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We derive the virial theorem appropriate to two-dimensional point vortices at statistical equilibrium in the microcanonical and canonical ensembles. In an unbounded domain, it relates the angular velocity to the angular momentum and the…

Statistical Mechanics · Physics 2013-09-04 Pierre-Henri Chavanis

Vortex dynamics in fermionic superfluids is carefully considered from the microscopic point of view. Finite temperatures, as well as impurities, are explicitly incorporated. To enable readers understand the physical implications,…

Condensed Matter · Physics 2009-10-31 P. Ao , X. -M. Zhu

We carry out an analytical and numerical study of the motion of an isolated vortex in thermal equilibrium, the vortex being defined as the point singularity of a complex scalar field $\psi(\r,t)$ obeying a nonlinear stochastic Schr\"odinger…

Superconductivity · Physics 2009-10-31 R. Sasik , Luis M. A. Bettencourt , Salman Habib

We report the experimental observation of vortex leapfrogging in a two-dimensional fluid of light. By imprinting two vortex-antivortex pairs and tracking their real-time evolution through phase-resolved imaging, we observe a dynamics that…

Quantum Gases · Physics 2025-12-10 Myrann Baker-Rasooli , Nathan du Toit , Nicolas Pavloff , Quentin Glorieux

Based on the theory of the thermodynamic equilibrium in a system of quantum vortices in superfluids in the presence of a counterflow, the influence of a vortex tangle on various thermodynamic phenomena in quantum liquids is studied. Using…

Soft Condensed Matter · Physics 2024-08-02 Sergey K. Nemirovskii

The small-scale statistical properties of velocity circulation in classical homogeneous and isotropic turbulent flows are assessed through a modeling framework that brings together the multiplicative cascade and the structural descriptions…

Fluid Dynamics · Physics 2022-08-17 Luca Moriconi , Rodrigo M. Pereira , Victor J. Valadão

Interacting systems driven far from equilibrium tend to evolve to steady states exhibiting large-scale structure and order. In two-dimensional turbulent flow the seemingly random swirling motion of a fluid can evolve towards persistent…

Vortices are topological defects associated with superfluids and superconductors, which, when mobile, dissipate energy destroying the dissipation-less nature of the superfluid. The nature of this "quantum dissipation" is rooted in the…

High Energy Physics - Theory · Physics 2023-05-10 Wei-Can Yang , Chuan-Yin Xia , Hua-Bi Zeng , Makoto Tsubota , Jan Zaanen

We present a microscopic open quantum systems theory of thermally-damped vortex motion in oblate atomic superfluids that includes previously neglected energy-damping interactions between superfluid and thermal atoms. This mechanism couples…

Quantum Gases · Physics 2023-04-20 Zain Mehdi , Joseph J. Hope , Stuart S. Szigeti , Ashton S. Bradley

Nonthermal fixed points of the dynamics of a dilute degenerate Bose gas far from thermal equilibrium are analyzed in two and three spatial dimensions. Universal power-law distributions, previously found within a nonperturbative…

Quantum Gases · Physics 2012-05-02 Boris Nowak , Jan Schole , Dénes Sexty , Thomas Gasenzer

In two dimensional turbulence, vortex thinning process is one of the attractive mechanism to explain inverse energy cascade in terms of vortex dynamics. By direct numerical simulation to the two-dimensional Navier-Stokes equations with…

Analysis of PDEs · Mathematics 2016-09-02 Tsuyoshi Yoneda

Holographic duality provides a description of strongly coupled quantum systems in terms of weakly coupled gravitational theories in a higher-dimensional space. It is a challenge, however, to quantitatively determine the physical parameters…

High Energy Physics - Theory · Physics 2021-09-08 Paul Wittmer , Christian-Marcel Schmied , Thomas Gasenzer , Carlo Ewerz

Turbulent flows of incompressible liquid in two dimensions are comprised of dense systems of vortices. Such system of vortices can be treated as a fluid and itself could be described in terms of hydrodynamics. We develop the hydrodynamics…

Fluid Dynamics · Physics 2014-09-11 Paul Wiegmann , Alexander G. Abanov

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

Through the Ginzburg-Landau and the Navier-Stokes equations, we study turbulence phenomena for viscous incompressible and compressible fluids by a second order phase transition. For this model, the velocity is defined by the sum of…

Fluid Dynamics · Physics 2019-12-30 Mauro Fabrizio

We numerically model decaying quantum turbulence in two-dimensional disk-shaped Bose-Einstein condensates, and investigate the effects of finite temperature on the turbulent dynamics. We prepare initial states with a range of condensate…

Quantum Gases · Physics 2020-03-18 Andrew J. Groszek , Matthew J. Davis , Tapio P. Simula

Superfluid phase transitions are discussed from a geometrical perspective as envisaged by Onsager. The approach focuses on vortex loops which close to the critical temperature form a fluctuating vortex tangle. As the transition is…

Condensed Matter · Physics 2007-05-23 Adriaan M. J. Schakel

We study the dissipative thermodynamics of vortex lines in layered superconductors within a simple string model in the dilute limit of negligible vortex interactions and compute the specific heat $C_v$ in presence of arbitrary dissipation.…

Condensed Matter · Physics 2009-10-30 Roberto Iengo , Claudio A. Scrucca

The motion of noncircular two-dimensional vortices is shown to depend on a form of coupling between vortex ellipticity and the gradient of fluid density. The approach is based on the perspective that an elliptic vortex can be described as…

Fluid Dynamics · Physics 2021-09-29 Jasmine M. Andersen , Andrew A. Voitiv , Mark E. Siemens , Mark T. Lusk

A vorticity surge event that could be a paradigm for a wide class of bursting events in turbulence is studied to examine how the energy cascade is established and how this event could serve as a new test of LES turbulence models. This…

Chaotic Dynamics · Physics 2009-11-07 Darryl D. Holm , Robert M. Kerr
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