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Chin. Phys. B, 2009, Vol. 18(4): 01560    DOI: 10.1088/1674-1056/18/4/044

Monte Carlo simulations of biaxial structure in thin hybrid nematic film based upon spatially anisotropic pair potential

Zhang Zhi-Dong, Chang Chun-Rui, Ma Dong-Lai
Department of Physics, Hebei University of Technology, Tianjin 300401, China
Abstract  Hybrid nematic films have been studied by Monte Carlo simulations using a lattice spin model, in which the pair potential is spatially anisotropic and dependent on elastic constants of liquid crystals. We confirm in the thin hybrid nematic film the existence of a biaxially nonbent structure and the structure transition from the biaxial to the bent-director structure, which is similar to the result obtained using the Lebwohl--Lasher model. However, the step-like director's profile, characteristic for the biaxial structure, is spatially asymmetric in the film because the pair potential leads to K1 ≠ K3. We estimate the upper cell thickness to be 69 spin layers, in which the biaxial structure can be found.
Keywords:  Monte Carlo simulation      hybrid nematic film      biaxial structure      spatially anisotropic pair potential  
Received:  29 July 2008      Revised:  20 September 2008      Published:  20 April 2009
PACS:  61.30.-v (Liquid crystals)  
  68.15.+e (Liquid thin films)  
  62.10.+s (Mechanical properties of liquids)  
Fund: Project supported by the National Natural Science Foundation of China (Grants Nos 60736042 and 60878047), and the Key Subject Construction Project of Hebei Province University.

Cite this article: 

Zhang Zhi-Dong, Chang Chun-Rui, Ma Dong-Lai Monte Carlo simulations of biaxial structure in thin hybrid nematic film based upon spatially anisotropic pair potential 2009 Chin. Phys. B 18 01560

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