Bubble formation in active binary mixture model

Abstract: Phase separation, the spontaneous segregation of density, is a ubiquitous phenomenon observed across diverse physical and biological systems. Within a crowd of self-propelled elements, active phase separation emerges from the interplay of activity and density interactions. A striking feature of active phase separation is the persistent formation of dilute-phase bubbles within the dense phase, which has been explored in theoretical models. However, the fundamental parameters that systematically control bubble formation remain unclear in conventional active particle models. Here, we introduce an active binary mixture model, where active solutes and solvents dynamically exchange their positions, and find that spontaneous bubble formation can be tuned by the asymmetry in their activities. Numerical simulations reveal that moderate solvent activity enhances bubble formation, while larger solvent activity, comparable to solute activity, suppresses it. By employing mean-field theory, which captures essential phase behaviors, we consider the mechanism for the enhancement of bubble formation induced by solvent activity. Beyond these findings, when solute and solvent activities are equal, numerical simulations indicate that critical phenomena of active phase separation under the suppression of bubbles belong to the Ising universality class. Our findings establish activity asymmetry as a key control parameter for active matter phase transitions, offering new insights into universality in nonequilibrium systems.