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We characterize the dynamical instability responsible for the breakdown of regular rows and necklaces of quantized vortices that appear at the interface between two superfluids in relative motion. Making use of a generalized point-vortex…

Quantum Gases · Physics 2024-09-12 Matteo Caldara , Andrea Richaud , Massimo Capone , Pietro Massignan

In an appropriate moving coordinate frame, source defects are time-periodic solutions to reaction-diffusion equations that are spatially asymptotic to spatially periodic wave trains whose group velocities point away from the core of the…

Analysis of PDEs · Mathematics 2015-06-16 Margaret Beck , Toan T. Nguyen , Bjorn Sandstede , Kevin Zumbrun

The dynamics of non-equilibrium closed quantum systems and their route to thermalization are of fundamental interest to several fields, from cosmology to particle physics. However, a comprehensive description of non-equilibrium phenomena…

The transition of a fluid to a rigid glass upon cooling is a common route of transformation from liquid to solid that embodies the most poorly understood features of both phases1,2,3. From the liquid perspective, the puzzle is to understand…

Soft Condensed Matter · Physics 2009-01-23 Asaph Widmer-Cooper , Heidi Perry , Peter Harrowell , David R. Reichman

The motion of flexible fibers through structured fluidic environments is ubiquitous in nature and industrial applications. Most often, their dynamics results from the complex interplay between internal elastic stresses, contact forces and…

Fluid Dynamics · Physics 2022-09-23 Ursy Makanga , Mohammadreza Sepahi , Camille Duprat , Blaise Delmotte

We report on a high temperature perturbation expansion study of the superfluid-density spatial correlation function of a Ginzburg-Landau-model superconducting film in a magnetic field. We have derived a closed form which expresses the…

Condensed Matter · Physics 2009-10-22 Jun Hu , A. H. MacDonald

We study a 1D Fermi gas with attractive short range-interactions in a disordered potential by the density matrix renormalization group (DMRG) technique. This setting can be implemented experimentally by using cold atom techniques. We…

Quantum Gases · Physics 2012-02-29 Masaki Tezuka , Antonio M. Garcia-Garcia

This article is concerned with the integration of the time-dependent Ginzburg-Landau (TDGL) equations of superconductivity. Four algorithms, ranging from fully explicit to fully implicit, are presented and evaluated for stability, accuracy,…

Numerical Analysis · Mathematics 2025-10-20 D. O. Gunter , H. G. Kaper , G. K. Leaf

The dynamics of vortices in a type-II superconductor with defects are studied by solving the time-dependent Ginzburg-Landau equations in two and three dimensions. We show that vortex flux tubes are trapped by volume defects up to a critical…

Superconductivity · Physics 2007-05-23 T. Winiecki , C. S. Adams

Topological defects arise in a variety of systems, e.g. vortices in superfluid helium to cosmic strings in the early universe. There is an indirect evidence of neutron superfluid vortices from glitches in pulsars. One also expects that…

High Energy Physics - Phenomenology · Physics 2017-09-25 Arpan Das , Shreyansh S. Dave , Somnath De , Ajit M. Srivastava

We investigate the relaxation dynamics of magnetic vortex lines in type-II superconductors following rapid changes of the external driving current by means of an elastic line model simulated with Langevin molecular dynamics. A system of…

Superconductivity · Physics 2016-08-22 Harshwardhan Chaturvedi , Hiba Assi , Ulrich Dobramysl , Michel Pleimling , Uwe C. Täuber

We investigate the kinetics of normal phase nucleation and flux line condensation in the type-II superconductors by numerical study of the time-dependent Ginzburg-Landau equation. We have shown that under the sufficient transport current…

supr-con · Physics 2009-10-28 I. Aranson , B. Ya. Shapiro , V. Vinokur

Using matter-wave interference, we have investigated thermal phase fluctuations in narrow coplanar, concentric rings of ultracold fermionic superfluids. We found that the correlation length decreases with number density, consistent with…

Quantum Gases · Physics 2024-07-08 Parth Sabharwal , Daniel G. Allman , Pradipta Debnath , Kevin C. Wright

Using molecular dynamics simulations, we study the slow dynamics of supercooled liquids confined in a random matrix of immobile obstacles. We study the dynamical crossover from glass-like to Lorentz-gas-like behavior in terms of the density…

Soft Condensed Matter · Physics 2011-05-30 Kang Kim , Kunimasa Miyazaki , Shinji Saito

We present a field-theory description of ultracold bosonic atoms in presence of a disordered external potential. By means of functional integration techniques, we aim to investigate and review the interplay between disordered energy…

Quantum Gases · Physics 2019-06-18 Alberto Cappellaro , Luca Salasnich

Momentum relaxation can be built into many holographic models without sacrificing homogeneity of the bulk solution. In this paper we study two such models: one in which translational invariance is broken in the dual theory by…

High Energy Physics - Theory · Physics 2015-04-24 Tomas Andrade , Simon A. Gentle

Superconductors can support large dissipation-free electrical currents only if vortex lines are effectively immobilized by material defects. Macroscopic critical currents depend on elemental interactions of vortices with individual pinning…

Superconductivity · Physics 2018-09-12 Roland Willa , Alexei E. Koshelev , Ivan A. Sadovskyy , Andreas Glatz

We quantitatively describe the competition between the thermal fluctuations and the disorder using the Ginzburg -- Landau approach. Flux line lattice in type II superconductors undergoes a transition into three "disordered" phases: vortex…

Superconductivity · Physics 2007-05-23 Dingping Li , Baruch Rosenstein

We study ultra-cold dipolar excitons confined in a 10$\mu$m trap of a double GaAs quantum well. Based on the local density approximation, we unveil for the first time the equation of state of excitons at pure thermodynamic equilibrium. In…

The displacement of a more viscous fluid by a less viscous immiscible fluid in confined geometries is a fundamental problem in multiphase flows. Recent experiments have shown that such fluid-fluid displacement in micro-capillary tubes can…

Fluid Dynamics · Physics 2025-12-01 Sthavishtha R. Bhopalam , Ruben Juanes , Hector Gomez
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