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Sökning: WFRF:(Keesman Rick)

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1.
  • Keesman, Rick, et al. (författare)
  • Finite-size scaling at infinite-order phase transitions
  • 2016
  • Ingår i: Journal of Statistical Mechanics: Theory and Experiment. - : IOP Publishing. - 1742-5468. ; 2016:9, s. 093201-
  • Tidskriftsartikel (refereegranskat)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.
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2.
  • Keesman, Rick, et al. (författare)
  • Numerical study of the F model with domain-wall boundaries
  • 2017
  • Ingår i: Physical Review E. - 2470-0045 .- 2470-0053. ; 95:5
  • Tidskriftsartikel (refereegranskat)abstract
    • We perform a numerical study of the F model with domain-wall boundary conditions. Various exact results are known for this particular case of the six-vertex model, including closed expressions for the partition function for any system size as well as its asymptotics and leading finite-size corrections. To complement this picture we use a full lattice multicluster algorithm to study equilibrium properties of this model for systems of moderate size, up to L=512. We compare the energy to its exactly known large-L asymptotics. We investigate the model's infinite-order phase transition by means of finite-size scaling for an observable derived from the staggered polarization in order to test the method put forward in our recent joint work with Duine and Barkema. In addition we analyze local properties of the model. Our data are perfectly consistent with analytical expressions for the arctic curves. We investigate the structure inside the temperate region of the lattice, confirming the oscillations in vertex densities that were first observed by Syljuåsen and Zvonarev and recently studied by Lyberg et al. We point out "(anti)ferroelectric" oscillations close to the corresponding frozen regions as well as "higher-order" oscillations forming an intricate pattern with saddle-point-like features.
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  • Resultat 1-2 av 2
Typ av publikation
tidskriftsartikel (2)
Typ av innehåll
refereegranskat (2)
Författare/redaktör
Keesman, Rick (2)
Lamers, Jules, 1986 (2)
Duine, R A (1)
Barkema, G T (1)
Lärosäte
Chalmers tekniska högskola (2)
Göteborgs universitet (1)
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Engelska (2)
Forskningsämne (UKÄ/SCB)
Naturvetenskap (2)
Teknik (1)

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