Phase Separation Kinetics in a Polar Active Field Model

Fuente: arXiv
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Main Authors: Semeraro, Massimiliano, Cugliandolo, Leticia F., Gonnella, Giuseppe, Tiribocchi, Adriano
Format: Preprint
Published: 2025
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author Semeraro, Massimiliano
Cugliandolo, Leticia F.
Gonnella, Giuseppe
Tiribocchi, Adriano
author_facet Semeraro, Massimiliano
Cugliandolo, Leticia F.
Gonnella, Giuseppe
Tiribocchi, Adriano
contents A milestone of phase separation kinetics is the emergence of universal power laws $\sim t^{1/z}$ governing the domain growth evolution. We investigate a phase-separating polar active model comprising a scalar density field with an advective coupling to a polarization field. Our analysis reveals a novel $\sim t^{0.6}$ regime, which agrees well with the accelerated growth recently observed in simulations of polar active particles. We provide analytical arguments to explain how advection facilitates the creation of topological defects and compresses the domains leading to faster growth. We also show that the $\sim t^{0.6}$ regime is robust to several model generalizations.
format Preprint
id arxiv_https___arxiv_org_abs_2508_13888
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Phase Separation Kinetics in a Polar Active Field Model
Semeraro, Massimiliano
Cugliandolo, Leticia F.
Gonnella, Giuseppe
Tiribocchi, Adriano
Soft Condensed Matter
Statistical Mechanics
A milestone of phase separation kinetics is the emergence of universal power laws $\sim t^{1/z}$ governing the domain growth evolution. We investigate a phase-separating polar active model comprising a scalar density field with an advective coupling to a polarization field. Our analysis reveals a novel $\sim t^{0.6}$ regime, which agrees well with the accelerated growth recently observed in simulations of polar active particles. We provide analytical arguments to explain how advection facilitates the creation of topological defects and compresses the domains leading to faster growth. We also show that the $\sim t^{0.6}$ regime is robust to several model generalizations.
title Phase Separation Kinetics in a Polar Active Field Model
topic Soft Condensed Matter
Statistical Mechanics
url https://arxiv.org/abs/2508.13888