Effervescence in a binary mixture with nonlinear non-reciprocal interactions

Abstract Non-reciprocal interactions between scalar fields that represent the concentrations of two active species are known to break the parity and time-reversal (PT) symmetries of the equilibrium state, as manifested in the emergence of travelling waves. We explore the notion of nonlinear non-reci...

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Main Authors: Suropriya Saha, Ramin Golestanian
Format: Article
Language:English
Published: Nature Portfolio 2025-08-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-025-61728-8
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author Suropriya Saha
Ramin Golestanian
author_facet Suropriya Saha
Ramin Golestanian
author_sort Suropriya Saha
collection DOAJ
description Abstract Non-reciprocal interactions between scalar fields that represent the concentrations of two active species are known to break the parity and time-reversal (PT) symmetries of the equilibrium state, as manifested in the emergence of travelling waves. We explore the notion of nonlinear non-reciprocity and consider a model in which the non-reciprocal interactions can depend on the local values of the scalar fields in such a way that the non-reciprocity can change sign. For generic cases where such couplings exist, we observe the emergence of spatiotemporal chaos in the steady-state. We associate this chaotic behaviour with a local restoration of PT symmetry in fluctuating spatial domains, which leads to the coexistence of oscillating densities and phase-separated droplets that are spontaneously created and annihilated. We uncover that this phenomenon, which we denote as effervescence, can exist as a dynamical steady-state in large parts of the parameter space in two different incarnations, as characterised by the presence or absence of an accompanying travelling wave.
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spelling doaj-art-c85d48af7b8a4e0cad89f1313d2eecde2025-08-20T03:46:17ZengNature PortfolioNature Communications2041-17232025-08-0116111610.1038/s41467-025-61728-8Effervescence in a binary mixture with nonlinear non-reciprocal interactionsSuropriya Saha0Ramin Golestanian1Max Planck Institute for Dynamics and Self-Organization (MPIDS)Max Planck Institute for Dynamics and Self-Organization (MPIDS)Abstract Non-reciprocal interactions between scalar fields that represent the concentrations of two active species are known to break the parity and time-reversal (PT) symmetries of the equilibrium state, as manifested in the emergence of travelling waves. We explore the notion of nonlinear non-reciprocity and consider a model in which the non-reciprocal interactions can depend on the local values of the scalar fields in such a way that the non-reciprocity can change sign. For generic cases where such couplings exist, we observe the emergence of spatiotemporal chaos in the steady-state. We associate this chaotic behaviour with a local restoration of PT symmetry in fluctuating spatial domains, which leads to the coexistence of oscillating densities and phase-separated droplets that are spontaneously created and annihilated. We uncover that this phenomenon, which we denote as effervescence, can exist as a dynamical steady-state in large parts of the parameter space in two different incarnations, as characterised by the presence or absence of an accompanying travelling wave.https://doi.org/10.1038/s41467-025-61728-8
spellingShingle Suropriya Saha
Ramin Golestanian
Effervescence in a binary mixture with nonlinear non-reciprocal interactions
Nature Communications
title Effervescence in a binary mixture with nonlinear non-reciprocal interactions
title_full Effervescence in a binary mixture with nonlinear non-reciprocal interactions
title_fullStr Effervescence in a binary mixture with nonlinear non-reciprocal interactions
title_full_unstemmed Effervescence in a binary mixture with nonlinear non-reciprocal interactions
title_short Effervescence in a binary mixture with nonlinear non-reciprocal interactions
title_sort effervescence in a binary mixture with nonlinear non reciprocal interactions
url https://doi.org/10.1038/s41467-025-61728-8
work_keys_str_mv AT suropriyasaha effervescenceinabinarymixturewithnonlinearnonreciprocalinteractions
AT ramingolestanian effervescenceinabinarymixturewithnonlinearnonreciprocalinteractions