Effect of the background flow on the motility induced phase separation

Fuente: arXiv
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Auteurs principaux: Prajapati, Soni D., Bhatnagar, Akshay, Gupta, Anupam
Format: Preprint
Publié: 2024
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author Prajapati, Soni D.
Bhatnagar, Akshay
Gupta, Anupam
author_facet Prajapati, Soni D.
Bhatnagar, Akshay
Gupta, Anupam
contents We simulate active Brownian particles (ABPs) with soft-repulsive interactions subjected to a four-roll-mill flow. In the absence of flow, this system exhibits motility-induced phase separation (MIPS). To investigate the interplay between MIPS and flow-induced mixing, we introduce dimensionless parameters: a scaled time, $τ$, and a scaled velocity, ${\rm v}$, characterizing the ratio of ABP to fluid time and velocity scales, respectively. The parameter space defined by $τ$ and ${\rm v}$ reveals three distinct ABP distribution regimes. At low velocities ${\rm v} \ll 1$, flow dominates, leading to a homogeneous mixture. Conversely, at high velocities ${\rm v} \gg 1$, motility prevails, resulting in MIPS. In the intermediate regime (${\rm v} \sim 1$), the system's behavior depends on $τ$. For $τ<1$, a moderately mixed homogeneous phase emerges, while for $τ>1$, a novel phase, termed flow-induced phase separation (FIPS), arises due to the combined effects of flow topology and ABP motility and size. To characterize these phases, we analyze drift velocity, diffusivity, mean-squared displacement, giant number fluctuations, radial distribution function, and cluster-size distribution.
format Preprint
id arxiv_https___arxiv_org_abs_2408_09763
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Effect of the background flow on the motility induced phase separation
Prajapati, Soni D.
Bhatnagar, Akshay
Gupta, Anupam
Soft Condensed Matter
We simulate active Brownian particles (ABPs) with soft-repulsive interactions subjected to a four-roll-mill flow. In the absence of flow, this system exhibits motility-induced phase separation (MIPS). To investigate the interplay between MIPS and flow-induced mixing, we introduce dimensionless parameters: a scaled time, $τ$, and a scaled velocity, ${\rm v}$, characterizing the ratio of ABP to fluid time and velocity scales, respectively. The parameter space defined by $τ$ and ${\rm v}$ reveals three distinct ABP distribution regimes. At low velocities ${\rm v} \ll 1$, flow dominates, leading to a homogeneous mixture. Conversely, at high velocities ${\rm v} \gg 1$, motility prevails, resulting in MIPS. In the intermediate regime (${\rm v} \sim 1$), the system's behavior depends on $τ$. For $τ<1$, a moderately mixed homogeneous phase emerges, while for $τ>1$, a novel phase, termed flow-induced phase separation (FIPS), arises due to the combined effects of flow topology and ABP motility and size. To characterize these phases, we analyze drift velocity, diffusivity, mean-squared displacement, giant number fluctuations, radial distribution function, and cluster-size distribution.
title Effect of the background flow on the motility induced phase separation
topic Soft Condensed Matter
url https://arxiv.org/abs/2408.09763