• Corpus ID: 248798833

Coulomb gas sum rules for vortex-pair fluctuations in 2D superfluids

@inproceedings{Fan2022CoulombGS,
  title={Coulomb gas sum rules for vortex-pair fluctuations in 2D superfluids},
  author={Mingyu Fan and Gary A. Williams and Karla M. Galdamez and C. A. Mcdowell},
  year={2022}
}
Vortex fluctuations above and below the critical Kosterlitz-Thouless (KT) transition temperature are characterized using simulations of the 2D XY model. The net winding number of vortices at a given temperature in a circle of radius R is computed as a function of R . The average squared winding number is found to vary linearly with the perimeter of the circle at all temperatures above and below T KT , and the slope with R displays a sharp peak near the specific heat peak, decreasing then to a… 

References

SHOWING 1-10 OF 37 REFERENCES
Exact solution for vortex dynamics in temperature quenches of two-dimensional superfluids.
TLDR
An exact analytic solution for the dynamics of vortex pairs is obtained and there is no "creation" of vortices whose density increases with the quench rate as predicted by the Kibble-Zurek theory but only monotonic decay of the thermal vortice already present at the initial temperature.
Defect fugacity, spin-wave stiffness and Tc of the 2d planar rotor model
We obtain precise values for the fugacities of vortices in the 2d planar rotor model from Monte Carlo simulations in the sector with no vortices. The bare spin-wave stiffness is also calculated and
Correlations in the Kosterlitz-Thouless phase of the two-dimensional Coulomb gas
The particle and charge correlations of the two-dimensional Coulomb gas are studied in the dielectric phase. A term-by-term analysis of the low-fugacity expansions suggests that the large-distance
The 2 D Classical Coulomb Gas near the Zero-Density Kosterlitz-Thouless Critical Point : Correlations and Critical Line
  • Physics
  • 2007
The 2D classical Coulomb gas undergoes the famous Kosterlitz-Thouless (KT) transition between a high-temperature conducting phase and a low-temperature insulating phase. We present various studies of
Dynamics of superfluid films
A theory of the dynamical properties of a helium film near its superfluid transition is presented. Details are given of previously published results on the linear response of the film to a substrate
Quench dynamics of the 2d XY model
We investigate the out of equilibrium dynamics of the two-dimensional XY model when cooled across the Berezinskii–Kosterlitz–Thouless (BKT) phase transition using different protocols. We focus on the
The two-dimensional Coulomb gas, vortex unbinding, and superfluid-superconducting films
The article reviews the two-dimensional Coulomb gas model and its connection to vortex fluctuations for a two-dimensional superfluid. The neutral and non-neutral versions of the Coulomb gas are
Superfluidity and phase separation in helium films
A vectorial generalization of the Blume-Emery-Griffiths model is proposed to describe superfluidity in films of /sup 3/He-/sup 4/He mixtures, and is solved by an approximate renormalization scheme
Charge Fluctuations in the Two-Dimensional One-Component Plasma
AbstractWe study, via computer simulations, the fluctuations in the net electric charge in a two-dimensional, one component plasma (OCP) with uniform background charge density −eρ in a region Λ
The Kosterlitz-Thouless transition in two-dimensional Abelian spin systems and the Coulomb gas
We rigorously establish the existence of a Kosterlitz-Thouless transition in the rotator, the Villain, the solid-on-solid, and the ℤn models, forn large enough, and in the Coulomb lattice gas, in two
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