Existence of boiling bubbles at a chemically permeable interface

Determine whether the boiling-bubble phase exists for the chemically permeable interface with boundary reflection coefficient \(\Lambda^c=0\) by performing fine-grained resolution mapping near the full-collapse phase boundary.

Background

For Λc=0\Lambda^c=0, the simulations did not explicitly resolve a boiling-bubble phase, although the phase is expected to occur as a narrow intermediate regime adjacent to full collapse. The authors therefore identify higher-resolution exploration of the relevant (μr,κ)(\mu_r,\kappa) parameter region as a concrete investigation that could establish whether boiling bubbles are present under chemically permeable boundary conditions.

References

At \Lambdac = 0, the boiling bubble phase is not explicitly observed within the current parameter resolution. Because the boiling bubble typically manifests as a narrow intermediate phase bordering the full collapse regime, fine-grained resolution mapping around these phase boundaries may uncover its presence, forming a target for future investigation.

— Boundary- and Screening-Induced Bubbly Phases in Autophoretic Active Matter  (2609.03991 - Panja et al., 3 Sep 2026) in Section 3, subsection “Mechanism of Phases,” paragraph beginning “Finally, at \(\Lambda^c = 0\)”