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Complex Dynamics in Reaction-Phase Separation Systems

2024/08/06 by Dino Osmanović, Elisa Franco, Osmanovic, Dino +1 · 1 citation
Chemistry · Engineering · Materials Science · #Adaptation and Self-Organizing Systems (nlin.AO) #Crystallization and Solubility Studies #FOS: Physical sciences #Field-Flow Fractionation Techniques #Pattern Formation and Solitons (nlin.PS) #Soft Condensed Matter (cond-mat.soft) #Zeolite Catalysis and Synthesis

paper · pdf · doi:10.48550/arxiv.2408.03458

openalex publication_date 2024/08/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the emergence of sustained spatio-temporal behaviors in reaction-phase separation systems. We focus on binary systems, in which either one or both species can phase separate, and we discuss the stability of the homogeneous state determining the conditions for the emergence of a Hopf-type bifurcation. We then examine the effects of a specific autocatalytic chemical reaction, and computationally determine the full solutions to the partial differential equations. We find that when both species phase separate, sustained pulsed dynamics arise in one dimension. When considered in two dimensions, the system generates persistent, complex dynamic droplets, which do not generally appear if only one of the species can phase separate. We finally discuss the emergence of dynamics with complex features, which can be understood using the framework of a cellular automata.

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