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Pair-distribution function of active Brownian spheres in two spatial dimensions : Simulation results and analytic representation

Jeggle, Julian ; Stenhammar, Joakim LU and Wittkowski, Raphael (2020) In Journal of Chemical Physics 152(19).
Abstract

We investigate the full pair-distribution function of a homogeneous suspension of spherical active Brownian particles interacting by a Weeks-Chandler-Andersen potential in two spatial dimensions. The full pair-distribution function depends on three coordinates describing the relative positions and orientations of two particles, the Péclet number specifying the activity of the particles, and their mean packing density. This five-dimensional function is obtained from Brownian dynamics simulations. We discuss its structure taking into account all of its degrees of freedom. In addition, we present an approximate analytic expression for the product of the full pair-distribution function and the interparticle force. We find that the analytic... (More)

We investigate the full pair-distribution function of a homogeneous suspension of spherical active Brownian particles interacting by a Weeks-Chandler-Andersen potential in two spatial dimensions. The full pair-distribution function depends on three coordinates describing the relative positions and orientations of two particles, the Péclet number specifying the activity of the particles, and their mean packing density. This five-dimensional function is obtained from Brownian dynamics simulations. We discuss its structure taking into account all of its degrees of freedom. In addition, we present an approximate analytic expression for the product of the full pair-distribution function and the interparticle force. We find that the analytic expression, which is typically needed when deriving analytic models for the collective dynamics of active Brownian particles, is in good agreement with the simulation results. The results of this work can thus be expected to be helpful for the further theoretical investigation of active Brownian particles as well as nonequilibrium statistical physics in general.

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; and
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publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Chemical Physics
volume
152
issue
19
article number
194903
publisher
American Institute of Physics (AIP)
external identifiers
  • pmid:33687241
  • scopus:85097942361
ISSN
0021-9606
DOI
10.1063/1.5140725
language
English
LU publication?
yes
id
748c6664-1991-4f22-8ad4-7ff618708400
date added to LUP
2022-03-30 16:32:22
date last changed
2024-04-12 02:23:20
@article{748c6664-1991-4f22-8ad4-7ff618708400,
  abstract     = {{<p>We investigate the full pair-distribution function of a homogeneous suspension of spherical active Brownian particles interacting by a Weeks-Chandler-Andersen potential in two spatial dimensions. The full pair-distribution function depends on three coordinates describing the relative positions and orientations of two particles, the Péclet number specifying the activity of the particles, and their mean packing density. This five-dimensional function is obtained from Brownian dynamics simulations. We discuss its structure taking into account all of its degrees of freedom. In addition, we present an approximate analytic expression for the product of the full pair-distribution function and the interparticle force. We find that the analytic expression, which is typically needed when deriving analytic models for the collective dynamics of active Brownian particles, is in good agreement with the simulation results. The results of this work can thus be expected to be helpful for the further theoretical investigation of active Brownian particles as well as nonequilibrium statistical physics in general. </p>}},
  author       = {{Jeggle, Julian and Stenhammar, Joakim and Wittkowski, Raphael}},
  issn         = {{0021-9606}},
  language     = {{eng}},
  month        = {{05}},
  number       = {{19}},
  publisher    = {{American Institute of Physics (AIP)}},
  series       = {{Journal of Chemical Physics}},
  title        = {{Pair-distribution function of active Brownian spheres in two spatial dimensions : Simulation results and analytic representation}},
  url          = {{http://dx.doi.org/10.1063/1.5140725}},
  doi          = {{10.1063/1.5140725}},
  volume       = {{152}},
  year         = {{2020}},
}