Issue |
Europhys. Lett.
Volume 53, Number 6, March 2001
|
|
---|---|---|
Page(s) | 756 - 761 | |
Section | Condensed matter: structure, mechanical and thermal properties | |
DOI | https://doi.org/10.1209/epl/i2001-00216-4 | |
Published online | 01 December 2003 |
Finite-size scaling at the dynamical transition of the mean-field 10-state Potts glass
Institute of Physics, Johannes Gutenberg University
Staudinger Weg 7, D55099 Mainz, Germany
Received:
6
October
2000
Accepted:
2
January
2001
We use Monte Carlo simulations to study the static and dynamical
properties of a Potts glass with infinite-range Gaussian-distributed
exchange interactions for a broad range of temperature and system
size up to N=2560 spins. The results are compatible with a critical
divergence of the relaxation time τ at the theoretically
predicted dynamical transition temperature ,
with
. For finite N a further
power law at
is found,
with
and for
dynamical finite-size scaling
seems to hold. The order parameter distribution P(q) is
qualitatively compatible with the scenario of a first-order glass
transition as predicted from one-step replica symmetry breaking schemes.
PACS: 64.70.Pf – Glass transitions / 75.10.Nr – Spin-glass and other random models / 75.40.Gb – Dynamic properties (dynamic susceptibility, spin waves, spin diffusion, dynamic scaling, etc.)
© EDP Sciences, 2001
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