Two-field theory for phase coexistence of active Brownian particles
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917014427140096 |
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| author | Perez-Bastías, Pablo Soto, Rodrigo |
| author_facet | Perez-Bastías, Pablo Soto, Rodrigo |
| contents | Active Brownian particles (ABPs) serve as a minimal model of active matter systems. When ABPs are sufficiently persistent, they undergo a liquid-gas phase separation and, in the presence of obstacles, accumulate around them, forming a wetting layer. Here, we perform simulations of ABPs in a quasi-one-dimensional domain in the presence of a wall, studying the dynamics of the polarization field. On the course of time, we observe a transition from a homogeneous (where all particles are aligned) to a heterogeneous (where particles align only at the interface) polarization regime. We propose coarse-grained equations for the density and polarization fields based on microscopic and phenomenological arguments that correctly account for the observed phenomena. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_13327 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two-field theory for phase coexistence of active Brownian particles Perez-Bastías, Pablo Soto, Rodrigo Soft Condensed Matter Active Brownian particles (ABPs) serve as a minimal model of active matter systems. When ABPs are sufficiently persistent, they undergo a liquid-gas phase separation and, in the presence of obstacles, accumulate around them, forming a wetting layer. Here, we perform simulations of ABPs in a quasi-one-dimensional domain in the presence of a wall, studying the dynamics of the polarization field. On the course of time, we observe a transition from a homogeneous (where all particles are aligned) to a heterogeneous (where particles align only at the interface) polarization regime. We propose coarse-grained equations for the density and polarization fields based on microscopic and phenomenological arguments that correctly account for the observed phenomena. |
| title | Two-field theory for phase coexistence of active Brownian particles |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2504.13327 |