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Out-of-equilibrium behavior of quantum vortices: A comparison of point vortex dynamics and Fokker-Planck evolution

Lookup NU author(s): Richard Tattersall, Professor Andrew Baggaley, Dr Thomas BillamORCiD

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This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).

Abstract

© (2025) (American Physical Society) All rights reserved.An out-of-equilibrium two-dimensional superfluid relaxes towards equilibrium via a process of coarsening, driven by the annihilation of vortices with antivortices. Here we present a comparison of two different numerical models of this process, a dissipative point vortex model and Fokker-Planck evolution, across a wide range of initial configurations and levels of dissipation. We find that our dissipative point vortex model is well approximated by Fokker-Planck evolution only for very low initial energies per vortex, E0/Nv −4, when almost all vortices and antivortices are closely bound into dipoles. We observe that the dynamical critical exponent z in the dissipative point vortex model undergoes a crossover, from a roughly constant value close to 2 for E0/Nv −4, to a value which depends explicitly on the initial conditions for E0/Nv −5.

Publication metadata

Author(s): Tattersall RJ, Baggaley AW, Billam TP

Publication type: Article

Publication status: Published

Journal: Physical Review A

Year: 2025

Volume: 112

Issue: 1

Online publication date: 22/07/2025

Acceptance date: 09/06/2025

Date deposited: 01/12/2025

ISSN (print): 2469-9926

ISSN (electronic): 2469-9934

Publisher: American Physical Society

URL: https://doi.org/10.1103/l8yk-kk5c

DOI: 10.1103/l8yk-kk5c

Data Access Statement: The data that support the findings of this article are openly available

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