Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2008-04-30
Physics
Condensed Matter
Soft Condensed Matter
Scientific paper
10.1103/PhysRevE.78.026707
We propose an efficient numerical scheme, based on the method of lines, for solving the Landau-de Gennes equations describing the relaxational dynamics of nematic liquid crystals. Our method is computationally easy to implement, balancing requirements of efficiency and accuracy. We benchmark our method through the study of the following problems: the isotropic-nematic interface, growth of nematic droplets in the isotropic phase and the kinetics of coarsening following a quench into the nematic phase. Our results, obtained through solutions of the full coarse-grained equations of motion with no approximations, provide a stringent test of the de Gennes ansatz for the isotropic - nematic interface, illustrate the anisotropic character of droplets in the nucleation regime and validate dynamical scaling in the coarsening regime.
Adhikari Rameshwar
Bhattacharjee A. K.
Menon Gautam I.
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