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A potential problem with adiabatic switching in perturbation theory is that divergent terms appear in the series solution. An example of this was presented by C. Brouder et al [4] for a simple 2 state system where the evolution of system in…

Quantum Physics · Physics 2016-08-31 Dan Solomon

We investigate the superfluid properties of two-dimensional driven Bose liquids, such as polariton condensates, using their long-wavelength description in terms of a compact Kardar-Parisi-Zhang (KPZ) equation for the phase dynamics. We…

Quantum Gases · Physics 2016-09-29 G. Wachtel , L. M. Sieberer , S. Diehl , E. Altman

We rigorously construct the first steady traveling wave solutions of the 2D incompressible Euler equation that take the form of a contiguous vortex-patch dipole, which can be viewed as the vortex-patch counterpart of the well-known…

Analysis of PDEs · Mathematics 2025-07-21 De Huang , Jiajun Tong

The mixed phase of layered superconductors with no magnetic screening is studied through a partial duality analysis of the corresponding XY model in the presence of random pinning centers. Sufficiently weak Josephson coupling between…

Superconductivity · Physics 2009-11-10 J. P. Rodriguez

This paper has been withdrawn and replaced by a new version entitled "Vortex quantum dynamics of two dimensional lattice bosons" By Netanel H. Lindner, Assa Auerbach, Daniel P. Arovas, posted in arXiv:0810.2604. The calculations and results…

Superconductivity · Physics 2008-12-02 Netanel Lindner , Assa Auerbach , Daniel P. Arovas

We investigate the stability of a one-parameter family of periodic solutions of the four-vortex problem known as `leapfrogging' orbits. These solutions, which consist of two pairs of identical yet oppositely-signed vortices, were known to…

Chaotic Dynamics · Physics 2020-01-01 Brandon M. Behring , Roy H. Goodman

This article submitted to the APS-DFD 2008 conference, accompanies the fluid dynamics video depicting the various orientational dynamics of a hinged cylinder suspended in a flow tank. The different behaviors displayed by the cylinder range…

Fluid Dynamics · Physics 2008-10-14 Roberto Camassa , Bong Jae Chung , Greg Gipson , Richard M. McLaughlin , Ashwin Vaidya

Supersolids are states of matter that spontaneously break two continuous symmetries: translational invariance due to the appearance of a crystal structure and phase invariance due to phase locking of single-particle wave functions,…

The mixed state of type II superconductors has magnetic flux penetrating the sample in the form of vortices, with each vortex carrying an identical quantum of flux. These vortices generally form a triangular lattice under weak mutually…

Superconductivity · Physics 2007-05-23 P. Chaddah , S. B. Roy

Comment on the Letter by M. Franz and Z. Tesanovic, Phys. Rev. Lett. v.87, p.257003 (2001).

Strongly Correlated Electrons · Physics 2009-11-10 D. V. Khveshchenko

We consider a two-dimensional (2D) generalization of a recently proposed model [Phys. Rev. E 88, 032905 (2013)], which gives rise to bright discrete solitons supported by the defocusing nonlinearity whose local strength grows from the…

Pattern Formation and Solitons · Physics 2015-06-23 P. G. Kevrekidis , B. A. Malomed , A. Saxena , D. J. Frantzeskakis , A. R. Bishop

In this paper spectral methods are applied to investigate the hydrodynamic instability of swirling flow with application to Francis hydraulic turbine. Spectral methods imply representing the problem solution as truncated series of smooth…

Dynamical Systems · Mathematics 2012-03-27 Diana Alina Bistrian

Inspired by the observations of a remarkably stable biaxial nematic phase [E.v.d. Pol et al., Phys. Rev. Lett. 103, 258301 (2009)], we investigate the effect of size polydispersity on the phase behavior of a suspension of boardlike…

Soft Condensed Matter · Physics 2015-05-28 S. Belli , A. Patti , M. Dijkstra , R. van Roij

Theories, simulations and experiments on vortex dynamics in quasi-two-dimensional magnetic materials are reviewed. These materials can be modelled by the classical two-dimensional anisotropic Heisenberg model with XY (easy-plane) symmetry.…

Condensed Matter · Physics 2007-05-23 F. G. Mertens , A. R. Bishop

We show that a two-dimensional hydrodynamics model provides a physical explanation for the splitting of higher-charge optical vortices under elliptical deformations. The model is applicable to laser light and quantum fluids alike. The study…

We formulate a variational (Hartree like) description of flux line liquids which improves on the theory we developed in an earlier paper [A.M. Ettouhami, Phys. Rev. B 65, 134504 (2002)]. We derive, in particular, how the massive term…

Superconductivity · Physics 2009-11-10 A. M. Ettouhami

A description of a dislocation-free elastic glass phase in terms of domain walls is developed and used as the basis of a renormalization group analysis of the energetics of dislocation loops added to the system. It is found that even after…

Superconductivity · Physics 2009-10-28 Daniel S. Fisher

We construct infinitely many admissible weak solutions to the 2D incompressible Euler equations for vortex sheet initial data. Our initial datum has vorticity concentrated on a simple closed curve in a suitable H\"older space and the…

Analysis of PDEs · Mathematics 2020-05-19 Francisco Mengual , László Székelyhidi

The study of superfluid and Berezinskii-Kosterlitz-Thouless phases in exciton-polaritons requires an understanding of vortex dynamics in a dissipative unconfined condensate. In this article we study the motion of dynamic vortex-antivortex…

Quantum Gases · Physics 2015-06-11 M. D. Fraser , G. Roumpos , Y. Yamamoto

We construct and analyse two-dimensional, current-carrying ring solutions, known as kinky vortons, in the $\mathbb{Z}_2$-symmetric global two-Higgs-doublet model (2HDM). We demonstrate the existence of multiple dynamically stable…

High Energy Physics - Phenomenology · Physics 2026-03-24 Richard A. Battye , Steven J. Cotterill , Adam K. Thomasson