Issue |
Europhys. Lett.
Volume 61, Number 2, January 2003
|
|
---|---|---|
Page(s) | 207 - 213 | |
Section | Condensed matter: structure, mechanical and thermal properties | |
DOI | https://doi.org/10.1209/epl/i2003-00214-6 | |
Published online | 01 January 2003 |
Microscopic theory for the glass transition in a system without static correlations
1
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
Received:
25
July
2002
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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