Speaker
Description
The fluctuating‑hydrodynamic framework of macroscopic fluctuation theory (MFT) has been remarkably successful in characterizing non‑equilibrium fluctuations, including large deviations, in diffusion‑dominated systems. Related ideas have also been extended to integrable models that exhibit ballistic transport. In this talk, I will discuss how similar principles can be developed for active systems, whose dynamics are ballistic at short times and diffusive at long times. I will illustrate this approach through explicit computations of large deviations in both lattice and off‑lattice active‑matter models, including standard continuum descriptions such as AOUPs, RTPs, and ABPs. A crucial part of the discussion will involve coarse‑graining the Dean–Kawasaki equation for interacting Langevin dynamics to obtain the corresponding quantitative fluctuating‑hydrodynamic description.