Equilibrium fluctuations of the symmetric simple exclusion process (SSEP) on random graphs

Faggionato Alessandra, Sapienza University of Rome

We consider the SSEP with random jump rates on graphs built on point processes in R^d. The graphs are microscopically disordered but macroscopically homogeneous from a statistical viewpoint. We show that, by diffusive rescaling, the equilibrium fluctuations converge to a generalised Ornstein-Uhlenbeck process under suitable assumptions implying Hölder regularity of the resolvent semigroup. We discuss several examples of applications. Joint work with A. Chiarini.

Area: CS17 - Interacting systems in statistical physics I (Alexander Zass)

Keywords: Interacting particle systems, point processes, random graphs, equilibrium fluctuations

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