Active Model B$^-$ from Mass-Conserving Reaction-Diffusion Systems
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866911688342634496 |
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| author | Toffenetti, Davide Nettuno, Beatrice Weyer, Henrik Frey, Erwin |
| author_facet | Toffenetti, Davide Nettuno, Beatrice Weyer, Henrik Frey, Erwin |
| contents | We show that the late-time dynamics of a minimal three-component mass-conserving reaction--diffusion system reduce to a scalar active field theory, Active Model B$^-$ (AMB$^-$), in which a density-dependent interfacial coefficient $κ(ϕ)$ turns negative at high density. This drives a finite-wavelength instability and stabilises microphase-separated patterns, in contrast to the unbounded coarsening of two-component mass-conserving systems. Unlike Active Model B$^+$, AMB$^-$ retains a chemical potential that remains a state function, inherited from the underlying conservation law, but admits no equation of state for the pressure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_15903 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Active Model B$^-$ from Mass-Conserving Reaction-Diffusion Systems Toffenetti, Davide Nettuno, Beatrice Weyer, Henrik Frey, Erwin Soft Condensed Matter Statistical Mechanics We show that the late-time dynamics of a minimal three-component mass-conserving reaction--diffusion system reduce to a scalar active field theory, Active Model B$^-$ (AMB$^-$), in which a density-dependent interfacial coefficient $κ(ϕ)$ turns negative at high density. This drives a finite-wavelength instability and stabilises microphase-separated patterns, in contrast to the unbounded coarsening of two-component mass-conserving systems. Unlike Active Model B$^+$, AMB$^-$ retains a chemical potential that remains a state function, inherited from the underlying conservation law, but admits no equation of state for the pressure. |
| title | Active Model B$^-$ from Mass-Conserving Reaction-Diffusion Systems |
| topic | Soft Condensed Matter Statistical Mechanics |
| url | https://arxiv.org/abs/2605.15903 |