Vectorial active matter on the lattice: polar condensates and nematic filaments
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arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| author | Nava-Sedeño, Josué Manik Hatzikirou, Haralampos Voß-Böhme, Anja Brusch, Lutz Deutsch, Andreas Peruani, Fernando |
| author_facet | Nava-Sedeño, Josué Manik Hatzikirou, Haralampos Voß-Böhme, Anja Brusch, Lutz Deutsch, Andreas Peruani, Fernando |
| contents | We introduce a novel lattice-gas cellular automaton (LGCA) for compressible vectorial active matter with polar and nematic velocity alignment. Interactions are, by construction, zero-range. For polar alignment, we show the system undergoes a phase transition that promotes aggregation with strong resemblance to the classic zero-range process. We find that above a critical point, the states of a macroscopic fraction of the particles in the system coalesce into the same state, sharing the same position and momentum (polar condensate). For nematic alignment, the system also exhibits condensation, but there exist fundamental differences: a macroscopic fraction of the particles in the system collapses into a filament, where particles possess only two possible momenta. Furthermore, we derive hydrodynamic equations for the active LGCA model to understand the phase transitions and condensation that undergoes the system. We also show that generically the discrete lattice symmetries -- e.g. of a square or hexagonal lattice -- affect drastically the emergent large-scale properties of on-lattice active systems. The study puts in evidence that aligning active matter on the lattice displays new behavior, including phase transitions to states that share similarities to condensation models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_04450 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Vectorial active matter on the lattice: polar condensates and nematic filaments Nava-Sedeño, Josué Manik Hatzikirou, Haralampos Voß-Böhme, Anja Brusch, Lutz Deutsch, Andreas Peruani, Fernando Soft Condensed Matter Statistical Mechanics Cellular Automata and Lattice Gases Biological Physics 82C22 We introduce a novel lattice-gas cellular automaton (LGCA) for compressible vectorial active matter with polar and nematic velocity alignment. Interactions are, by construction, zero-range. For polar alignment, we show the system undergoes a phase transition that promotes aggregation with strong resemblance to the classic zero-range process. We find that above a critical point, the states of a macroscopic fraction of the particles in the system coalesce into the same state, sharing the same position and momentum (polar condensate). For nematic alignment, the system also exhibits condensation, but there exist fundamental differences: a macroscopic fraction of the particles in the system collapses into a filament, where particles possess only two possible momenta. Furthermore, we derive hydrodynamic equations for the active LGCA model to understand the phase transitions and condensation that undergoes the system. We also show that generically the discrete lattice symmetries -- e.g. of a square or hexagonal lattice -- affect drastically the emergent large-scale properties of on-lattice active systems. The study puts in evidence that aligning active matter on the lattice displays new behavior, including phase transitions to states that share similarities to condensation models. |
| title | Vectorial active matter on the lattice: polar condensates and nematic filaments |
| topic | Soft Condensed Matter Statistical Mechanics Cellular Automata and Lattice Gases Biological Physics 82C22 |
| url | https://arxiv.org/abs/2402.04450 |