Phase separation in active binary mixtures with chemical reaction.
basic_science · Level V
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- Also identified by DOI 10.1039/d5sm00263j.
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Abstract
We study motility-induced phase separation (MIPS) in active AB binary mixtures undergoing the chemical reaction A ⇌ B. Starting from the evolution equations for the density fields <i>ρ</i><sub><i>i</i></sub>(<i>r⃑</i>,<i>t</i>) describing MIPS, we phenomenologically incorporate the effects of the reaction through the reaction rate <i>Γ</i> into the equations. The steady-state domain morphologies depend on <i>Γ</i> and the relative activity of the species, <i>Δ</i>. For a sufficiently large <i>Γ</i> and <i>Δ</i> ≠ 1, the more active component of the mixture forms a droplet morphology. We characterize the morphology of domains by calculating the equal-time correlation function <i>C</i>(<i>r</i>,<i>t</i>) and the structure factor <i>S</i>(<i>k</i>,<i>t</i>), exhibiting scaling violation. The average domain size, <i>L</i>(<i>t</i>), follows a diffusive growth as <i>L</i>(<i>t</i>) <i>∼ t</i><sup>1/3</sup> before reaching the steady state domain size, <i>L</i><sub>ss</sub>. Additionally, <i>L</i><sub>ss</sub> shows the scaling relation <i>L</i><sub>ss</sub><i>∼ Γ</i><sup>-1/4</sup>, independent of <i>Δ</i>.