Estimation of spatial and time scales of collective behaviors of active matter through learning hydrodynamic equations from particle dynamics
Abstract
We present a data-driven framework for learning hydrodynamic equations from particle-based simulations of active matter. Our method leverages coarse graining in both space and time to bridge microscopic particle dynamics with macroscopic continuum models. By employing spectral representations and sparse regression, we efficiently estimate partial differential equations that capture collective behaviors such as flocking and phase separation. This approach, validated using hydrodynamic descriptions of the Vicsek model and active Brownian particles, demonstrates the potential of data-driven strategies to uncover the universal features of collective dynamics in active matter systems.
Fields of Study & Subjects
Model Reduction and Neural Networks
Computational Physics and Python Applications
Neural Networks and Applications
Publication details
- Journal / source
- Physical review. E
- Volume
- 113
- Issue
- 2
- Pages
- 025406–025406
- Publication date
- 14 January 2026
- Language
- EN