Abstract
Langmuir monomolecular layers, formed by amphiphilic molecules at
liquid-air interfaces and containing a fraction of chiral molecules,
are theoretically investigated. These monolayers can be brought out
of thermal equilibrium by applying a gradient of small molecules
across the interface, resulting in the leakage flow. A new theoretical
description is introduced for this nonequilibrium soft matter system,
taking into account the changes of the tilt of chiral molecules as well
as the splay coupling between the concentration field and the orientation.
Complex wave behavior like multi-armed rotating spirals has been found
in numerical simulations. Close to the transition to the untilted condensed
phase the splay coupling may give rise to the reproduction of topological
defects.
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