Decay of correlation rate in the mean field limit of point vortices ensembles-Reference-Cited by-同舟云学术

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

Published:2020-08-18 Issue:06 Volume:20 Page:2040009
ISSN:0219-4937
Container-title:Stochastics and Dynamics
language:en
Short-container-title:Stoch. Dyn.

Author:

Grotto Francesco¹^ORCID,Romito Marco²

Affiliation:

1. Scuola Normale Superiore, Piazza dei Cavalieri, 7, 56126 Pisa, Italia

2. Dipartimento di Matematica, Università di Pisa, Largo Bruno Pontecorvo 5, 56127 Pisa, Italia

Abstract

We consider the Mean Field limit of Gibbsian ensembles of 2-dimensional (2D) point vortices on the torus. It is a classical result that in such limit correlations functions converge to 1, that is, point vortices decorrelate: We compute the rate at which this convergence takes place by means of Gaussian integration techniques, inspired by the correspondence between the 2D Coulomb gas and the Sine-Gordon Euclidean field theory.

Funder

Università di Pisa

Publisher

World Scientific Pub Co Pte Lt

Subject

Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219493720400092

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