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PreprintCC BY 4.0arXiv

Phase Separation in Fractonic Fluids: Coarsening, Interfaces, Nucleation, and Hyperuniformity in and out of Equilibrium

Abstract

We develop a theory of phase separation in fluids conserving higher-order multipole moments of a scalar density, and investigate the resulting coarsening dynamics, nucleation, and interfacial fluctuations. We find that higher-order conservation laws slow the relaxation of all phenomena investigated, whereas nonequilibrium violations of the fluctuation--dissipation theorem suppress density and interfacial fluctuations while hindering nucleation. Simulations support these predictions.

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BibTeX
@misc{maire2026phase,
  title = {{Phase Separation in Fractonic Fluids: Coarsening, Interfaces, Nucleation, and Hyperuniformity in and out of Equilibrium}},
  author = {Raphael Maire},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.39299},
  eprint = {2609.39299},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.39299},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Phase Separation in Fractonic Fluids: Coarsening, Interfaces, Nucleation, and Hyperuniformity in and out of Equilibrium
AU  - Raphael Maire
PY  - 2026
DA  - 2026/09/30
PB  - arXiv
DO  - 10.48550/arxiv.2609.39299
UR  - https://arxiv.org/abs/2609.39299
AB  - We develop a theory of phase separation in fluids conserving higher-order multipole moments of a scalar density, and investigate the resulting coarsening dynamics, nucleation, and interfacial fluctuations. We find that higher-order conservation laws slow the relaxation of all phenomena investigated, whereas nonequilibrium violations of the fluctuation--dissipation theorem suppress density and interfacial fluctuations while hindering nucleation. Simulations support these predictions.
ER  -