TOPOLOGICALLY INDUCED GLASS-TRANSITION IN FREELY ROTATING RODS

We present a simple minimal model which allows numerical and analytica l study of a glass transition. This is a model of rigid rods with fixe d centers of rotation. The rods can rotate freely but cannot cross eac h other. The ratio L of the length of the rods to the distance between the centers of rotation is the only parameter of this model. With inc reasing L we observed a sharp crossover to practically infinite relaxa tion times in 2D arrays of rods. In 3D we found a real transition to a completely frozen random state at L(c) congruent to 4.5.