scholarly journals The effect of fluctuations of the vortex core size on the static potentials evaluated by the thick center vortices model

2012 ◽  
Author(s):  
Sedigheh Deldar ◽  
Shahnoosh Rafibakhsh
Keyword(s):  
2014 ◽  
Vol 75 ◽  
pp. 07002
Author(s):  
P. Belova ◽  
I. Zakharchuk ◽  
A. Sharafeev ◽  
K. B. Traito ◽  
E. Lähderanta

2010 ◽  
Vol 646 ◽  
pp. 471-480 ◽  
Author(s):  
NATHANAËL SCHAEFFER ◽  
STÉPHANE LE DIZÈS

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.


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

2017 ◽  
Vol 836 ◽  
pp. 797-827 ◽  
Author(s):  
Darren G. Crowdy ◽  
Vikas S. Krishnamurthy

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.


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

Author(s):  
Donald Delisi ◽  
George Greene ◽  
Robert Robins ◽  
Dan Vicroy ◽  
Frank Wang

2005 ◽  
Vol 71 (13) ◽  
Author(s):  
V. G. Kogan ◽  
N. V. Zhelezina

Author(s):  
Kota Masuda ◽  
Muneto Nitta

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.


2020 ◽  
Vol 102 (4) ◽  
Author(s):  
Sadashige Matsuo ◽  
Mizuki Tateno ◽  
Yosuke Sato ◽  
Kento Ueda ◽  
Yuusuke Takeshige ◽  
...  

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