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Journal Articles Physical Review E Year : 2010

Scaling of the elastic contribution to the surface free energy of a nematic liquid crystal on a sawtoothed substrate

Abstract

We characterize the elastic contribution to the surface free energy of a nematic liquid crystal in the presence of a sawtooth substrate. Our findings are based on numerical minimization of the Landau-de Gennes model and analytical calculations on the Frank-Oseen theory. The nucleation of disclination lines (characterized by non-half-integer winding numbers) in the wedges and apexes of the substrate induces a leading order proportional to qlnq to the elastic contribution to the surface free-energy density, with q being the wave number associated with the substrate periodicity. © 2010 The American Physical Society.
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Dates and versions

hal-03863938 , version 1 (21-11-2022)

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José Manuel Romero-Enrique, Chi Tuong Pham, Pedro Patrício. Scaling of the elastic contribution to the surface free energy of a nematic liquid crystal on a sawtoothed substrate. Physical Review E , 2010, ⟨10.1103/PhysRevE.82.011707⟩. ⟨hal-03863938⟩
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