UNIVERSALITY IN THE THREE-DIMENSIONAL HARD-SPHERE LATTICE GAS

@article{Yamagata1996UNIVERSALITYIT,
  title={UNIVERSALITY IN THE THREE-DIMENSIONAL HARD-SPHERE LATTICE GAS},
  author={Atsushi Yamagata},
  journal={Physica A-statistical Mechanics and Its Applications},
  year={1996},
  volume={231},
  pages={495-498}
}
  • A. Yamagata
  • Published 2 February 1996
  • Physics
  • Physica A-statistical Mechanics and Its Applications
6 Citations
High-dimensional lattice gases
We investigate the critical behaviour of hard-core lattice gases in four, five and six dimensions by means of Monte Carlo simulations. In order to suppress critical slowing down, we use a geometrical
Cluster Simulation of Lattice Gases
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A single-cluster algorithm for lattice gases with nearest neighbour-exclusion is formulated, in the absence of further neighbor interactions, to derive statistically accurate finite-size data for lattices with nearest-neighbor exclusion on the simple-cubic and body-centered- cubic lattices.
Density functional theory for nearest-neighbor exclusion lattice gases in two and three dimensions.
  • L. Lafuente, J. Cuesta
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    Physical review. E, Statistical, nonlinear, and soft matter physics
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TLDR
Dimensional crossover is shown, which connects, for instance, the parallel hard cube system (three dimensional) with that of squares (two dimensional) and rods (one dimensional), and it is shown here that there are many more connections which can be established in this way.
Simultaneous analysis of several models in the three-dimensional Ising universality class.
  • Youjin Deng, H. Blöte
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2003
TLDR
This work investigates several three-dimensional lattice models believed to be in the Ising universality class by means of Monte Carlo methods and finite-size scaling, and analyzes all the data simultaneously such that the universal parameters occur only once, leading to an improved accuracy.

References

SHOWING 1-10 OF 42 REFERENCES
The non-interacting hard-square lattice gas: Ising universality
The critical exponents of the non-interacting hard-square lattice gas model are determined by means of series analysis and finite-size scaling. The series analysis leads to results for the exponents
Exact Finite Method of Lattice Statistics. II. Honeycomb‐Lattice Gas of Hard Molecules
Thermodynamic properties have been obtained using the matrix method for a two‐dimensional honeycomb‐lattice gas of hard molecules which prevent simultaneous occupancy of nearest‐neighbor sites. Exact
Hard-square lattice gas
We have studied the hard-square lattice gas, using corner transfer matrices. In particular, we have obtained the first 24 terms of the high-density series for the order parameterρ2−ρ1. From these we
Vertex models for the hard-square and hard-hexagon gases, and critical parameters from the scaling transformation
In a general formulation of hard-core lattice gas models the hard-square and hard-hexagon models are expressed in terms of vertex models. It is shown that the hard-square gas is a 16-vertex model on
Exact Finite Method of Lattice Statistics. I. Square and Triangular Lattice Gases of Hard Molecules
A general, feasible approach is presented for the evaluation of the statistical thermodynamics of interacting lattice gases. Exact solutions are obtained for lattice systems of infinite length and
Hard‐Sphere Lattice Gases. II. Plane‐Triangular and Three‐Dimensional Lattices
Exact low‐density and high‐density series are derived for the plane‐triangular (pt) lattice gas, and in three dimensions, for the simple cubic (sc) and body‐centered cubic (bcc) lattice gases, with
Hard‐Sphere Lattice Gases. I. Plane‐Square Lattice
A plane‐square lattice gas of hard ``squares'' which exclude the occupation of nearest‐neighbor sites is studied by deriving 13 terms of the activity and the virial series and nine terms of
Phase Transition of a Hard‐Core Lattice Gas. The Square Lattice with Nearest‐Neighbor Exclusion
TLDR
This work considers an M×N periodic system of hard squares each of which prohibits the occupation of its nearest‐neighbor sites by the other squares, and indicates the possible existence of an order—disorder transition for a system infinite in both dimensions.
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