J. Phys. I France
Volume 7, Number 4, April 1997
Page(s) 563 - 568
DOI: 10.1051/jp1:1997175
J. Phys. I France 7 (1997) 563-568

Topologically Induced Glass Transition in Freely Rotating Rods

Sergei 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 $L_{\rm c}\cong 4.5$.

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