3 papers
math.DS2026
Energetic characterisation of transient clustering dynamics in aggregation-diffusion systems
Nathalie Wehlitz, Richard Scherzer, Carsten Hartmann +1
We investigate transient clustering dynamics in nonlocal aggregation-diffusion systems from an energetic perspective. Starting from a stochastic interacting particle system, we stu…
cond-mat.stat-mech2026
Data-driven Reduction of Transfer Operators for Particle Clustering Dynamics
Nathalie Wehlitz, Grigorios A. Pavliotis, Christof Schütte +1
We develop an operator-based framework to coarse-grain interacting particle systems that exhibit clustering dynamics. Starting from the particle-based transfer operator, we first c…
q-bio.QM2025
Approximating particle-based clustering dynamics by stochastic PDEs
Nathalie Wehlitz, Mohsen Sadeghi, Alberto Montefusco +3
This work proposes stochastic partial differential equations (SPDEs) as a practical tool to replicate clustering effects of more detailed particle-based dynamics. Inspired by membr…