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Decay of Correlation Rate in the Mean Field Limit of Point Vortices Ensembles

We consider the Mean Field limit of Gibbsian ensembles of 2-dimensional 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 2-dimensional Coulomb gas and the Sine-Gordon Euclidean field theory.

preprint2020arXivOpen access
Francesco GrottoMarco Romito
math-phmath.PRmath.MP
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Francesco GrottoMarco Romito

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