Effect of lattice coarsening and exclusion on phase-transition properties of the Bell–Lavis model

@article{imnas2014EffectOL,
  title={Effect of lattice coarsening and exclusion on phase-transition properties of the Bell–Lavis model},
  author={Mantas {\vS}imėnas and Andrius Ibenskas and Evaldas E. Tornau},
  journal={Phase Transitions},
  year={2014},
  volume={88},
  pages={833 - 842}
}
The temperature and order of the phase transition are studied for a less-coarsened Bell–Lavis model. The interactions exist between triangular molecules being on third-neighbour (3NN) sites, while the nearest-neighbour (1NN) interactions are subject to a hard core exclusion. Using Monte Carlo calculations, we obtain the temperature, and chemical potential phase diagram for a whole range of values, where the honeycomb phase exists. We find that the entropy gain prevails at low molecular… 
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References

SHOWING 1-10 OF 23 REFERENCES
Phase transition properties of Bell-Lavis model
Using Monte Carlo calculations we analyze the order and the universality class of phase transitions into a low density (honeycomb) phase of a triangular antiferromagnetic three-state Bell-Lavis
Antiferromagnetic triangular Blume-Capel model with hard-core exclusions.
TLDR
Finite-size scaling analysis reveals that in these models, the transition from the paramagnetic to long-range order (LRO) AFM phase is either of the first order or goes through an intermediate phase which might be attributed to the Berezinskii-Kosterlitz-Thouless (BKT) type.
Phase transitions in a triangular Blume-Capel antiferromagnet
We study the critical behavior of a frustrated Blume-Capel (BC) antiferromagnet on a triangular lattice by Monte Carlo simulations. For a reduced single-ion anisotropy strength $-1.47 \lesssim d < 0$
Frustration and anomalous behavior in the Bell-Lavis model of liquid water.
TLDR
The Bell-Lavis model of liquid water is reconsidered and its relation to its isotropic version, the antiferromagnetic Blume-Emery-Griffiths model on the triangular lattice is investigated, showing that the ground states of both models share the same topology.
Ordered assemblies of triangular-shaped molecules with strongly interacting vertices: phase diagrams for honeycomb and zigzag structures on triangular lattice.
TLDR
The model for ordering of triangular-shaped molecules with strongly interacting vertices is proposed and solved by the Monte Carlo method and the effect of frustration on the phase diagram is studied, since the frustrated phase is obtained at the Ising limit of the model.
Phase diagram of subphtalocyanine ordering on Ag(111).
TLDR
It is demonstrated that the driving force of the ordering into honeycomb and hexagonal close packed patterns is a balance of intermolecular and subphtalocyanine-Ag interactions which can be generally expressed by a potential with infinite exclusion in a sufficiently large number of nearest coordination spheres of Ag(111) lattice and oscillatingly decaying behavior outside the sphere of exclusion.
Statistical model for self-assembly of trimesic acid molecules into homologous series of flower phases.
TLDR
It is found that phase transitions from disordered to any of the flower phases (except n=1) undergo via intermediate correlated triangular domains structure, and the transition from the disordered phase to the intermediate phase is, most likely, of the first order, while the Transition from the intermediate to the flower phase is definitely first order phase transition.
Critical behavior of the six-state clock model in two dimensions.
  • Challa, Landau
  • Physics
    Physical review. B, Condensed matter
  • 1986
TLDR
An intermediate XY-like phase between a low-temperature ordered phase and a high-tem temperature disordered phase is found in the q=6 clock (vector Potts) model in two dimensions through Monte Carlo simulations.
Ordering, metastability and phase transitions in two-dimensional systems
A new definition of order called topological order is proposed for two-dimensional systems in which no long-range order of the conventional type exists. The possibility of a phase transition
A model of melamine molecules ordering on metal surfaces.
TLDR
The model of melamine molecules ordering into planar honeycomb and closed packed phases and the version of the antiferromagnetic Blume-Capel model with some exclusions to account for the "side-to-side" melamine-melamine molecular interactions is proposed.
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2
3
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