scholarly journals Torque theory of anisotropic superconductors with no phenomenological parameter in determining vortex core size

2011 ◽  
Vol 83 (18) ◽  
Author(s):  
Daichi Kubota ◽  
Nobuhiko Hayashi ◽  
Takekazu Ishida
Keyword(s):  
Vortex Core ◽  
Core Size ◽  
Phenomenological Parameter ◽  
Anisotropic Superconductors

scholarly journals Cutoff parameter and vortex core size ind-wave superconductors

2014 ◽  
Vol 75 ◽  
pp. 07002
Author(s):  
P. Belova ◽  
I. Zakharchuk ◽  
A. Sharafeev ◽  
K. B. Traito ◽  
E. Lähderanta
Keyword(s):  
Vortex Core ◽  
Core Size ◽  
Cutoff Parameter

Nonlinear dynamics of the elliptic instability

2010 ◽  
Vol 646 ◽  
pp. 471-480 ◽  
Author(s):  
NATHANAËL SCHAEFFER ◽  
STÉPHANE LE DIZÈS
Keyword(s):  
Nonlinear Dynamics ◽  
Numerical Simulations ◽  
Shear Layer ◽  
Rapid Growth ◽  
Vortex Core ◽  
Nonlinear Evolution ◽  
Core Size ◽  
Layer Formation ◽  
Vortex Loop ◽  
Weakly Nonlinear

In this paper, we analyse by numerical simulations the nonlinear dynamics of the elliptic instability in the configurations of a single strained vortex and a system of two counter-rotating vortices. We show that although a weakly nonlinear regime associated with a limit cycle is possible, the nonlinear evolution far from the instability threshold is, in general, much more catastrophic for the vortex. In both configurations, we put forward some evidence of a universal nonlinear transition involving shear layer formation and vortex loop ejection, leading to a strong alteration and attenuation of the vortex, and a rapid growth of the vortex core size.

Vortex core size in unconventional superconductors

2013 ◽  
Vol 113 (1) ◽  
pp. 013906 ◽  
Author(s):  
I. Zakharchuk ◽  
P. Belova ◽  
M. Safonchik ◽  
K. B. Traito ◽  
E. Lähderanta
Keyword(s):  
Vortex Core ◽  
Core Size ◽  
Unconventional Superconductors

scholarly journals The effect of core size on the speed of compressible hollow vortex streets

2017 ◽  
Vol 836 ◽  
pp. 797-827 ◽  
Author(s):  
Darren G. Crowdy ◽  
Vikas S. Krishnamurthy
Keyword(s):  
Mach Number ◽  
Compressible Flow ◽  
Vortex Core ◽  
Perturbation Expansion ◽  
Core Size ◽  
Flow Equations ◽  
Stable Case ◽  
First Order ◽  
Aspect Ratios ◽  
Vortex Streets

The effect of weak compressibility on the speed of steadily translating staggered vortex streets of hollow vortices in isentropic subsonic flow is studied. A small-Mach-number perturbation expansion about the incompressible solutions for staggered streets of hollow vortices found recently by Crowdy & Green (Phys. Fluids, 2011, vol. 23, 126602) is carried out; the latter solutions provide a desingularization of the classical point vortex streets of von Kármán. The first-order compressible flow correction is calculated. We employ a novel scheme based on a complex variable formulation of the compressible flow equations (the Imai–Lamla method) combined with conformal mapping theory to track the vortex shape in this free boundary problem. The analysis to find the perturbed streamfunction and compressible vortex shapes is greatly facilitated by exploiting a calculus based on use of the Schottky–Klein prime function of a conformally equivalent parametric annulus. It is found that, for a vortex street of specified aspect ratio comprising vortices of specified circulation, the vortex core size is a key determinant of whether compressibility increases or decreases the steady propagation speed (relative to the incompressible street with the same parameters) and that both eventualities are possible. We focus attention on streets with aspect ratios around 0.28, which is close to the neutrally stable case for incompressible flow, and find that a critical vortex core size exists at which compressibility does not affect the speed of the street at first order in the (squared) Mach number. Streets comprising vortices with core size below the critical value speed up due to compressibility; larger vortices slow down.

scholarly journals Effect of vortex-core size on the flux lattice in a mesoscopic superconducting strip

2008 ◽  
Vol 77 (17) ◽  
Author(s):  
I. Kokanović ◽  
A. Helzel ◽  
D. Babić ◽  
C. Sürgers ◽  
C. Strunk
Keyword(s):  
Vortex Core ◽  
Core Size ◽  
Flux Lattice

scholarly journals Aircraft Wake Vortex Core Size Measurements

2003 ◽  
Author(s):  
Donald Delisi ◽  
George Greene ◽  
Robert Robins ◽  
Dan Vicroy ◽  
Frank Wang
Keyword(s):  
Vortex Core ◽  
Wake Vortex ◽  
Core Size ◽  
Aircraft Wake

scholarly journals Field dependence of the vortex core size

2005 ◽  
Vol 71 (13) ◽  
Author(s):  
V. G. Kogan ◽  
N. V. Zhelezina
Keyword(s):  
Field Dependence ◽  
Vortex Core ◽  
Core Size

scholarly journals Half-quantized non-Abelian vortices in neutron 3P2 superfluids inside magnetars

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Kota Masuda ◽  
Muneto Nitta
Keyword(s):  
Magnetic Fields ◽  
Neutron Stars ◽  
Vortex Core ◽  
Homotopy Group ◽  
Vortex Line ◽  
Vortex Lattice ◽  
Spontaneous Magnetization ◽  
Minimum Energy ◽  
Quantized Vortices ◽  
Core Size

Abstract We point out that half-quantized non-Abelian vortices exist as the minimum energy states in rotating neutron $^3P_2$ superfluids in the inner cores of magnetars with magnetic fields greater than $3 \times 10^{15}$ Gauss, while they do not in ordinary neutron stars with smaller magnetic fields. One integer vortex is split into two half-quantized vortices. The number of vortices is about $10^{19}$ and they are separated at about $\mu$m in a vortex lattice for typical parameters, while the vortex core size is about 10–100 fm. They are non-Abelian vortices characterized by a non-Abelian first homotopy group, and consequently when two vortices corresponding to non-commutative elements collide, a rung vortex must be created between them, implying the formation of an entangled vortex network inside the cores of magnetars. We find spontaneous magnetization in the vortex core showing diamagnetism whose typical magnitude is about $10^{8-9}$ Gauss, which is ten times larger than that of integer vortices, when external magnetic fields are present along the vortex line.

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