Decay of correlation rate in the mean field limit of point vortices ensembles

DOI10.1142/S0219493720400092zbMath1469.60334arXiv2001.04882OpenAlexW3071894506MaRDI QIDQ5133922

Marco Romito, Francesco Grotto

Publication date: 11 November 2020

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.04882

zbMATH Keywords

sine-Gordonpoint vorticesdecay of correlationsmean field

Mathematics Subject Classification ID

Random fields (60G60) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (3)

Infinitesimal invariance of completely Random Measures for 2D Euler Equations ⋮ Uniform approximation of 2D Navier-Stokes equations with vorticity creation by stochastic interacting particle systems ⋮ Zero-noise dynamics after collapse for three point vortices

Cites Work

• Unnamed Item
• Debye-Hückel theory for charge symmetric Coulomb systems
• On the vortex flow in bounded domains
• A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
• Mathematical theory of incompressible nonviscous fluids
• On the invariant measures for the two-dimensional Euler flow
• A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. II
• Essential self-adjointness of Liouville operator for 2D Euler point vortices
• A central limit theorem for Gibbsian invariant measures of 2D Euler equations
• The point-vortex method for periodic weak solutions of the 2-D Euler equations
• Stochastic Equations in Infinite Dimensions
• Classical and quantum statistical mechanics in one and two dimensions: two-component Yukawa- and Coulomb systems.

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