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Instabilities of nematic liquid crystal films
Institution:1. Program for Evolutionary Dynamics, Harvard University, Cambridge, MA 02138 USA;2. Department of Mathematics, University of Wisconsin-Madison, Madison, WI 53706 USA;3. School of Engineering, Brown University, Providence, RI 02912 USA;4. Department of Physics, Brown University, Providence, RI 02012 USA;1. Instituto Mexicano del Petróleo, Eje Central Lázaro Cárdenas 152, CP 07730, México, D.F., Mexico;2. Tecnológico de Monterrey, Escuela de Ingeniería y Ciencias, CP 14380, Mexico;3. Departamento de Matemáticas y Mecánica Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas Universidad Nacional Autónoma de México, Mexico;1. PCFM Lab, School of Chemistry and Chemical Engineering, Sun Yat-Sen University, Guangzhou 510275, PR China;2. Materials Science Institute, Sun Yat-Sen University, Guangzhou 510275, PR China
Abstract:We discuss instabilities exhibited by free surface nematic liquid crystal (NLC) films of nanoscale thickness deposited on solid substrates, with a focus on surface instabilities that lead to dewetting. Such instabilities have been discussed extensively; however, there is still no consensus regarding the interpretation of experimental results, appropriate modeling approaches, or instability mechanisms. Instabilities of thin NLC free surface films are related to a wider class of problems involving dewetting of non-Newtonian fluids. For nanoscale films, the substrate–film interaction, often modeled by a suitable disjoining pressure, becomes relevant. For NLCs, one can extend the formulation to include the elastic energy of the NLC film, leading to an ‘effective’ disjoining pressure, playing an important role in instability development. Focusing on thin film modeling within the framework of the long-wave asymptotic model, we discuss various instability mechanisms and outline problems where new research is needed.
Keywords:Thin fluid films  Nematic liquid crystals  Fluid instabilities  Free surface flow
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