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Condensed Matter > Soft Condensed Matter

arXiv:1912.02965 (cond-mat)
[Submitted on 6 Dec 2019 (v1), last revised 17 Jun 2020 (this version, v2)]

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

Authors:Julian Jeggle, Joakim Stenhammar, Raphael Wittkowski
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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 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.
Comments: 15 pages, 5 figures, 5 tables
Subjects: Soft Condensed Matter (cond-mat.soft); Statistical Mechanics (cond-mat.stat-mech)
Cite as: arXiv:1912.02965 [cond-mat.soft]
  (or arXiv:1912.02965v2 [cond-mat.soft] for this version)
  https://doi.org/10.48550/arXiv.1912.02965
Journal reference: Journal of Chemical Physics 152, 194903 (2020)
Related DOI: https://doi.org/10.1063/1.5140725

Submission history

From: Raphael Wittkowski [view email]
[v1] Fri, 6 Dec 2019 03:26:41 UTC (24,247 KB)
[v2] Wed, 17 Jun 2020 10:27:13 UTC (24,249 KB)
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