The Landau-deGennes theory is used to study the isotropic-nematic phase transition of a semi-infinite system having a wall which induces local nematic order. Analytic solutions are obtained and it is found that (1) for sufficient surface order, the briefringence-induced optical phase shift diverges at the transition rather than at the supercooling limit, and (2) the regions of superheating and supercooling are severely restricted.
Physical Review A
Copyright 1981 American Physical Society. Available on publisher's site at http://dx.doi.org/10.1103/PhysRevA.24.1086.
Allender, David W; Henderson, G. L.; Johnson, D. L. (1981). Landau Theory of Wall-Induced Phase Nucleation and Pretransitional Birefringence at the Isotropic-Nematic Transition. Physical Review A 24(2) 1086-1089. doi: 10.1103/PhysRevA.24.1086. Retrieved from https://oaks.kent.edu/phypubs/37