Volume 61, Number 2, January 2003
|Page(s)||207 - 213|
|Section||Condensed matter: structure, mechanical and thermal properties|
|Published online||01 January 2003|
Microscopic theory for the glass transition in a system without static correlations
Institut für Physik, Johannes Gutenberg-Universität Mainz D-55099 Mainz, Staudinger Weg 7, Germany
2 Department of Chemistry, Colorado State University Ft. Collins, CO 80523, USA
Accepted: 25 October 2002
We study the orientational dynamics of infinitely thin hard rods of length L, with the centers-of-mass fixed on a simple cubic lattice with lattice constant a. We approximate the influence of the surrounding rods onto dynamics of a pair of rods by introducing an effective rotational diffusion constant , . We get , where is given through an integral of a time-dependent torque-torque correlator of an isolated pair of rods. A glass transition occurs at , if . We present a variational and a numerically exact evaluation of . Close to the diffusion constant decreases as , with . Our approach predicts a glass transition in the absence of any static correlations, in contrast to the present form of mode-coupling theory.
PACS: 61.20.Lc – Time-dependent properties; relaxation / 61.43.Fs – Glasses / 64.70.Pf – Glass transitions
© EDP Sciences, 2003
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