Interfacial adsorption phenomena of the three-dimensional three-state Potts model

@article{Yamagata1993InterfacialAP,
  title={Interfacial adsorption phenomena of the three-dimensional three-state Potts model},
  author={Atsushi Yamagata},
  journal={Journal of Physics A},
  year={1993},
  volume={26},
  pages={2091-2097}
}
  • A. Yamagata
  • Published 31 August 1992
  • Physics
  • Journal of Physics A
The authors study the interfacial adsorption phenomena of the three-state ferromagnetic Potts model on the simple cubic lattice by the Monte Carlo method. Finite-size scaling analyses of the net adsorption yield evidence of the phase transition being of first order and kBTC/J=1.8166(2). 
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References

SHOWING 1-10 OF 75 REFERENCES
Interfacial adsorption phenomena at a weakly first-order phase transition
We study the interfacial adsorption phenomena of the ferromagnetic five-state Potts model on the square lattice, whose transition is of weakly first-order, by using Monte Carlo simulations and…
Monte Carlo studies of interfacial adsorption in multi-state models
Finite-size scaling for the interfacial adsorption phenomena
We study the interfacial adsorption phenomena of the ferromagnetic three-state Potts model on the square lattice. Finite-size scaling of the net-adsorption is discussed through the interfacial free…
Interfacial adsorption in planar potts models
The net adsorption,W, of non-boundary states at interfaces in two-dimensional Potts models is studied using Monte Carlo techniques. For the three-and four-state Potts model the net adsorption is…
Interface properties of the three-state potts model in two dimensions
Interface properties, in particular the interface free energy and the interface profile of the three-state Potts model in two dimensions are studied using Monte Carlo techniques and a generalized…
Bulk and interface scaling properties of the chiral clock model
The authors use a finite-size scaling calculation to study the phase diagram of the two-dimensional, three-state, chiral clock model. Bulk properties, the ferromagnetic transition temperature and…
Finite-size effects and phase transition in the three-dimensional three-state Potts model
The three-state Potts model in three dimensions is studied by Monte Carlo and finite-size scaling techniques. Using a histogram method recently proposed by Ferrenberg and Swendsen, the finite-size…
Depinning and wetting in two-dimensional Potts and chiral clock models
The interplay of depinning and interfacial adsorption or wetting phenomena is studied for two-dimensional three-state Potts and chiral clock models where the variables on opposite boundaries are…
Monte Carlo simulation of the three-dimensional Potts model
The phase transition of the three-dimensional 3-state Potts model at zero field is investigated by a careful Monte Carlo analysis. The transition is found to be of first order. Fluctuations appear to…
Finite-size scaling of the three-state Potts model on a simple cubic lattice
Finite-size scaling is studied for the three-state Potts model on a simple cubic lattice. We show that the specific heat and the magnetic susceptibility scale accurately as the volume. The…
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