Time: 16:15-17:45

Location: Mondi 2

Speaker: Jonas Ingmanns (Fischer group)
Title: Approximating the density of large particle systems: Mean field limits and Fluctuating Hydrodynamics

Abstract: Particle systems have numerous applications: For example, they can be used to model colloids, diffusion in liquids, microorganisms, opinion and social dynamics, or machine learning.

Usually, the system is given via the individual dynamics of single “particles”. If the number of particles is very large, there are 2 problems: First, it is hard to read off properties on the macroscopic ‘big picture’ level. Second, numerically simulating the exact models is very costly.

These problems can be tackled with mean field theory and fluctuating hydrodynamics (in the case of random dynamics). They provide frameworks to approximate and describe the density dynamics of large particle systems. In this talk, I will introduce these frameworks via the example of a 1st order stochastic system with weak interaction.

Speaker: Asbjørn Lauritsen (Seiringer group)
Title: From atoms to large quantum systems

Abstract: I will introduce the quantum mechanical description of an atom and explain how certain properties well-known from high school physics and chemistry follow. Motivated by this, I will discuss various ways to tackle the much more difficult problem of understanding systems with many particles.