| Issue |
J. Phys. I France
Volume 4, Number 7, July 1994
|
|
|---|---|---|
| Page(s) | 1027 - 1048 | |
| DOI | https://doi.org/10.1051/jp1:1994182 | |
J. Phys. I France 4 (1994) 1027-1048
The crossover from first to second-order finite-size scaling: a numerical study
Christian Borgs1, P.E.L. Rakow1 and Stefan Kappler21 Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, D-14195 Berlin, Germany
2 Institut für Physik, Universität Mainz, Staudinger Weg 7, D-55128 Mainz, Germany
(Received 4 November 1993, received in final form 8 March 1994, accepted 21 March 1994)
Abstract
We consider a particular case of the two dimensional Blume-Emery-Griffiths
model to study the finite-size scaling for a field driven first-order phase
transition with two coexisting phases not related by a symmetry. For low
temperatures we verify the asymptotic (large volume) predictions of the
rigorous theory of Borgs and Kotecky. Near the critical temperature we
show that all data fit onto a unique curve, even when the correlation
length
becomes comparable to or larger than the size of the system,
provided the linear dimension
L of the system is rescaled by
.
© Les Editions de Physique 1994