Transformation from walls to disclination lines:: Statics and dynamics of the pincement transition -: art. no. 051713

We present an experimental and theoretical study of the pincement phenomenon-transformation of a wall associated with the Freedericksz transition into a pair of disclination lines. We measure the velocity of the boundary (front) between the two states as a function of the voltage. Experimental results are recovered by numerical simulations based on the nematic tensor order parameter, which also reveal the detailed three-dimensional structure of the front. By introducing reduced models we obtain approximate expressions for the two-state coexistence voltage and the front velocity. We find a bifurcation scenario incorporating a pair of saddle nodes at which the wall and disclination solutions appear or disappear.