Hydrodynamic limit for an active-passive exclusion process
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866910801566105600 |
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| author | Li, Deyue |
| author_facet | Li, Deyue |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_15862 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hydrodynamic limit for an active-passive exclusion process Li, Deyue Probability Mathematical Physics 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. |
| title | Hydrodynamic limit for an active-passive exclusion process |
| topic | Probability Mathematical Physics |
| url | https://arxiv.org/abs/2501.15862 |