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Twisted quasiperiodic textures of biaxial nematic liquid crystals



Twisted quasiperiodic textures of biaxial nematic liquid crystals



Physical Review. E Statistical Nonlinear and Soft Matter Physics 88(4): 042504



Textures (i.e., smooth space nonuniform distributions of the order parameter) in biaxial nematics turned out to be much more complex and interesting than expected. Scanning the literature we find only a very few publications on this topic. Thus, the immediate motivation of the present paper is to develop a systematic procedure to study, classify, and visualize possible textures in biaxial nematics. Based on the elastic energy of a biaxial nematic (written in the most simple form that involves the least number of phenomenological parameters) we derive and solve numerically the Lagrange equations of the first kind. It allows one to visualize the solutions and offers a deep insight into their geometrical and topological features. Performing Fourier analysis we find some particular textures possessing two or more characteristic space periods (we term such solutions quasiperiodic ones because the periods are not necessarily commensurate). The problem is not only of intellectual interest but also of relevance to optical characteristics of the liquid-crystalline textures.

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Accession: 056713550

Download citation: RISBibTeXText

PMID: 24229198

DOI: 10.1103/physreve.88.042504


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