Einstein-Bose condensation of Onsager vortices
Rahil N. Valani, Andrew J. Groszek, Tapio P. Simula
TL;DR
This paper investigates the statistical mechanics of two-dimensional vortices, introducing a new observable to quantify vortex condensation and proposing an experiment to observe this transition.
Contribution
It introduces the concept of a vortex condensate fraction for Onsager vortices and analyzes the conditions for their condensation in a single vortex species system.
Findings
Vortex condensation occurs due to competition between solid body rotation and potential flow.
A new observable, the condensate fraction, effectively quantifies vortex condensation.
Proposes an experimental setup to observe the vortex condensation transition.
Abstract
We have studied statistical mechanics of a gas of vortices in two dimensions. We introduce a new observable---a condensate fraction of Onsager vortices---to quantify the emergence of the vortex condensate. The condensation of Onsager vortices is most transparently observed in a single vortex species system and occurs due to a competition between solid body rotation (c.f. vortex lattice) and potential flow (c.f. multiple quantum vortex state). We propose an experiment to observe the condensation transition of the vortices in such a single vortex species system.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.