Analysis of the one dimensional inhomogeneous Jellium model with the Birkhoff-Hopf Theorem

Raphael Ducatez

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arXiv · 1806.07681

Analysis of the one dimensional inhomogeneous Jellium model with the Birkhoff-Hopf Theorem

Raphael Ducatez

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Abstract

We use the Hilbert distance on cones and the Birkhoff-Hopf Theorem to prove decay of correlation, analyticity of the free energy and a central limit theorem in the one dimensional Jellium model with non constant density charge background, both in the classical and quantum cases.

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BibTeX RIS

Raphael Ducatez. 2018-06-20. Analysis of the one dimensional inhomogeneous Jellium model with the Birkhoff-Hopf Theorem. https://arxiv.org/abs/1806.07681

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