Nonlinear dynamics and rheology of active fluids: simulations in two dimensions

Details Nonlinear dynamics and rheology of active fluids: simulations in two dimensions Nonlinear dynamics and rheology of active fluids: simulations in two dimensions

2010-12-15

arxiv.org/abs/1012.3233v1

Physics

Condensed Matter

Soft Condensed Matter

16 pages, 15 eps figures, submitted to Phys. Rev. E

Scientific paper

We report simulations of a continuum model for (apolar, flow aligning) active fluids in two dimensions. Both free and anchored boundary conditions are considered, at parallel confining walls that are either static or moving at fixed relative velocity. We focus on extensile materials and find that steady shear bands, previously shown to arise ubiquitously in 1D for the active nematic phase at small (or indeed zero) shear rate, are generally replaced in 2D by more complex flow patterns that can be stationary, oscillatory, or apparently chaotic. The consequences of these flow patterns for time-averaged steady-state rheology are examined.

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