Hydrodynamic limit for an active-passive exclusion process
Abstract
The collective non-equilibrium dynamics of multi-component mixtures of interacting active (self-propelled) and passive (diffusive) particles have garnered great interest in the physics community. However, the mathematical understanding of these systems remains partial. In this work, we consider a lattice gas model of active-passive particle mixtures with exclusion, where the self-propulsion orientations of active particles undergo Brownian motion on a torus. We derive the hydrodynamic equations governing the particle densities. Due to the presence of two types of particles with continuous-valued orientations, further generalizations of non-gradient decomposition and spectral gap estimation developed for the pure active case are necessitated, which entails novel challenges and new proofs.
Cite
@article{arxiv.2501.15862,
title = {Hydrodynamic limit for an active-passive exclusion process},
author = {Deyue Li},
journal= {arXiv preprint arXiv:2501.15862},
year = {2025}
}
Comments
57 pages