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Nematic liquid crystals confined to geometrically as well as chemicallypatterned substrate on one end and a flat substrate with strong anchoring onthe other is studied using non-Boltzmann Monte Carlo methods. We observesignificant deviations from the continuum-based predictions of the phasediagram which was studied as a function of tilt angle at the top substrate andthickness of the cell. Onset of biaxiality at larger tilt angles at the topsubstrate is observed. A phase shift introduced between the geometrical andchemical pattern has significant effect on the director structures in thesystem.

Nematic liquid crystals in contact with geometrically and chemically patterned substrates: A Monte Carlo Study