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Using Langevin dynamics, we have investigated the dynamics of vortices in a disordered two dimensional superconductor subjected to a uniform driving current. The results provide direct numerical evidence for a dynamical phase transition…

Condensed Matter · Physics 2009-10-28 Seungoh Ryu , M. Hellerqvist , S. Doniach , A. Kapitulnik , D. Stroud

We examine the formation of vortices during the nonequilibrium relaxation of a high-temperature initial state of an Abelian-Higgs system. We equilibrate the scalar and gauge fields using gauge-invariant Langevin equations and relax the…

Superconductivity · Physics 2011-07-19 G. J. Stephens , Luis M. A. Bettencourt , W. H. Zurek

We model vortex dynamics in a 2-dimensional Bose superfluid using the Thompson-Stamp (TS) equations of motion, which describes both the classical Hall-Vinen-Iordanskii (HVI) dynamical regime and the fully developed quantum regime, and the…

Mesoscale and Nanoscale Physics · Physics 2017-07-03 Timothy Cox , Philip C. E. Stamp

We develop a formalism for the quantization of topologically stable excitations in the 4-dimensional abelian lattice gauge theory. The excitations are global and local (Abrikosov-Nielsen-Olesen) strings and monopoles. The operators of…

High Energy Physics - Lattice · Physics 2009-10-22 A. K. Bukenov , A. V. Pochinsky , M. I. Polikarpov , L. Polley , U. -J. Wiese

Systems of interacting networks of strings such as cosmic strings or quantum vortices can be approximated in a certain regime as an anisotropic fluid with an equation of state depending on a conserved flux. The equations for ideal…

High Energy Physics - Theory · Physics 2015-03-05 Daniel Schubring

We build a minimal model of dissipative vortex dynamics in two spatial dimensions, subject to a kinematic constraint: dipole conservation. The additional conservation law implies anomalously slow decay rates for vortices. We argue that this…

Statistical Mechanics · Physics 2023-10-03 Marvin Qi , Andrew Lucas

We study the impact of fragmentation on the cosmic string loop number density, using an approach inspired by the three-scale model and a Boltzmann equation. We build a new formulation designed to be more amenable to numerical resolution and…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-12 Pierre Auclair

Domain walls formed during a phase transition in a simple field theory model with $\mathbb{Z}_2$ symmetry in a periodic box have been demonstrated to annihilate as fast as causality allows and their area density scales $\propto t^{-1}$. We…

High Energy Physics - Phenomenology · Physics 2025-02-13 Richard A. Battye , Steven J. Cotterill , Eva Sabater Andres , Adam K. Thomasson

Oppositely driven binary particles with repulsive interactions on the square lattice are investigated at the zero-temperature limit. Two classes of steady states related to stuck configurations and lane formations have been constructed in…

Statistical Mechanics · Physics 2025-01-06 Hiroki Ohta

In these lectures we review the constraints on particle physics models arising from cosmic defects. This includes constraints on theories where stable cosmic string loops, or vortons result. These can arise in supersymmetric theories. We…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. C. Davis

Spontaneous particle-pair formation is a fundamental phenomenon in nature. It can, for example, appear when the potential energy between two particles increases with separation, as if they were connected by a tense string. Beyond a critical…

We demonstrate a novel mechanism for the formation of topological defects in a first order phase transition for theories in the presence of small explicit symmetry breaking terms. We carry out numerical simulations of collisions of two…

High Energy Physics - Phenomenology · Physics 2009-10-28 Sanatan Digal , Ajit M. Srivastava

We present two results concerning the spin (or pseudo spin) dynamics of trapped quantum gases in the hydrodynamic regime described by the Leggett equations. First, we apply perturbation theory to extend the ``bounded diffusion'' description…

Statistical Mechanics · Physics 2015-06-25 R. Ragan , J. Baggett

We argue that cosmic strings with high winding numbers generally form in first-order gauge symmetry breaking phase transitions, and we demonstrate this using computer simulations. These strings are heavier than single-winding strings and…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Donaire , A. Rajantie

A connection between superfluidity and gravitation is established for physical stationary gravitational fields. We show that the spinning cosmic string metric describes the gravitational field associated with the single vortex in a…

High Energy Physics - Theory · Physics 2010-12-09 George Chapline , Pawel O. Mazur

A three-dimensional round liquid jet within a low-speed coaxial gas flow is numerically simulated and explained via vortex dynamics ($\lambda_2$ method). The instabilities on the liquid-gas interface reflect well the vortex interactions…

Fluid Dynamics · Physics 2018-08-28 Arash Zandian , William A. Sirignano , Fazle Hussain

In this paper, we develop an exotic fractonic superfluid phase in $d$-dimensional space where subdimensional particles -- their mobility is \emph{partially} restricted -- are condensed. The off-diagonal long range order (ODLRO) is…

Strongly Correlated Electrons · Physics 2021-03-12 Shuai A. Chen , Jian-Keng Yuan , Peng Ye

A generic feature of string compactifications is the presence of many scalar fields, called moduli. Moduli are usually displaced from their post-inflationary minimum during inflation. Their relaxation to the minimum could lead to the…

High Energy Physics - Theory · Physics 2018-02-14 Stefan Antusch , Francesco Cefala , Sven Krippendorf , Francesco Muia , Stefano Orani , Fernando Quevedo

We investigate the behaviour of a model with two oppositely charged scalar fields. In the Bogomol'nyi limit this may be seen as the scalar sector of N=1 supersymmetric QED, and it has been shown that cosmic strings form. We examine…

High Energy Physics - Theory · Physics 2014-11-18 M. Pickles , J. Urrestilla

We present the results of simulation of the chaotic dynamics of quantized vortices in the bulk of superfluid He II. Evolution of vortex lines is calculated on the base of the Biot-Savart law. The dissipative effects appeared from the…

Condensed Matter · Physics 2016-08-31 L. P. Kondaurova , S. K. Nemirovskii , M. V. Nedoboiko