ABSTRACT

Macroscopic Fluctuation Theory (MFT) is a cornerstone of modern nonequilibrium statistical mechanics. While extensively developed over the past 25 years for boundary-driven diffusive systems, it has so far been limited to interacting particle systems with short-range interactions. In this talk, we propose a generalization of MFT to microscopic models featuring long-range interactions, whose macroscopic behavior is described by a fractional diffusion equation. We focus on a specific class of such models—Ginzburg-Landau dynamics—for which we provide a rigorous mathematical proof of our theoretical claims.