Phase separation in ordered polar active fluids: A new Universality class
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913192391737344 |
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| author | Miller, Maxx Toner, John |
| author_facet | Miller, Maxx Toner, John |
| contents | We show that phase separation in ordered polar active fluids belongs to a new universality class. This describes large collections of self-propelled entities (``flocks"), all spontaneously moving in the same direction, in which attractive interactions (which can be caused by, e.g., autochemotaxis) cause phase separation: the system spontaneously separates into a high density band and a low density band, moving parallel to each other, and to the direction of mean flock motion, at different speeds. The upper critical dimension for this transition is $d_c=5$, in contrast to the well-known $d_c=4$ of equilibrium phase separation. We obtain the large-distance, long-time scaling laws of the velocity and density fluctuations, which are characterized by universal critical correlation length and order parameter exponents $ν_\perp$, $ν_\parallel$ and $β$ respectively. We calculate these to $\mathcal{O} (ε)$ in a $d=5-ε$ expansion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_05996 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Phase separation in ordered polar active fluids: A new Universality class Miller, Maxx Toner, John Soft Condensed Matter We show that phase separation in ordered polar active fluids belongs to a new universality class. This describes large collections of self-propelled entities (``flocks"), all spontaneously moving in the same direction, in which attractive interactions (which can be caused by, e.g., autochemotaxis) cause phase separation: the system spontaneously separates into a high density band and a low density band, moving parallel to each other, and to the direction of mean flock motion, at different speeds. The upper critical dimension for this transition is $d_c=5$, in contrast to the well-known $d_c=4$ of equilibrium phase separation. We obtain the large-distance, long-time scaling laws of the velocity and density fluctuations, which are characterized by universal critical correlation length and order parameter exponents $ν_\perp$, $ν_\parallel$ and $β$ respectively. We calculate these to $\mathcal{O} (ε)$ in a $d=5-ε$ expansion. |
| title | Phase separation in ordered polar active fluids: A new Universality class |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2401.05996 |