Wednesday, December 13, 2023 - 15:15 in V3-201 + Zoom
An Additive Noise Approximation to Keller–Segel–Dean– Kawasaki Dynamics
A talk in the Bielefeld Stochastic Afternoon series by
Adrian Martini
| Abstract: |
The theory of fluctuating hydrodynamics aims to describe density fluctuations of
interacting particle systems as Dean–Kawasaki stochastic partial differential
equations. However, Dean–Kawasaki equations are ill-posed and the focus has
shifted towards finding well-posed approximations that retain the statistical
properties of the particle system. In this talk, we consider the fluctuating
hydrodynamics of a system in which particles are attracted to one another through
a Coulomb force (Keller–Segel dynamics). We propose an additive-noise
approximation and show that it retains the same law of large numbers and central
limit theorem as (conjectured for) the particle system. We further deduce a large
deviation principle and show that the approximation error lies in the skeleton
equation that drives the rate function. Based on joint work with Avi Mayorcas.
Within the CRC this talk is associated to the project(s): B8 |
Back
