Topologically Induced Glass Transition in Freely Rotating Rods
We present a simple minimal model which allows numerical and analytical study of a glass transition. This is a model of rigid rods with fixed centers of rotation. The rods can rotate freely but cannot cross each 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 increasing L we observed a sharp crossover to practically infinite relaxation times in 2D arrays of rods. In 3D we found a real transition to a completely frozen random state at L_c\cong 4.5.
Journal de Physique I
- Pub Date:
- April 1997