scholarly journals Entrapping of a vortex pair interacting with a fixed point vortex revisited. II. Finite size vortices and the effect of deformation

2018 ◽  
Vol 30 (9) ◽  
pp. 096604 ◽  
Author(s):  
Jean N. Reinaud ◽  
Konstantin V. Koshel ◽  
Eugene A. Ryzhov
Keyword(s):  
Fixed Point ◽  
Point Vortex ◽  
Finite Size ◽  
Vortex Pair

scholarly journals Entrapping of a vortex pair interacting with a fixed point vortex revisited. I. Point vortices

2018 ◽  
Vol 30 (9) ◽  
pp. 096603 ◽  
Author(s):  
Konstantin V. Koshel ◽  
Jean N. Reinaud ◽  
Giorgio Riccardi ◽  
Eugene A. Ryzhov
Keyword(s):  
Fixed Point ◽  
Point Vortex ◽  
Vortex Pair ◽  
Point Vortices

Dynamics of a vortex pair interacting with a fixed point vortex

2013 ◽  
Vol 102 (4) ◽  
pp. 44004 ◽  
Author(s):  
E. A. Ryzhov ◽  
K. V. Koshel
Keyword(s):  
Fixed Point ◽  
Point Vortex ◽  
Vortex Pair

scholarly journals Finite-size behaviour of a critical related observable

Open Physics ◽  
2012 ◽  
Vol 10 (6) ◽  
Author(s):  
Wu Yuanfang ◽  
Chen Lizhu ◽  
Pan Xue ◽  
Shao Ming ◽  
Xiaosong Chen
Keyword(s):  
Fixed Point ◽  
Heavy Ion Collisions ◽  
Finite Size ◽  
System Size ◽  
Heavy Ion ◽  
Relativistic Heavy Ion Collisions ◽  
Charge Fluctuations ◽  
Qcd Critical Point ◽  
Ion Collisions ◽  
Straight Line

AbstractAccounting for the influence of system size in relativistic heavy ion collisions, the finite-size form of a critical related observable is suggested. The fixed-point and straight line methods are proposed in exploring the QCD critical point and phase boundary in relativistic heavy ion collisions. As an application, the finitesize behaviour of the ratios of higher net-proton cumulants, dynamical electric charge fluctuations, and transverse momentum correlations in Au + Au collisions at RHIC are examined.

scholarly journals Some estimates on the space scales of vortex pairs emitted from river mouths

2001 ◽  
Vol 8 (1/2) ◽  
pp. 1-7 ◽  
Author(s):  
V. P. Goncharov ◽  
V. I. Pavlov
Keyword(s):  
Point Vortex ◽  
Vortex Pair ◽  
Vortex Structures ◽  
Shelf Zone ◽  
Vortex Pairs ◽  
Polygonal Boundary ◽  
Dipole Vortex ◽  
Qualitative Classification ◽  
River Mouths

Abstract. Two-dimensional vortex pairs are frequently observed in geophysical conditions, for example, in a shelf zone of the ocean near river mouths. The main aims of the work are to estimate the space scales of such vortex structures, to analyze possible scenarios of vortex pair motion and to give the qualitative classification of their trajectories. We discuss some features of the motion of strong localized vorticity concentrations in a given flow in the presence of boundaries. The analyses are made in the framework of a 2D point vortex mo-del with an open polygonal boundary. Estimations are made for the characteristic parameters of dipole vortex structures emitted from river mouths into the open ocean.

scholarly journals Finite-size scaling for four-dimensional Higgs-Yukawa model near the Gaussian fixed point

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
David Y.-J. Chu ◽  
Karl Jansen ◽  
Bastian Knippschild ◽  
C.-J. David Lin
Keyword(s):  
Fixed Point ◽  
Finite Size ◽  
Finite Size Scaling ◽  
Yukawa Model ◽  
Size Scaling

scholarly journals Finite Size Scaling of the Higgs-Yukawa Model near the Gaussian Fixed Point

2016 ◽  
Author(s):  
Yen-Jen David Chu ◽  
Karl Jansen ◽  
Bastian Knippschild ◽  
C. -J. David Lin ◽  
Attila Nagy
Keyword(s):  
Fixed Point ◽  
Finite Size ◽  
Finite Size Scaling ◽  
Yukawa Model ◽  
Size Scaling

scholarly journals On the motion of three point vortices in a periodic strip

1996 ◽  
Vol 314 ◽  
pp. 1-25 ◽  
Author(s):  
Hassan Aref ◽  
Mark A. Stremler
Keyword(s):  
Fixed Point ◽  
Original Problem ◽  
General Procedure ◽  
Point Vortex ◽  
Solution Space ◽  
Point Vortices ◽  
Complicated Structure ◽  
Integrable Problem ◽  
Periodic Strip ◽  
Shed Light

Motivated by observations of Williamson & Roshko of the wake of an oscillating cylinder with three vortices per cycle, and by the analyses of Rott and Aref of the motion of three vortices with vanishing net circulation on the unbounded plane, the integrable problem of three interacting, periodic vortex rows is solved. The problem is ‘mapped’ onto a problem of advection of a passive particle by a certain set of fixed point vortices. The results of this mapped problem are then re-interpreted in terms of the motion of the vortices in the original problem. A rather complicated structure of the solution space emerges with a surprisingly large number of regimes of motion, some of them somewhat counter-intuitive. Representative cases are analysed in detail, and a general procedure is indicated for all cases. We also trace the bifurcations of the solutions with changing linear momentum of the system. For rational ratios of the vortex circulations all motions are periodic. For irrational ratios this is no longer true. The point vortex results are compared to the aforementioned wake experiments and appear to shed light on the experimental observations. Many additional possibilities for the wake dynamics are suggested by the analysis.

On the Validity of the β-Plane Approximation in the Dynamics and the Chaotic Advection of a Point Vortex Pair Model on a Rotating Sphere

2015 ◽  
Vol 72 (1) ◽  
pp. 415-429 ◽  
Author(s):  
Gábor Drótos ◽  
Tamás Tél
Keyword(s):  
Equations Of Motion ◽  
Qualitative Difference ◽  
Point Vortex ◽  
Vortex Pair ◽  
Chaotic Advection ◽  
Strong Indication ◽  
Rotating Sphere ◽  
Vortex Pairs ◽  
Pair Model ◽  
The One

Abstract The dynamics of modulated point vortex pairs is investigated on a rotating sphere, where modulation is chosen to reflect the conservation of angular momentum (potential vorticity). In this setting the authors point out a qualitative difference between the full spherical dynamics and the one obtained in a β-plane approximation. In particular, dipole trajectories starting at the same location evolve to completely different directions under these two treatments, despite the fact that the deviations from the initial latitude remain small. This is a strong indication for the mathematical inconsistency of the traditional β-plane approximation. At the same time, a consistently linearized set of equations of motion leads to trajectories agreeing with those obtained under the full spherical treatment. The β-plane advection patterns due to chaotic advection in the velocity field of finite-sized vortex pairs are also found to considerably deviate from those of the full spherical treatment, and quantities characterizing transport properties (e.g., the escape rate from a given region) strongly differ.

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