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  • Letter

Active crystallization from power functional theory

Sophie Hermann* and Matthias Schmidt†

  • Theoretische Physik II, Physikalisches Institut, Universität Bayreuth, D-95447 Bayreuth, Germany

  • *Sophie.Hermann@uni-bayreuth.de
  • †Matthias.Schmidt@uni-bayreuth.de

Phys. Rev. E 109, L022601 – Published 23 February, 2024

DOI: https://doi.org/10.1103/PhysRevE.109.L022601

Abstract

We address the gas, liquid, and crystal phase behaviors of active Brownian particles in three dimensions. The nonequilibrium force balance at coexistence leads to equality of state functions for which we use power functional approximations. Motility-induced phase separation starts at a critical point and quickly becomes metastable against active freezing for Péclet numbers above a nonequilibrium triple point. The mean swim speed acts as a state variable, similar to the density of depletion agents in colloidal demixing. We obtain agreement with recent simulation results and correctly predict the strength of particle number fluctuations in active fluids.

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