J. Phys. I France 7 (1997) 563-568
Topologically Induced Glass Transition in Freely Rotating RodsSergei Obukhov1, Dmitry Kobzev1, Dennis Perchak2 and Michael Rubinstein3
1 Department of Physics, University of Florida, Gainesville, FL 32611-8440, USA
2 Research Laboratories, Eastman Kodak Company, Rochester, NY 14650-2116, USA
3 Department of Chemistry, University of North Carolina, Chapel Hill, NC 27599-3290, USA
(Received 21 June 1996, revised 30 October 1996, accepted 30 December 1996)
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 .
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