On the correlations of some microscopic random systems

P. Gonçalves; B. Salvador

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arXiv · 2410.17926

On the correlations of some microscopic random systems

P. Gonçalves·B. Salvador

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Abstract

We investigate the two-points correlation function for several boundary-driven interacting particle systems. Our goal is to show that the time evolution of that correlation function is solution to a partial differential equation that can be written in terms of the generator of a two-dimensional random walk, whose jump rates are model dependent. From this, we deduce an asymptotic independence which is shared by many models.

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P. Gonçalves, B. Salvador. 2024-10-23. On the correlations of some microscopic random systems. https://arxiv.org/abs/2410.17926

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