# Domain Growth Kinetics in Active Binary Mixtures

Source: [Domain Growth Kinetics in Active Binary Mixtures](<https://www.sota2.com/research/paper/68fa481c1e209131ce92d1f3>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T06:39:32.182Z

Authors: Sayantan Mondal, Prasenjit Das

Published: 2024-10-01T11:27:19.000Z

## Abstract

We study motility-induced phase separation (MIPS) in symmetric and asymmetric active binary mixtures. We start with the coarse-grained run-and-tumble bacterial model that provides evolution equations for the density fields $\\rho\_i(\\vec r, t)$. Next, we study the phase separation dynamics by solving the evolution equations using the Euler discretization technique. We characterize the morphology of domains by calculating the equal-time correlation function $C(r, t)$ and the structure factor $S(k, t)$, both of which show dynamical scaling. The form of the scaling functions depends on the mixture composition and the relative activity of the species, $\\Delta$. For $k\\rightarrow\\infty$, $S(k, t)$ follows Porod's law: $S(k, t)\\sim k^{-(d+1)}$ and the average domain size $L(t)$ shows a diffusive growth as $L(t)\\sim t^{1/3}$ for all mixtures.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2410.00594>)

[PDF](<https://arxiv.org/pdf/2410.00594.pdf>)