Scaling of the elastic contribution to the surface free energy of a nematic on a sawtoothed substrate - Condensed Matter > Soft Condensed MatterReport as inadecuate




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Abstract: We characterize the elastic contribution to the surface free energy of anematic in presence of a sawtooth substrate. Our findings are based onnumerical minimization of the Landau-de Gennes model and analyticalcalculations on the Frank-Oseen theory. The nucleation of disclination linescharacterized by non-half-integer winding numbers in the wedges and apexes ofthe substrate induces a leading order proportional to qlnq to the elasticcontribution to the surface free energy density, q being the wavenumberassociated with the substrate periodicity.



Author: Jose Manuel Romero-Enrique, Chi-Tuong Pham, Pedro Patricio

Source: https://arxiv.org/







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