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Pair-distribution function of active Brownian spheres in three spatial dimensions : simulation results and analytical representation

Bröker, Stephan ; te Vrugt, Michael ; Jeggle, Julian ; Stenhammar, Joakim LU and Wittkowski, Raphael (2023) In Soft Matter 20(1). p.224-244
Abstract

The pair-distribution function, which provides information about correlations in a system of interacting particles, is one of the key objects of theoretical soft matter physics. In particular, it allows for microscopic insights into the phase behavior of active particles. While this function is by now well studied for two-dimensional active matter systems, the more complex and more realistic case of three-dimensional systems is not well understood by now. In this work, we analyze the full pair-distribution function of spherical active Brownian particles interacting via a Weeks-Chandler-Andersen potential in three spatial dimensions using Brownian dynamics simulations. Besides extracting the structure of the pair-distribution function... (More)

The pair-distribution function, which provides information about correlations in a system of interacting particles, is one of the key objects of theoretical soft matter physics. In particular, it allows for microscopic insights into the phase behavior of active particles. While this function is by now well studied for two-dimensional active matter systems, the more complex and more realistic case of three-dimensional systems is not well understood by now. In this work, we analyze the full pair-distribution function of spherical active Brownian particles interacting via a Weeks-Chandler-Andersen potential in three spatial dimensions using Brownian dynamics simulations. Besides extracting the structure of the pair-distribution function from the simulations, we obtain an analytical representation for this function, parametrized by activity and concentration, which takes into account the symmetries of a homogeneous stationary state. Our results are useful as input to quantitative models of active Brownian particles and advance our understanding of the microstructure in dense active fluids.

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author
; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Soft Matter
volume
20
issue
1
pages
21 pages
publisher
Royal Society of Chemistry
external identifiers
  • pmid:38078539
  • scopus:85179834051
ISSN
1744-683X
DOI
10.1039/d3sm00987d
language
English
LU publication?
yes
id
cacac871-cdfe-46d6-b034-a8fa615e3538
date added to LUP
2024-01-10 11:41:05
date last changed
2024-04-25 07:38:14
@article{cacac871-cdfe-46d6-b034-a8fa615e3538,
  abstract     = {{<p>The pair-distribution function, which provides information about correlations in a system of interacting particles, is one of the key objects of theoretical soft matter physics. In particular, it allows for microscopic insights into the phase behavior of active particles. While this function is by now well studied for two-dimensional active matter systems, the more complex and more realistic case of three-dimensional systems is not well understood by now. In this work, we analyze the full pair-distribution function of spherical active Brownian particles interacting via a Weeks-Chandler-Andersen potential in three spatial dimensions using Brownian dynamics simulations. Besides extracting the structure of the pair-distribution function from the simulations, we obtain an analytical representation for this function, parametrized by activity and concentration, which takes into account the symmetries of a homogeneous stationary state. Our results are useful as input to quantitative models of active Brownian particles and advance our understanding of the microstructure in dense active fluids.</p>}},
  author       = {{Bröker, Stephan and te Vrugt, Michael and Jeggle, Julian and Stenhammar, Joakim and Wittkowski, Raphael}},
  issn         = {{1744-683X}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{224--244}},
  publisher    = {{Royal Society of Chemistry}},
  series       = {{Soft Matter}},
  title        = {{Pair-distribution function of active Brownian spheres in three spatial dimensions : simulation results and analytical representation}},
  url          = {{http://dx.doi.org/10.1039/d3sm00987d}},
  doi          = {{10.1039/d3sm00987d}},
  volume       = {{20}},
  year         = {{2023}},
}