Linear instability of planar shear banded flow

Details Linear instability of planar shear banded flow Linear instability of planar shear banded flow

2005-01-21

arxiv.org/abs/cond-mat/0501518v1

Phys. Rev. Lett. 95 (2005) 134501

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 6 figures

Scientific paper

10.1103/PhysRevLett.95.134501

We study the linear stability of planar shear banded flow with respect to perturbations with wavevector in the plane of the banding interface, within the non local Johnson Segalman model. We find that perturbations grow in time, over a range of wavevectors, rendering the interface linearly unstable. Results for the unstable eigenfunction are used to discuss the nature of the instability. We also comment on the stability of phase separated domains to shear flow in model H.

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