Neural-Network-Assisted Boltzmann Approach for Dilute Microswimmer Suspensions

Fuente: arXiv
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Autori principali: Hayano, Haruki, Furukawa, Akira, Kim, Kang
Natura: Preprint
Pubblicazione: 2025
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author Hayano, Haruki
Furukawa, Akira
Kim, Kang
author_facet Hayano, Haruki
Furukawa, Akira
Kim, Kang
contents We introduce a neural-network-assisted Boltzmann framework that learns the binary-collision map of microswimmers directly from data and uses it to evaluate collision integrals efficiently. Using a representative model swimmer, the learned map quantitatively predicts translational and rotational diffusivities and enables a linear-stability analysis of isotropy against polar ordering in dilute suspensions. The resulting predictions closely match direct simulations. The present framework is agnostic to active matter models and broadly applicable: once two-body collision data are obtained -- either from simulations or experiments -- the same surrogate can be used to evaluate kinetic transport across dilute conditions where binary collisions dominate. Because the workflow relies only on pre- and post-collision statistics, the present approach provides a general data-driven route linking particle-scale interactions to macroscopic transport and collective behavior in active suspensions.
format Preprint
id arxiv_https___arxiv_org_abs_2510_02559
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Neural-Network-Assisted Boltzmann Approach for Dilute Microswimmer Suspensions
Hayano, Haruki
Furukawa, Akira
Kim, Kang
Soft Condensed Matter
We introduce a neural-network-assisted Boltzmann framework that learns the binary-collision map of microswimmers directly from data and uses it to evaluate collision integrals efficiently. Using a representative model swimmer, the learned map quantitatively predicts translational and rotational diffusivities and enables a linear-stability analysis of isotropy against polar ordering in dilute suspensions. The resulting predictions closely match direct simulations. The present framework is agnostic to active matter models and broadly applicable: once two-body collision data are obtained -- either from simulations or experiments -- the same surrogate can be used to evaluate kinetic transport across dilute conditions where binary collisions dominate. Because the workflow relies only on pre- and post-collision statistics, the present approach provides a general data-driven route linking particle-scale interactions to macroscopic transport and collective behavior in active suspensions.
title Neural-Network-Assisted Boltzmann Approach for Dilute Microswimmer Suspensions
topic Soft Condensed Matter
url https://arxiv.org/abs/2510.02559