Temporal Evolution of Patterns in Quenched Twisted-Nematic Cells —Dynamics and Fractal—

Abstract

The temporal evolutions of the assembly of disclination lines, as well as of a single line, are studied from the fractal viewpoint. It has turned out that the fractal dimension of the assembly is almost 2, while that of the single line is 1.65. We confirmed the validity of the relation μ=(D−D_T)ν, where μ and ν are the exponents with respect to the disclination length and the characteristic length, respectively, and D and D_T are the fractal and topological dimensions, respectively.