Scalar ${\varphi }^4$ field theory for active-particle phase separation

Abstract

Recent theories predict phase separation among orientationally disordered active particles whose propulsion speed decreases rapidly enough with density. Coarse-grained models of this process show time-reversal symmetry (detailed balance) to be restored for uniform states, but broken by gradient terms; hence detailed-balance violation is strongly coupled to interfacial phenomena. To explore the subtle generic physics resulting from such coupling we here introduce `Active Model B'. This is a scalar ${\varphi }^4$ field theory (or phase-field model) that minimally violates detailed balance via a leading-order square-gradient term. We find that this additional term has modest effects on coarsening dynamics, but alters the static phase diagram by creating a jump in (thermodynamic) pressure across flat interfaces. Both results are surprising, since interfacial phenomena are always strongly implicated in coarsening dynamics but are, in detailed-balance systems, irrelevant for phase equilibria.

15 pages, 7 figures

References in corpus (7)

• Self-motile colloidal particles: from directed propulsion to random walk
• Meso-scale turbulence in living fluids
• Statistical Mechanics of Interacting Run-and-Tumble Bacteria
• When are active Brownian particles and run-and-tumble particles equivalent? Consequences for motility-induced phase separation
• Diffusive transport without detailed balance in motile bacteria: Does microbiology need statistical physics?
• A generalized Cahn-Hilliard equation for biological applications
• Complex Fluids: The Physics of Emulsions

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