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arXiv · 2507.03957

Hyperuniform interfaces in non-equilibrium phase coexistence

Raphaël Maire·Leonardo Galliano·Andrea Plati·Ludovic Berthier
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Abstract

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.

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Raphaël Maire, Leonardo Galliano, Andrea Plati, Ludovic Berthier. 2025-07-05. Hyperuniform interfaces in non-equilibrium phase coexistence. https://doi.org/10.1103/4b8v-4sbh

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