kinetic theory of electron drift vortex modes." Physics of Fluids 31, no. 3 (1988): 535. http://dx.doi.org/10.1063/1.866835.

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30

Dibattista, Mark T., Andrew J. Majda, and Bruce Turkington. "Prototype geophysical vortex structuresvialarge-scale statistical theory." Geophysical & Astrophysical Fluid Dynamics 89, no. 3-4 (1998): 235–83. http://dx.doi.org/10.1080/03091929808203687.

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31

Balents, Leon, and Subir Sachdev. "Dual vortex theory of doped Mott insulators." Annals of Physics 322, no. 11 (2007): 2635–64. http://dx.doi.org/10.1016/j.aop.2007.02.001.

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32

Hemati, Maziar S., Jeff D. Eldredge, and Jason L. Speyer. "Improving vortex models via optimal control theory." Journal of Fluids and Structures 49 (August 2014): 91–111. http://dx.doi.org/10.1016/j.jfluidstructs.2014.04.004.

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33

Sergeev, Andrei, and Michael Reizer. "Entropy-based theory of thermomagnetic phenomena." International Journal of Modern Physics B 35, no. 18 (2021): 2150190. http://dx.doi.org/10.1142/s0217979221501903.

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We show that in the linear response approximation only entropy provides coupling between thermal and electric phenomena. The dissipationless quantum currents — magnetization, superconducting, persistent and topological edge currents — do not produce and transfer entropy and may be excluded from final formulas for thermomagnetic coefficients. The magnetization energy flux, [Formula: see text], in crossed electric and magnetic fields strongly modifies the Poynting vector in magnetic materials and metamaterials, but do not contribute to the heat current. Calculating entropy fluxes of fluctuating

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34

Burgess, B. H., and R. K. Scott. "Scaling theory for vortices in the two-dimensional inverse energy cascade." Journal of Fluid Mechanics 811 (December 16, 2016): 742–56. http://dx.doi.org/10.1017/jfm.2016.756.

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We propose a new similarity theory for the two-dimensional inverse energy cascade and the coherent vortex population it contains when forced at intermediate scales. Similarity arguments taking into account enstrophy conservation and a prescribed constant energy injection rate such that $E\sim t$ yield three length scales, $l_{\unicode[STIX]{x1D714}}$, $l_{E}$ and $l_{\unicode[STIX]{x1D713}}$, associated with the vorticity field, energy peak and streamfunction, and predictions for their temporal evolutions, $t^{1/2}$, $t$ and $t^{3/2}$, respectively. We thus predict that vortex areas grow linea

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35

Kambe, Tsutomu. "Vortex Sound with Special Reference to Vortex Rings: Theory, Computer Simulations, and Experiments." International Journal of Aeroacoustics 9, no. 1-2 (2010): 51–89. http://dx.doi.org/10.1260/1475-472x.9.1-2.51.

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36

Branlard, Emmanuel, and Mac Gaunaa. "Development of new tip-loss corrections based on vortex theory and vortex methods." Journal of Physics: Conference Series 555 (December 16, 2014): 012012. http://dx.doi.org/10.1088/1742-6596/555/1/012012.

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37

Korotaev, Gennady K., and Alexander B. Fedotov. "Dynamics of an isolated barotropic eddy on a beta-plane." Journal of Fluid Mechanics 264 (April 10, 1994): 277–301. http://dx.doi.org/10.1017/s0022112094000662.

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The dynamics of a Gaussian isolated barotropic eddy on a β-plane is considered. The analytical solution of the evolution of an isolated vortex is constructed by analogy to the theory of a point vortex. The results of a numerical experiment are compared with the conclusions of the theory for the case of the Gaussian vortex. Characteristics of the vortex such as its radius, trajectory of movement, kinetic energy, residual vorticity, and the structure of the vortex are discussed. The analysis of the numerical results shows that the experimentally determined radius of the vortex, its energy, and r

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38

Lucia Perillo. "Rotator Cuff Vortex." World Literature Today 88, no. 1 (2014): 40. http://dx.doi.org/10.7588/worllitetoda.88.1.0040.

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39

de Gannes, Nehassaiu. "Vortex." Callaloo 19, no. 3 (1996): 628–31. http://dx.doi.org/10.1353/cal.1996.0114.

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40

YANG, JIE, YANG LI, YU-XIAO LIU, and YI-SHI DUAN. "MULTIVORTICES EVOLUTION IN WEAK COUPLED ABJM THEORY." International Journal of Modern Physics A 25, no. 29 (2010): 5369–81. http://dx.doi.org/10.1142/s0217751x10050779.

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Following Auzzi' work (arXiv:0906.2366), where new vortex solution is found in weak coupled ABJM theory, we apply the ϕ-mapping topological current method to this vortex, and find the multivortices solution could be obtained naturally. Also this multivortices solution gives a clue of the possibility for the antivortex existence. Then we continue to investigate the vortices evolution of the solution, and this leads to the multivortices evolution that used to be hard to handle in conventional vortices scattering theory.

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41

Lee, Injae, and Haecheon Choi. "Scaling law for the lift force of autorotating falling seeds at terminal velocity." Journal of Fluid Mechanics 835 (November 27, 2017): 406–20. http://dx.doi.org/10.1017/jfm.2017.746.

