C. Zheng et Rb. Meyer, STRUCTURE AND DYNAMICS OF SOLITONS IN A NEMATIC LIQUID-CRYSTAL IN A ROTATING MAGNETIC-FIELD, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(5), 1997, pp. 5553-5560
We study the structure and speed of movement of dynamic solitons in a
thin layer of nematic liquid crystal, with homeotropic boundary condit
ions, in a rotating magnetic field. Based on numerical integration of
the equations of motion, we find that the soliton must be described as
a two-dimensional object with unconstrained director motion. From som
e qualitative features of the soliton structure seen in our numerical
results, we are able to deduce an approximate analytic theory of the p
hysics of the soliton structure and dynamics that accounts accurately
for the observations. The basic elements of this picture are a tilted
plane in which the director rotates as the soliton passes a point, wit
h the tilt angle of the plane being dictated by a second Freedericksz
transition within the soliton.