J. Phys. I France 4 (1994) 1027-1048
The crossover from first to second-order finite-size scaling: a numerical studyChristian Borgs1, P.E.L. Rakow1 and Stefan Kappler2
1 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)
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 .
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