Abstract
Edwards–Wilkinson fluctuations for a stochastic advection-diffusion model
We consider an advection-diffusion model with a random Gaussian, white-in-time velocity field, in both compressible and incompressible settings.
In the diffusive limit, the solution is known to converge to a Brownian motion with enhanced diffusivity.
Here, we show that the fluctuations have a Gaussian distribution and satisfy an additive stochastic heat equation.
Based on joint work with Sotirios Kotitsas and Dejun Luo.
https://arxiv.org/pdf/2509.07956