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We provide a scaling law for the lift force of autorotating falling seeds at terminal velocity to describe the relation among the lift force, seed geometry and terminal descending and rotating velocities. Two theories, steady wing-vortex theory and actuator-disk theory, are examined to derive the scaling law. In the steady wing-vortex theory, the strength of a leading-edge vortex is scaled with the circulation around a wing and the lift force is modelled by the time derivative of vortical impulse, whereas the conservations of mass, linear and angular momentum, and kinetic energy across the aut

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42

LEE, HYUK-JAE. "TOPOLOGICAL FIELD THEORY OF VORTICES OVER CLOSED KÄHLER MANIFOLD." International Journal of Modern Physics A 10, no. 30 (1995): 4371–85. http://dx.doi.org/10.1142/s0217751x95002023.

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We show that the vortex equations of the n-dimensional closed Kähler manifolds can be derived from Einstein-Hermitian equations of the (n+1)-dimensional closed Kähler manifolds by setting invariance under translation in the (n+1)th component direction. We construct the topological theory about the vortex pair model through the dimensional reduction of the topological BRST structure.

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43

YANG, JIANFU. "EXISTENCE AND ASYMPTOTIC BEHAVIOR IN PLANAR VORTEX THEORY." Mathematical Models and Methods in Applied Sciences 01, no. 04 (1991): 461–75. http://dx.doi.org/10.1142/s021820259100023x.

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44

EZAWA, Z. F., and A. IWAZAKI. "CHERN-SIMONS GAUGE THEORY FOR DOUBLE-LAYER ELECTRON SYSTEM." International Journal of Modern Physics B 06, no. 19 (1992): 3205–34. http://dx.doi.org/10.1142/s0217979292002450.

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We present a microscopic theory of the fractional quantum Hall effect at the filling factor ν with even denominator, which is recently observed in a double-layer electron system. In our approach electrons belonging to different layers are interpreted as different types of anyons with appropriate statistics. The wavefunction of the Hall state is calculated, which is found to coincide with that of Halperin. We also analyze vortex (quasihole) excitations. It is shown that a single vortex carries electric charges on both of the layers; for instance, a vortex at ν=½ has the electric charge [Formula

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45

Sakita, B., Dong-Ning Sheng, and Zhao-Bin Su. "COLLECTIVE FIELD THEORY APPLIED TO THE FRACTIONAL QUANTUM HALL EFFECT." International Journal of Modern Physics B 05, no. 01n02 (1991): 417–26. http://dx.doi.org/10.1142/s0217979291000262.

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We present an application of collective field theory to the fractional quantum Hall effect (FQHE). We first express the condition, that the electrons are all in the lowest Landau level, as a constraint equation for the state functional. We then derive the fractional filling factor from this equation together with the no-free-vortex assumption. A hierarchy of filling factors is derived by using the particle-vortex dual transformations. In the final section we discuss an attempt at a dynamical theory of FQHE, which would justify the no-free-vortex assumption. A derivation of Laughlin’s wave func

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46

Mintairov, Alexander, Dmitrii Lebedev, Alexei Vlasov, Andrey Bogdanov, Shahab Ramezanpour, and Steven Blundell. "Fractional Charge States in the Magneto-Photoluminescence Spectra of Single-Electron InP/GaInP2 Quantum Dots." Nanomaterials 11, no. 2 (2021): 493. http://dx.doi.org/10.3390/nano11020493.

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We used photoluminescence spectra of single electron quasi-two-dimensional InP/GaInP2 islands having Wigner-Seitz radius ~4 to measure the magnetic-field dispersion of the lowest s, p, and d single-particle states in the range 0–10 T. The measured dispersion revealed up to a nine-fold reduction of the cyclotron frequency, indicating the formation of nano-superconducting anyon or magneto-electron (em) states, in which the corresponding number of magnetic-flux-quanta vortexes and fractional charge were self-generated. We observed a linear increase in the number of vortexes versus the island size

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47

van Kuik, Gijs A. M. "Joukowsky actuator disc momentum theory." Wind Energy Science 2, no. 1 (2017): 307–16. http://dx.doi.org/10.5194/wes-2-307-2017.

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Abstract. Actuator disc theory is the basis for most rotor design methods, albeit with many extensions and engineering rules added to make it a well-established method. However, the off-design condition of a very low rotational speed Ω of the disc is still a topic for scientific discussions. Several authors have presented solutions of the associated momentum theory for actuator discs with a constant circulation, the so-called Joukowsky discs, showing the efficiency Cp → ∞ for the tip speed ratio λ → 0. The momentum theory is very sensitive to the choice of the radius δ of the core of the centr

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48

Handler, Robert A., and Michael J. Buckingham. "Numerical Simulation and Linearized Theory of Vortex Waves in a Viscoelastic, Polymeric Fluid." Fluids 6, no. 9 (2021): 325. http://dx.doi.org/10.3390/fluids6090325.

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In a high viscosity, polymeric fluid initially at rest, the release of elastic energy produces vorticity in the form of coherent motions (vortex rings). Such behavior may enhance mixing in the low Reynolds number flows encountered in microfluidic applications. In this work, we develop a theory for such flows by linearizing the governing equations of motion. The linear theory predicts that when elastic energy is released in a symmetric manner, a wave of vorticity is produced with two distinct periods of wave motion: (1) a period of wave expansion and growth extending over a transition time scal

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49

Yokoyama, Takehito, Masanori Ichioka, and Yukio Tanaka. "Theory of Pairing Symmetry in Fulde–Ferrell–Larkin–Ovchinnikov Vortex State and Vortex Lattice." Journal of the Physical Society of Japan 79, no. 3 (2010): 034702. http://dx.doi.org/10.1143/jpsj.79.034702.

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50

Powell, Alan. "Vortex sound theory: Direct proof of equivalence of ‘‘vortex force’’ and ‘‘vorticity‐alone’’ formulations." Journal of the Acoustical Society of America 97, no. 3 (1995): 1534–37. http://dx.doi.org/10.1121/1.413095.

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