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**Harvard**

Keesman, R., Lamers, J., Duine, R. och Barkema, G. (2016) *Finite-size scaling at infinite-order phase transitions*.

** BibTeX **

@article{

Keesman2016,

author={Keesman, Rick and Lamers, Jules and Duine, R A and Barkema, G T},

title={Finite-size scaling at infinite-order phase transitions},

journal={Journal of Statistical Mechanics: Theory and Experiment},

issn={1742-5468},

volume={2016},

pages={093201},

abstract={For systems with infinite-order phase transitions, in which an order parameter smoothly becomes nonzero, a new observable for finite-size scaling analysis is suggested. By construction this new observable has the favourable property of diverging at the critical point. Focussing on the example of the F-model we compare the analysis of this observable with that of another observable, which is also derived from the order parameter but does not diverge, as well as that of the associated susceptibility. We discuss the difficulties that arise in the finite-size scaling analysis of such systems. In particular we show that one may reach incorrect conclusions from large-system size extrapolations of observables that are not known to diverge at the critical point. Our work suggests that one should base finite-size scaling analyses for infinite-order phase transitions only on observables that are guaranteed to diverge. },

year={2016},

}

** RefWorks **

RT Journal Article

SR Print

ID 246549

A1 Keesman, Rick

A1 Lamers, Jules

A1 Duine, R A

A1 Barkema, G T

T1 Finite-size scaling at infinite-order phase transitions

YR 2016

JF Journal of Statistical Mechanics: Theory and Experiment

SN 1742-5468

VO 2016

AB For systems with infinite-order phase transitions, in which an order parameter smoothly becomes nonzero, a new observable for finite-size scaling analysis is suggested. By construction this new observable has the favourable property of diverging at the critical point. Focussing on the example of the F-model we compare the analysis of this observable with that of another observable, which is also derived from the order parameter but does not diverge, as well as that of the associated susceptibility. We discuss the difficulties that arise in the finite-size scaling analysis of such systems. In particular we show that one may reach incorrect conclusions from large-system size extrapolations of observables that are not known to diverge at the critical point. Our work suggests that one should base finite-size scaling analyses for infinite-order phase transitions only on observables that are guaranteed to diverge.

LA eng

DO 10.1088/1742-5468/2016/09/093201

OL 30