Dynamical Coarse-Graining of Highly Fluctuating Membranes under Shear Flow

Details Dynamical Coarse-Graining of Highly Fluctuating Membranes under Shear Flow Dynamical Coarse-Graining of Highly Fluctuating Membranes under Shear Flow

2002-09-21

arxiv.org/abs/cond-mat/0209508v1

Physical Review E 66 (2002) 061706 (14 pages)

Physics

Condensed Matter

Soft Condensed Matter

17 pages, 6 figure, submitted to Phys Rev E

Scientific paper

10.1103/PhysRevE.66.061706

The effect of strong shear flow on highly fluctuating lamellar systems stabilized by intermembrane collisions via the Helfrich interaction is studied. Advection enters the microscopic equation of motion for a single membrane via a non-linear coupling. Upon coarse-graining the theory for a single bilayer up to the length scale of the collision length, at which a hydrodynamic description applies, an additional dynamical coupling is generated which is of the form of a wavevector-dependent tension that is non-linear in the applied shear rate. This new term has consequences for the effects of strong flow on the stability and dynamics of lamellar surfactant phases.

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