Gibbs equilibrium fluctuations of point vortex dynamics
We consider a system of N point vortices in a bounded domain with null total circulation, whose statistics are given by the canonical Gibbs ensemble at inverse temperature β≥0. We prove that the space-time fluctuation field around the (constant) mean field limit satisfies when N→∞ a generalized version of two-dimensional Euler dynamics preserving the Gaussian energy-enstrophy ensemble.
Authors
- Marco Romito (ORCID: https://orcid.org/0000-0001-9402-6014)
- Francesco Grotto (ORCID: https://orcid.org/0000-0002-8689-4863)
- Eliseo Luongo (ORCID: https://orcid.org/0000-0003-1981-340X)
Institutions
- University of Pisa (IT)
- Scuola Normale Superiore (IT)
Publication Details
- Journal
- The Annals of Applied Probability
- Published
- 2024-12-01
- DOI
- https://doi.org/10.1214/24-aap2095
- Citations
- 2
- Primary Topic
- Advanced Thermodynamics and Statistical Mechanics
- Type
- article
- Field-Weighted Citation Impact
- 0.56