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

Raphael Maire

cond-mat.stat-mecharXiv:2609.39299

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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