Some properties of the ideal Ginzburg–Landau vortex lattice

ABSTRACT In the Ginzburg–Landau limit, a possible texture without singular cores in a rotating neutron spin-triplet superfluid is studied. The lattice of non-singular vortices is constructed with a vorticity diffusely distributed over the entire unit cell. The upper limit of the free energy associated with this structure is estimated, and the result shows that non-singular vortices are more preferable in the core of rotating neutron stars than ordinary linear singular vortices. The order parameter of the studied neutron system belongs to the unitary class. This implies that the superfluid under consideration does not have spin polarization and the core-less 3P2 vortices do not have magnetization, which makes electron scattering by vortices ineffective. For the same reason, pinning with flux tubes is also suppressed. This can affect the hydrodynamics of superfluid neutron stars.

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Numerical study for vortex lattice transition with extended Ginzburg–Landau model

Physica C Superconductivity ◽

10.1016/s0921-4534(98)00598-x ◽

1998 ◽

Vol 309 (1-2) ◽

pp. 65-70 ◽

Cited By ~ 1

Author(s):

Ayumi Fujita

Keyword(s):

Vortex Lattice ◽

Numerical Study ◽

Ginzburg Landau ◽

Landau Model

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LORENTZ SPACE ESTIMATES FOR THE COULOMBIAN RENORMALIZED ENERGY

Communications in Contemporary Mathematics ◽

10.1142/s0219199712500277 ◽

2012 ◽

Vol 14 (04) ◽

pp. 1250027 ◽

Cited By ~ 3

Author(s):

SYLVIA SERFATY ◽

IAN TICE

Keyword(s):

Lorentz Space ◽

Vortex Lattice ◽

Construction Method ◽

Ginzburg Landau ◽

Landau Model ◽

One Dimensional ◽

Optimal Estimates ◽

Renormalized Energy ◽

Funct Anal ◽

Math Phys

In this paper we obtain optimal estimates for the "currents" associated to point masses in the plane, in terms of the Coulombian renormalized energy of Sandier–Serfaty [From the Ginzburg–Landau model to vortex lattice problems, to appear in Comm. Math. Phys. (2012); One-dimensional log gases and the renormalized energy, in preparation]. To derive the estimates, we use a technique that we introduced in [Lorentz space estimates for the Ginzburg–Landau energy, J. Funct. Anal. 254(3) (2008) 773–825], which couples the "ball construction method" to estimates in the Lorentz space L2,∞.

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Superconductivity: Ginzburg–Landau Theory and Vortex Lattice

Encyclopedia of Condensed Matter Physics ◽

10.1016/b0-12-369401-9/00702-6 ◽

2005 ◽

pp. 98-105

Author(s):

E.H. Brandt

Keyword(s):

Vortex Lattice ◽

Landau Theory ◽

Ginzburg Landau

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Active Tip Fins for Box Wing Aircraft

Recent Patents on Engineering ◽

10.2174/1872212113666190226162215 ◽

2020 ◽

Vol 14 (2) ◽

pp. 268-272

Author(s):

Jemitola O. Paul ◽

Okafor E. Gabriel ◽

Godwin Abbe

Keyword(s):

Drag Reduction ◽

Vortex Lattice ◽

Aircraft Design ◽

Significant Percentage ◽

Induced Drag ◽

Aircraft Performance ◽

Novel Concept ◽

The Ideal

Background: Induced drag accounts for significant percentage of cruise and total aircraft drag. In agreement with Prandtl’s theorem, the ideal arrangement for minimum induced drag is a closed biplane design. Past studies have implemented fixed tip fins for closed biplane design, with the reduction of induced drag associated with fixed tip fin found to be less than optimal. A review of patents related to the box-wing aircraft was carried out. Methods: In an attempt to further reduce the induced drag for box wing aircraft, this study proposed the implementation of Active Tip Fins (ATF) for aircraft design. Athena Vortex Lattice (AVL) software was used to simulate the induced drag associated with AFT in comparison with that of a fixed tip fin. Results: From the result, the ATF design shows a superior induced drag reduction. Conclusion: ATF design is a novel concept that has the potential of improving box wing aircraft performance.

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