Hyperuniform interfaces in non-equilibrium phase coexistence
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866915639694721024 |
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| author | Maire, Raphaël Galliano, Leonardo Plati, Andrea Berthier, Ludovic |
| author_facet | Maire, Raphaël Galliano, Leonardo Plati, Andrea Berthier, Ludovic |
| contents | We show that long-wavelength interfacial fluctuations are strongly suppressed in non-equilibrium phase coexistence between bulk hyperuniform systems. Using simulations of three distinct microscopic models, we demonstrate that hyperuniform interfaces are much smoother than equilibrium ones, with a universal reduction of height fluctuations at large scale. We derive a non-equilibrium interface equation from the field theory of the bulk order parameter, and predict a reduction in height fluctuations, $S_h(\boldsymbol k)\equiv \langle |h(\boldsymbol k)|^2\rangle\sim |\boldsymbol k|^{-1}$, in stark contrast to equilibrium capillary wave theory where $S_h(\boldsymbol k)\sim |\boldsymbol k|^{-2}$. Our results establish a new universality class for non-equilibrium interfaces, highlighting the fundamental role of suppressed bulk fluctuations in shaping interfacial dynamics far from equilibrium. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_03957 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hyperuniform interfaces in non-equilibrium phase coexistence Maire, Raphaël Galliano, Leonardo Plati, Andrea Berthier, Ludovic Statistical Mechanics Soft Condensed Matter We show that long-wavelength interfacial fluctuations are strongly suppressed in non-equilibrium phase coexistence between bulk hyperuniform systems. Using simulations of three distinct microscopic models, we demonstrate that hyperuniform interfaces are much smoother than equilibrium ones, with a universal reduction of height fluctuations at large scale. We derive a non-equilibrium interface equation from the field theory of the bulk order parameter, and predict a reduction in height fluctuations, $S_h(\boldsymbol k)\equiv \langle |h(\boldsymbol k)|^2\rangle\sim |\boldsymbol k|^{-1}$, in stark contrast to equilibrium capillary wave theory where $S_h(\boldsymbol k)\sim |\boldsymbol k|^{-2}$. Our results establish a new universality class for non-equilibrium interfaces, highlighting the fundamental role of suppressed bulk fluctuations in shaping interfacial dynamics far from equilibrium. |
| title | Hyperuniform interfaces in non-equilibrium phase coexistence |
| topic | Statistical Mechanics Soft Condensed Matter |
| url | https://arxiv.org/abs/2507.03957 |