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  • Open Access

Anomalous fluctuations in homogeneous fluid phase of active Brownian particles

Yuta Kuroda*, Hiromichi Matsuyama, Takeshi Kawasaki, and Kunimasa Miyazaki†

  • Department of Physics, Nagoya University, Nagoya 464-8602, Japan

  • *kuroda@r.phys.nagoya-u.ac.jp
  • †miyazaki@r.phys.nagoya-u.ac.jp
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Phys. Rev. Research 5, 013077 – Published 2 February, 2023

DOI: https://doi.org/10.1103/PhysRevResearch.5.013077

Abstract

Giant number fluctuations (GNF) are an anomaly universally observed in active fluids with polar or nematic order. In this paper, we show that GNF arise in the fluid phase of active Brownian particles (ABP), where the polar order is absent. GNF in ABP extends over a large but finite length which characterizes the growing velocity correlations. To suppress unwanted phase separation and allow ones to explore the disordered fluid phase at large activities, we impart the inertia, or the mass, to the ABP. A linearized hydrodynamic theory captures our findings, but only qualitatively. We find numerically a nontrivial scaling relation for the density correlation function, which the linearized theory cannot explain. The results suggest ubiquitousness of the anomalous fluctuations even in the disordered homogeneous fluid phase in the absence of the directional order.

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Phys. Rev. Research 5, 013077– Published 2 February, 2023
  • Received 27 April 2022
  • Accepted 23 December 2022
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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