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Pseudogiant Number Fluctuations and Nematic Order in Microswimmer Suspensions

El Korde, Ismail LU ; Bárdfalvy, Dóra LU ; Lewis, Jason M. LU orcid ; Morozov, Alexander ; Nardini, Cesare and Stenhammar, Joakim LU orcid (2025) In Physical Review Letters 135(9). p.98302-98302
Abstract

Giant number fluctuations (GNFs), whereby the standard deviation ΔN in the local number of particles ⟨N⟩ grows faster than sqrt[⟨N⟩], are a hallmark property of dry active matter systems with orientational order, such as a collection of granular particles on a vibrated plate. This contrasts with momentum-conserving ("wet") active matter systems, such as suspensions of swimming bacteria, where no theoretical prediction of GNFs exist, although numerous experimental observations of such enhanced fluctuations have been reported. In this Letter, we numerically confirm the emergence of super-Gaussian number fluctuations in a three-dimensional suspension of pusher microswimmers undergoing a transition to collective motion. These fluctuations... (More)

Giant number fluctuations (GNFs), whereby the standard deviation ΔN in the local number of particles ⟨N⟩ grows faster than sqrt[⟨N⟩], are a hallmark property of dry active matter systems with orientational order, such as a collection of granular particles on a vibrated plate. This contrasts with momentum-conserving ("wet") active matter systems, such as suspensions of swimming bacteria, where no theoretical prediction of GNFs exist, although numerous experimental observations of such enhanced fluctuations have been reported. In this Letter, we numerically confirm the emergence of super-Gaussian number fluctuations in a three-dimensional suspension of pusher microswimmers undergoing a transition to collective motion. These fluctuations emerge sharply above the transition, but only for sufficiently large values of the bacterial persistence length ℓ_{p}=v_{s}/λ, where v_{s} is the bacterial swimming speed and λ the tumbling rate. Crucially, these "pseudo-GNFs" differ from true GNFs, as they only occur on length scales shorter than the typical size ξ of nematic patches in the collective motion state, which is in turn proportional to the single-swimmer persistence length ℓ_{p}. Our results thus suggest that observations of enhanced density fluctuations in biological active matter systems actually represent transient effects that decay away beyond mesoscopic length scales and raises the question to what extent "true" GNFs with universal properties can exist in the presence of fluid flows.

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organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review Letters
volume
135
issue
9
pages
1 pages
publisher
American Physical Society
external identifiers
  • pmid:40952184
  • scopus:105016275494
ISSN
1079-7114
DOI
10.1103/31q1-hj3n
language
English
LU publication?
yes
id
54207c44-0150-4af0-89d5-44d762323977
date added to LUP
2025-10-20 13:17:08
date last changed
2025-11-03 14:11:49
@article{54207c44-0150-4af0-89d5-44d762323977,
  abstract     = {{<p>Giant number fluctuations (GNFs), whereby the standard deviation ΔN in the local number of particles ⟨N⟩ grows faster than sqrt[⟨N⟩], are a hallmark property of dry active matter systems with orientational order, such as a collection of granular particles on a vibrated plate. This contrasts with momentum-conserving ("wet") active matter systems, such as suspensions of swimming bacteria, where no theoretical prediction of GNFs exist, although numerous experimental observations of such enhanced fluctuations have been reported. In this Letter, we numerically confirm the emergence of super-Gaussian number fluctuations in a three-dimensional suspension of pusher microswimmers undergoing a transition to collective motion. These fluctuations emerge sharply above the transition, but only for sufficiently large values of the bacterial persistence length ℓ_{p}=v_{s}/λ, where v_{s} is the bacterial swimming speed and λ the tumbling rate. Crucially, these "pseudo-GNFs" differ from true GNFs, as they only occur on length scales shorter than the typical size ξ of nematic patches in the collective motion state, which is in turn proportional to the single-swimmer persistence length ℓ_{p}. Our results thus suggest that observations of enhanced density fluctuations in biological active matter systems actually represent transient effects that decay away beyond mesoscopic length scales and raises the question to what extent "true" GNFs with universal properties can exist in the presence of fluid flows.</p>}},
  author       = {{El Korde, Ismail and Bárdfalvy, Dóra and Lewis, Jason M. and Morozov, Alexander and Nardini, Cesare and Stenhammar, Joakim}},
  issn         = {{1079-7114}},
  language     = {{eng}},
  number       = {{9}},
  pages        = {{98302--98302}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review Letters}},
  title        = {{Pseudogiant Number Fluctuations and Nematic Order in Microswimmer Suspensions}},
  url          = {{http://dx.doi.org/10.1103/31q1-hj3n}},
  doi          = {{10.1103/31q1-hj3n}},
  volume       = {{135}},
  year         = {{2025}},
}