TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.14.4.080
TI  - Anti-holomorphic modes in vortex lattices
PY  - 2023/04/24
UR  - https://www.scipost.org/SciPostPhys.14.4.080
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 14
IS  - 4
SP  - 080
A1  - Hocking, Brook J.
AU  - Machon, Thomas
AB  - A continuum theory of linearized Helmholtz-Kirchoff point vortex dynamics about a steadily rotating lattice state is developed by two separate methods: firstly by a direct procedure, secondly by taking the long-wavelength limit of Tkachenko's exact solution for a triangular vortex lattice. Solutions to the continuum theory are found, described by arbitrary anti-holomorphic functions, and give power-law localized edge modes. Numerical results for finite lattices show excellent agreement to the theory.
ER  -

@Article{10.21468/SciPostPhys.14.4.080,
	title={{Anti-holomorphic modes in vortex lattices}},
	author={Brook J. Hocking and Thomas Machon},
	journal={SciPost Phys.},
	volume={14},
	pages={080},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.14.4.080},
	url={https://scipost.org/10.21468/SciPostPhys.14.4.080},
}