4 papers · 1 filter
A Critical Drift-Diffusion Equation: Connections to the Diffusion on
Peter Morfe, Felix Otto, Christian Wagner
In this note, we connect two seemingly unrelated objects: On the one hand is a two-dimensional drift-diffusion process with divergence-free and time-independent drift . The…
The Gaussian free-field as a stream function: continuum version of the scale-by-scale homogenization result
Peter Morfe, Felix Otto, Christian Wagner
This note is about a drift-diffusion process with a time-independent, divergence-free drift , where is a smooth Gaussian field that decorrelates over large scales. In tw…
A Critical Drift-Diffusion Equation: Intermittent Behavior via Geometric Brownian Motion on
Peter S. Morfe, Felix Otto, Christian Wagner
This paper concerns the so-called diffusion in the curl of the 2d Gaussian free field, and its generalization to higher dimensions , building on the scale-by-scale homoge…
The Gaussian free-field as a stream function: asymptotics of effective diffusivity in infra-red cut-off
Georgiana Chatzigeorgiou, Peter Morfe, Felix Otto +1
We analyze the large-time asymptotics of a passive tracer with drift equal to the curl of the Gaussian free field in two dimensions with ultra-violet cut-off at scale unity. We pro…