Phase Separation of Rigid-Rod Suspensions in Shear Flow

Details Phase Separation of Rigid-Rod Suspensions in Shear Flow Phase Separation of Rigid-Rod Suspensions in Shear Flow

1999-04-16

arxiv.org/abs/cond-mat/9904236v2

Physical Review E 60 (1999) 4397-4415

Physics

Condensed Matter

Soft Condensed Matter

23 pages 19 figures, revised version to be published in Physical Review E

Scientific paper

10.1103/PhysRevE.60.4397

We analyze the behavior of a suspension of rigid rod-like particles in shear flow using a modified version of the Doi model, and construct diagrams for phase coexistence under conditions of constant imposed stress and constant imposed strain rate, among paranematic, flow-aligning nematic, and log-rolling nematic states. We calculate the effective constitutive relations that would be measured through the regime of phase separation into shear bands. We calculate phase coexistence by examining the stability of interfacial steady states and find a wide range of possible ``phase'' behaviors.

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