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PreprintCC BY 4.0arXiv

Active phase separation from concentration-dependent diffusion in chemical networks

  • Giulia Pisegna
  • Ramin Golestanian
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Abstract

Active phase separation in living systems is ubiquitous, yet the microscopic origins of the non-equilibrium terms in active field theories remain largely unknown. Here, starting from stochastic mass-conserving reaction-diffusion dynamics of two interacting chemical species, we perform a systematic slow-mode reduction and derive the complete Active Model B+ field theory, with all phenomenological coefficients expressed in terms of microscopic parameters. We identify concentration-dependent diffusivities and asymmetric inter-species chemotactic couplings as the minimal microscopic ingredients generating the genuinely non-equilibrium coefficient responsible for microphase separation, cluster phases, and arrested coarsening. Our framework recovers the equilibrium limit consistently and is validated by stochastic numerical simulations. These results establish a direct, bottom-up link between the architecture of chemical reaction networks and the universality class of their emergent large-scale dynamics.

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Cite

BibTeXRIS
BibTeX
@misc{pisegna2026active,
  title = {{Active phase separation from concentration-dependent diffusion in chemical networks}},
  author = {Giulia Pisegna and Ramin Golestanian},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.30958},
  eprint = {2610.30958},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.30958},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Active phase separation from concentration-dependent diffusion in chemical networks
AU  - Giulia Pisegna
AU  - Ramin Golestanian
PY  - 2026
DA  - 2026/10/22
PB  - arXiv
DO  - 10.48550/arxiv.2610.30958
UR  - https://arxiv.org/abs/2610.30958
AB  - Active phase separation in living systems is ubiquitous, yet the microscopic origins of the non-equilibrium terms in active field theories remain largely unknown. Here, starting from stochastic mass-conserving reaction-diffusion dynamics of two interacting chemical species, we perform a systematic slow-mode reduction and derive the complete Active Model B+ field theory, with all phenomenological coefficients expressed in terms of microscopic parameters. We identify concentration-dependent diffusivities and asymmetric inter-species chemotactic couplings as the minimal microscopic ingredients generating the genuinely non-equilibrium coefficient responsible for microphase separation, cluster phases, and arrested coarsening. Our framework recovers the equilibrium limit consistently and is validated by stochastic numerical simulations. These results establish a direct, bottom-up link between the architecture of chemical reaction networks and the universality class of their emergent large-scale dynamics.
ER  -