Phase Separation in Active Binary Mixtures With Chemical Reaction
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arXiv
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| Natura: | Preprint |
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2025
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| _version_ | 1866913815737663488 |
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| author | Mondal, Sayantan Das, Prasenjit |
| author_facet | Mondal, Sayantan Das, Prasenjit |
| contents | We study motility-induced phase separation~(MIPS) in active AB binary mixtures undergoing the chemical reaction $A \rightleftharpoons B$. Starting from the evolution equations for the density fields $ρ_i(\vec r, t)$ describing MIPS, we phenomenologically incorporate the effects of the reaction through the reaction rate $Γ$ into the equations. The steady-state domain morphologies depend on $Γ$ and the relative activity of the species, $Δ$. For a sufficiently large $Γ$ and $Δ\ne 1$, the more active component of the mixture forms a droplet morphology. We characterize the morphology of domains by calculating the equal-time correlation function $C(r, t)$ and the structure factor $S(k, t)$, exhibiting scaling violation. The average domain size, $L(t)$, follows a diffusive growth as $L(t)\sim t^{1/3}$ before reaching the steady state domain size, $L_{\rm ss}$. Additionally, $L_{\rm ss}$ shows the scaling relation $L_{\rm ss}\simΓ^{-1/4}$, independent of $Δ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_11806 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Phase Separation in Active Binary Mixtures With Chemical Reaction Mondal, Sayantan Das, Prasenjit Soft Condensed Matter Statistical Mechanics We study motility-induced phase separation~(MIPS) in active AB binary mixtures undergoing the chemical reaction $A \rightleftharpoons B$. Starting from the evolution equations for the density fields $ρ_i(\vec r, t)$ describing MIPS, we phenomenologically incorporate the effects of the reaction through the reaction rate $Γ$ into the equations. The steady-state domain morphologies depend on $Γ$ and the relative activity of the species, $Δ$. For a sufficiently large $Γ$ and $Δ\ne 1$, the more active component of the mixture forms a droplet morphology. We characterize the morphology of domains by calculating the equal-time correlation function $C(r, t)$ and the structure factor $S(k, t)$, exhibiting scaling violation. The average domain size, $L(t)$, follows a diffusive growth as $L(t)\sim t^{1/3}$ before reaching the steady state domain size, $L_{\rm ss}$. Additionally, $L_{\rm ss}$ shows the scaling relation $L_{\rm ss}\simΓ^{-1/4}$, independent of $Δ$. |
| title | Phase Separation in Active Binary Mixtures With Chemical Reaction |
| topic | Soft Condensed Matter Statistical Mechanics |
| url | https://arxiv.org/abs/2504.11806 |