Soliton model for proton conductivity in Langmuir films

Soliton-Stripe Patterns in Charged Langmuir Monolayers

We consider a charged Langmuir monolayer problem where electrostatic interaction forces undulations in molecular concentration of the monolayer. Using the Γ-convergence theory in singular perturbative variational calculus, we prove the existence of soliton-stripe lamellar patterns as one-dimensional local minimizers of the free energy, which are characterized by sharp domain walls delineating f...

Chiral Symmetry Breaking and the Soliton-Stripe Pattern in Langmuir Monolayers and Smectic Films

Chiral symmetry breaking in Langmuir monolayers and smectic films may be modelled by a system of two coupled fields: A scalar field which represents the chirality of the molecules and a vector field which represents the tilt direction of the molecules. In a particular parameter range we prove the existence of a soliton-stripe pattern, using the Γ-limit theory in perturbative variational calculu...

Domain relaxation in Langmuir films

By JAMES C. ALEXANDER, ANDREW J. BERNOFF, ELIZABETH K. MANN, J. ADIN MANN Jr, JACOB R. WINTERSMITH AND LU ZOU Department of Mathematics, Case Western Reserve University, Cleveland, OH 44106, USA Department of Mathematics, Harvey Mudd College, Claremont, CA 91711, USA Department of Physics, Kent State University, Kent, OH 44242, USA Department of Chemical Engineering, Case Western Reserve Univer...

Langmuir-Blodgett films of polyethylene

Stable ordering in Langmuir-Blodgett films.

Defects in the layering of Langmuir-Blodgett (LB) films can be eliminated by depositing from the appropriate monolayer phase at the air-water interface. LB films deposited from the hexagonal phase of cadmium arachidate (CdA2) at pH 7 spontaneously transform into the bulk soap structure, a centrosymmetric bilayer with an orthorhombic herringbone packing. A large wavelength folding mechanism acce...