Phase coexistence in the Non-reciprocal Cahn-Hilliard model

2024/02/15 by Suropriya Saha, Saha, Suropriya · 5 citations
Earth and Planetary Sciences · Materials Science · #FOS: Physical sciences #Soft Condensed Matter (cond-mat.soft) #Solidification and crystal growth phenomena #nanoparticles nucleation surface interactions

paper · pdf · doi:10.48550/arxiv.2402.10057

openalex publication_date 2024/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish the criterion for the phase coexistence in a mixture of nonreciprocally interacting scalar densities. For an arbitrary number of components the active pressure exists for a specific class of interactions, and when the free energy receives no contribution from cross couplings between spatial gradients of two different species. In this case, the pressure can be used to determine phase equilibrium, i.e. to construct binodals, and the active mixture can be mapped to a passive system with an effective free energy. For general interfacial tension, the pressure changes discontinuously across a flat interface which assumes the form of an active Laplace pressure in two dimensions.

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