Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2001-04-18
Physics
Condensed Matter
Soft Condensed Matter
25 pages, 4 figures, submitted to Phys. Rev. E
Scientific paper
10.1103/PhysRevE.64.051803
In this work we incorporate some real-system effects into the theory of orientational phase transitions under shear flow (M. E. Cates and S. T. Milner, Phys. Rev. Lett. v.62, p.1856 (1989) and G. H. Fredrickson, J. Rheol. v.38, p.1045 (1994)). In particular, we study the influence of the shear-cell boundaries on the orientation of the lamellar phase. We predict that at low shear rates the parallel orientation appears to be stable. We show that there is a critical value of the shear rate at which the parallel orientation loses its stability and the perpendicular one appears immediately below the spinodal. We associate this transition with a crossover from the fluctuation to the mean-field behaviour. At lower temperatures the stability of the parallel orientation is restored. We find that the region of stability of the perpendicular orientation rapidly decreases as shear rate increases. This behaviour might be misinterpreted as an additional perpendicular to parallel transition recently discussed in literature.
Fraaije G. E. J. M.
Morozov Alexander N.
Zvelindovsky A. V.
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