Before revision: We investigate the solution landscapes of the Onsager free-energy functional with different potential kernels, including the dipolar potential, the Maier--Saupe potential, the coupled dipolar/ Maier--Saupe potential, and the Onsager potential.
After revision: We investigate the solution landscapes of the Onsager free-energy model on a sphere with different potential kernels, including the dipolar potential, the Maier--Saupe potential, the coupled dipolar/ Maier--Saupe potential, and the Onsager potential.