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It has been observed empirically that two dimensional vortices tend to cluster forming a giant vortex. To account for this observation Onsager introduced a concept of negative absolute temperature in equilibrium statistical mechanics. In…

Statistical Mechanics · Physics 2018-07-17 Renato Pakter , Yan Levin

We consider the classical dynamics of a particle in a $d=2,3$-dimensional space-periodic potential under the influence of time-periodic external fields with zero mean. We perform a general time-space symmetry analysis and identify…

Statistical Mechanics · Physics 2009-07-02 S. Denisov , Y. Zolotaryuk , S. Flach , O. Yevtushenko

We discuss a dynamical theory for nematic liquid crystals describing the stage of evolution in which the hydrodynamic fluid motion has already equilibrated and the subsequent evolution proceeds via diffusive motion of the orientational…

Mathematical Physics · Physics 2014-03-04 Ibrahim Fatkullin , Valeriy Slastikov

We investigated vortex dynamics in a single-crystal sample of type-II superconductor NbSe$_{2}$ using scanning tunneling microscopy at 4.2 K. The decay of the magnetic field at a few nT/s in our superconducting magnet induced the…

Superconductivity · Physics 2011-09-01 Jonghee Lee , Hui Wang , Michael Dreyer , Helmuth Berger , Barry I. Barker

We present results from extensive simulations of driven vortex lattices interacting with periodic arrays of pinning sites. Changing an applied driving force produces a rich variety of novel dynamical plastic flow phases which are very…

Superconductivity · Physics 2009-10-30 C. Reichhardt , C. J. Olson , Franco Nori

We examine pinning and dynamics of Abrikosov vortices interacting with pinning centers placed in a moir\'e pattern for varied moir\'e lattice angles. We find a series of magic angles at which the critical current shows a pronounced dip…

Superconductivity · Physics 2024-04-23 Wenzhao Li , C. J. O. Reichhardt , B. Jankó , C. Reichhardt

The problem of vortex pair motion in two-dimensional plane radial flow is solved. Under certain conditions for flow parameters, the vortex pair can reverse its motion within a bounded region. The vortex-pair translational velocity decreases…

Fluid Dynamics · Physics 2009-11-13 Elena Yu. Bannikova , Victor M. Kontorovich , Gregory M. Reznik

At the very heart of turbulent fluid flows are many interacting vortices that produce a chaotic and seemingly unpredictable velocity field. Gaining new insight into the complex motion of vortices and how they can lead to topological changes…

Fluid Dynamics · Physics 2022-09-01 Karl Lydon , Sergey V. Nazarenko , Jason Laurie

We perform numerical simulations of vortex motion in a trapped Bose-Einstein condensate by solving the two-dimensional Gross-Pitaevskii Equation in the presence of a simple phenomenological model of interaction between the condensate and…

Statistical Mechanics · Physics 2009-11-13 E. J. M. Madarassy , C. F. Barenghi

We investigate numerically the dynamically generated plastic deformations of a 3D vortex lattice (VL) driven through a disorder potential with isolated, strong pinning centers (point-like or extended along the field direction). We find that…

supr-con · Physics 2009-10-30 A. Schönenberger , A. Larkin , E. Heeb , V. Geshkenbein , G. Blatter

We study the dynamics of a particle moving in a square two-dimensional Lorentz lattice-gas. The underlying lattice-gas is occupied by two kinds of rotators, "right-rotator (R)" and "left-rotator (L)" and some of the sites are empty…

Soft Condensed Matter · Physics 2021-01-06 Pranay Bimal Sampat , Sameer Kumar , Shradha Mishra

We propose a description of the vortex dynamics in YBCO films from the critical to the normal states. This description supposes that the vortex motion is thermally activated along the twin boundaries of the films. The discontinuity observed…

Superconductivity · Physics 2007-12-21 P. Bernstein , J. F. Hamet , M. T. Gonzalez , M. Ruibal Acuna

The motion of a vortex-(anti)vortex pair is studied numerically in the framework of a dynamical Ginzburg-Landau model, relevant to the description of a superconductor or of an idealized bosonic plasma. It is shown that up to a fine…

High Energy Physics - Theory · Physics 2009-10-30 G. N. Stratopoulos , T. N. Tomaras

Patterned irradiation of cuprate superconductors with columnar defects allows a new generation of experiments which can probe the properties of vortex liquids by forcing them to flow in confined geometries. Such experiments can be used to…

Superconductivity · Physics 2009-10-31 M. Cristina Marchetti , David R. Nelson

We present a hydrodynamic model for a thin spherical shell of active nematic liquid crystal with an arbitrary configuration of defects. The active flows generated by defects in the director lead to the formation of stable vortices,…

Soft Condensed Matter · Physics 2017-11-13 Diana Khoromskaia , Gareth P. Alexander

Vortices are commonly observed in the context of classical hydrodynamics: from whirlpools after stirring the coffee in a cup to a violent atmospheric phenomenon such as a tornado, all classical vortices are characterized by an arbitrary…

Quantum Gases · Physics 2017-04-06 G. Bighin , L. Salasnich

The topological properties of many materials are central to their behavior, with the dynamics of topological defects being particularly important to intrinsically out-of-equilibrium, active materials. In this paper, local manipulation of…

Soft Condensed Matter · Physics 2019-11-01 David P. Rivas , Tyler N. Shendruk , Robert R. Henry , Daniel H. Reich , Robert L. Leheny

We use numerical simulations to examine vortex states and dynamics in periodic funnel geometries where a drive is applied in the easy flow direction. We show that this system exhibits a number of different commensurability effects when the…

Superconductivity · Physics 2011-02-10 C. J. Olson Reichhardt , C. Reichhardt

Helmholtz theorem states that, in ideal fluid, vortex lines move with the fluid. Another Helmholtz theorem adds that strength of a vortex tube is constant along the tube. The lines may be regarded as integral surfaces of a 1-dimensional…

Mathematical Physics · Physics 2018-01-16 Marian Fecko

We present a combined experimental and theoretical investigation of the formation and decay kinetics of vortices in two dimensional, compressible quantum turbulence. We follow the temporal evolution of a quantum fluid of exciton polaritons,…

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