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Issue 10, 2014
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Phase behaviour of active Brownian particles: the role of dimensionality

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Abstract

Recently, there has been much interest in activity-induced phase separations in concentrated suspensions of “active Brownian particles” (ABPs), self-propelled spherical particles whose direction of motion relaxes through thermal rotational diffusion. To date, almost all these studies have been restricted to 2 dimensions. In this work we study activity-induced phase separation in 3D and compare the results with previous and new 2D simulations. To this end, we performed state-of-the-art Brownian dynamics simulations of up to 40 million ABPs – such very large system sizes are unavoidable to evade finite size effects in 3D. Our results confirm the picture established for 2D systems in which an activity-induced phase separation occurs, with strong analogies to equilibrium gas–liquid spinodal decomposition, in spite of the purely non-equilibrium nature of the driving force behind the phase separation. However, we also find important differences between the 2D and 3D cases. Firstly, the shape and position of the phase boundaries is markedly different for the two cases. Secondly, for the 3D coarsening kinetics we find that the domain size grows in time according to the classical diffusive t1/3 law, in contrast to the nonstandard subdiffusive exponent observed in 2D.

Graphical abstract: Phase behaviour of active Brownian particles: the role of dimensionality

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Publication details

The article was received on 07 Nov 2013, accepted on 18 Dec 2013 and first published on 23 Dec 2013


Article type: Paper
DOI: 10.1039/C3SM52813H
Citation: Soft Matter, 2014,10, 1489-1499
  • Open access: Creative Commons BY-NC license
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    Phase behaviour of active Brownian particles: the role of dimensionality

    J. Stenhammar, D. Marenduzzo, R. J. Allen and M. E. Cates, Soft Matter, 2014, 10, 1489
    DOI: 10.1039/C3SM52813H

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