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Active Model H: Scalar Active Matter in a Momentum-Conserving Fluid

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Original languageEnglish
Article number188302
JournalPhysical Review Letters
Volume115
Issue number18
DOIs
StatePublished - 28 Oct 2015

Abstract

We present a continuum theory of self-propelled particles, without alignment interactions, in a momentum-conserving solvent. To address phase separation, we introduce a dimensionless scalar concentration field φ with advective-diffusive dynamics. Activity creates a contribution Σij=-κ[(∂iφ)(∂jφ)-(φ)2δij/d] to the deviatoric stress, where κ is odd under time reversal and d is the number of spatial dimensions; this causes an effective interfacial tension contribution that is negative for contractile swimmers. We predict that domain growth then ceases at a length scale where diffusive coarsening is balanced by active stretching of interfaces, and confirm this numerically. Thus, there is a subtle interplay of activity and hydrodynamics, even without alignment interactions.

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