EQUAL WEIGHT VERSUS EQUAL HEIGHT —A CONTROVERSY IN FINITE-SIZE SCALING THEORY

Stefan Kappler and Christian Borgs
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Stefan Kappler: Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, 1000 Berlin, Germany
Christian Borgs: Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, 1000 Berlin, Germany

International Journal of Modern Physics C (IJMPC), 1992, vol. 03, issue 05, 1099-1107

Abstract: Describing asymmetric first-order phase transitions by an order parameter distribution, there is a controversy in the literature concerning the relative normalization of the two occurring peaks. There are two rules for normalizing the distribution, called the “equal weight”-rule and the “equal height”-rule, which lead to different predictions of the finite-size scaling. We tested these predictions for an asymmetric model with two co-existing phases by means of a Monte Carlo simulation. We find overwhelming numerical evidence in favour of the “equal weight”-rule, showing at the same time that the shift of the susceptibility maximum with respect to the infinite volume transition pointhtis proportional toL−2d, and not toL−d. In addition we tested a new method to determine the transition pointhtwhich was recently proposed by Borgs and Janke.

Keywords: finite-size scaling; asymmetric first-order transition; order parameter distribution; multimagnetical heat bath algorithm (search for similar items in EconPapers)
Date: 1992
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DOI: 10.1142/S0129183192000725

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