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Critical behavior of active Brownian particles

Jonathan Tammo Siebert, Florian Dittrich, Friederike Schmid, Kurt Binder, Thomas Speck, and Peter Virnau
Phys. Rev. E 98, 030601(R) – Published 18 September 2018
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Abstract

We study active Brownian particles as a paradigm for a genuine nonequilibrium phase transition requiring steady driving. Access to the critical point in computer simulations is obstructed by the fact that the density is conserved. We propose a method based on arguments from finite-size scaling to determine critical points and successfully test it for the two-dimensional (2D) Ising model. Using this method allows us to accurately determine the critical point of two-dimensional active Brownian particles at Pecr=40(2), ϕcr=0.597(3). Based on this estimate, we study the corresponding critical exponents β, γ/ν, and ν. Our results are incompatible with the 2D-Ising exponents, thus raising the question whether there exists a corresponding nonequilibrium universality class.

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  • Received 7 December 2017
  • Revised 28 March 2018

DOI:https://doi.org/10.1103/PhysRevE.98.030601

©2018 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsPolymers & Soft Matter

Authors & Affiliations

Jonathan Tammo Siebert, Florian Dittrich, Friederike Schmid, Kurt Binder, Thomas Speck, and Peter Virnau*

  • Institute for Physics, Johannes Gutenberg University Mainz, 55128 Mainz, Germany

  • *Corresponding author: virnau@uni-mainz.de

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Issue

Vol. 98, Iss. 3 — September 2018

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