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In two-dimensional (2D) inviscid incompressible flow, low background vorticity distribution accelerates intense vortices (clumps) to merge each other and to array in the symmetric pattern which is called ``vortex crystals''; they are…

Statistical Mechanics · Physics 2009-11-10 Takeshi Yoshida , Mitsusada M. Sano

We study the structure of symmetric vortices in a Ginzburg-Landau model based on S. C. Zhang's SO(5) theory of high temperature superconductivity and antiferromagnetism. We consider both a full Ginzburg-Landau theory (with Ginzburg-Landau…

Analysis of PDEs · Mathematics 2007-05-23 S. Alama , L. Bronsard , T. Giorgi

In this paper, we employ Lagrangian coherent structures (LCSs) theory for the three dimensional vortex eduction and investigate the effect of large-scale vortical structures on the turbulent/non-turbulent interface (TNTI) and entrainment of…

Fluid Dynamics · Physics 2019-10-02 M. M. Neamtu-Halic , D. Krug , G. Haller , M. Holzner

We study the stability and structure of vortices emerging in two-dimensional quantum dots in high magnetic fields. Our results obtained with exact diagonalization and density-functional calculations show that vortex structures can be found…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 H. Saarikoski , S. M. Reimann , E. Rasanen , A. Harju , M. Puska

In the context of the mean-field exciton-polariton (EP) theory with balanced loss and pump, we investigate the formation of lattice structures built of individual vortex-antivortex (VAV) bound states under the action of the two-dimensional…

Optics · Physics 2025-04-11 S. Sanjay , S. Saravana Veni , Boris A. Malomed

We propose a method to visualize vortex cores based on manipulation of the pressure field produced by isolated vortices in incompressible flow. Under ideal conditions the function $D=2|\nabla P|/\nabla^2 P$ yields an approximate distance to…

Fluid Dynamics · Physics 2019-10-17 Jiajia Li , Pablo M. Carrica

Vortex phenomena are ubiquitous in nature, from vortices of quantum particles and living cells [1-7], to whirlpools, tornados, and spiral galaxies. Yet, effective control of vortex transport from one place to another at any scale has thus…

We argue that the ``vortex-finding'' property of maximal center gauge, i.e. the ability of this gauge to locate center vortices inserted by hand on any given lattice, is the key to its success in extracting the vortex content of thermalized…

High Energy Physics - Lattice · Physics 2009-10-31 M. Faber , J. Greensite , S. Olejnik , D. Yamada

The XY-plaquette model is the most straightforward lattice realization of a broad class of fractonic field theories that host quasiparticles with restricted mobility. The plaquette interaction appears naturally as a ring-exchange term in…

High Energy Physics - Lattice · Physics 2025-06-23 A. M. Begun , M. N. Chernodub , V. A. Goy , A. V. Molochkov

Vortex, the winding of a vector field in two dimensions, has its core the field singularity and its topological charge defined by the quantized winding angle of the vector field. Vortices are one of the most fundamental topological…

Optics · Physics 2018-05-08 Yiwen Zhang , Ang Chen , Wenzhe Liu , Chia Wei Hsu , Fang Guan , Xiaohan Liu , Lei Shi , Ling Lu , Jian Zi

We present several new results which pertain to the successes of center projection in maximal center gauge (MCG). In particular, we show why any center vortex, inserted "by hand" into a thermalized lattice configuration, will be among the…

High Energy Physics - Lattice · Physics 2015-06-25 M. Faber , J. Greensite , S. Olejnik , D. Yamada

We investigate the phase structure of pure compact U(1) lattice gauge theory in 4 dimensions with the Wilson action supplemented by a monopole term. To overcome the suppression of transitions between the phases in the simulations we make…

High Energy Physics - Lattice · Physics 2009-10-22 Werner Kerler , Claudio Rebbi , Andreas Weber

In the Ginzburg-Landau limit, a possible texture without singular cores in a rotating neutron spin-triplet superfluid is studied. It is constructed the lattice of non-singular vortices with a vorticity diffusely distributed over the entire…

High Energy Astrophysical Phenomena · Physics 2020-09-17 Lev B. Leinson

Recent lattice calculations performed at zero temperature and in the maximal center gauge indicate that quark confinement can be understood in this gauge as due to fluctuations in the number of magnetic vortices piercing a given Wilson…

High Energy Physics - Lattice · Physics 2009-10-31 K. Langfeld , O. Tennert , M. Engelhardt , H. Reinhardt

We analyze the creation of near-zero modes from would-be zero modes of various topological charge contributions from classical center vortices in SU(2) lattice gauge theory. We show that colorful spherical vortex and instanton…

High Energy Physics - Lattice · Physics 2015-09-02 Roman Höllwieser , Manfried Faber , Thomas Schweigler , Urs M. Heller

We investigate charge and spin currents that may appear in some materials, considering the possible couplings and the symmetries of a field-theoretical model presented here. We inspect these possible currents in (1+2) dimensions by adopting…

High Energy Physics - Theory · Physics 2020-01-06 Cristine N. Ferreira , J. P. S. Alves e Silva , J. A. Helayel Neto , N. Panza

For SU(2) lattice gauge theory, a new SO(3) cooling procedure is proposed which removes the SU(2)/Z(2) coset fields from the lattice configurations and reveals a Z(2) vortex vacuum texture different from the P-vortex content obtained in the…

High Energy Physics - Lattice · Physics 2016-09-01 K. Langfeld , E. -M. Ilgenfritz , H. Reinhardt

Formation and evolution of topological defects in course of non-equilibrium symmetry breaking phase transitions is of wide interest in many areas of physics, from cosmology through condensed matter to low temperature physics. Its study in…

High Energy Physics - Theory · Physics 2021-03-17 Hua-Bi Zeng , Chuan-Yin Xia , Hai-Qing Zhang

The problem of the vortex structure in the lattice modele of superconductors has been reduced to the nonlinear map problem characteristic for the fractal theory.

Superconductivity · Physics 2007-05-23 Serguei Ktitorov

Using the relativistic complex scalar field model with a repulsive self-interaction, we discuss the ground state structure of charged pion condensation under the coexistence of parallel rotation and magnetic field. Our previous study found…

High Energy Physics - Phenomenology · Physics 2024-02-08 Tao Guo , Yanmei Xiao
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