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The rheological behaviour of an emulsion made of an active polar componentand an isotropic passive fluid is studied by lattice Boltzmann methods.Different flow regimes are found by varying the values of shear rate andextensile activity (occurring, e.g., in microtubule-motor suspensions). Byincreasing activity, a first transition occurs from linear flow regime tospontaneous persistent unidirectional macro-scale flow, followed by anothertransition either to (low shear) intermittent flow regime with coexistence ofstates with positive, negative, and vanishing apparent viscosity, or to (highshear) symmetric shear thinning regime. The different behaviours can beexplained in terms of the dynamics of the polarization field close to thewalls. A maximum entropy production principle selects the most likely states inthe intermittent regime.

Rheology of active polar emulsions: from linear to unidirectional and unviscid flow, and intermittent viscosity