scholarly journals Phase behavior of hard-core lattice gases: A fundamental measure approach

2003 ◽  
Vol 119 (20) ◽  
pp. 10832-10843 ◽  
Author(s):  
Luis Lafuente ◽  
José A. Cuesta
Keyword(s):  
Phase Behavior ◽  
Hard Core ◽  
Lattice Gases

Monte Carlo Simulations of Lattice Gases Exhibiting Quantum Statistical Distributions

1991 ◽  
Vol 02 (01) ◽  
pp. 450-454 ◽  
Author(s):  
R. PRZENIOSŁO ◽  
T. BARSZCZAK ◽  
R. KUTNER ◽  
W. GUZICKI ◽  
W. RENZ
Keyword(s):  
Lattice Gas ◽  
Equilibrium Distribution ◽  
Hard Core ◽  
Boltzmann Distribution ◽  
Lattice Gases ◽  
Statistical Distributions ◽  
Order Preservation ◽  
Preservation Condition ◽  
Bose Einstein ◽  
Numerical And Analytical Methods

A non-interacting lattice gas with order preservation in a constant external field is studied by numerical and analytical methods. The equilibrium distribution is of the Bose-Einstein type. If additional hard-core repulsion is imposed, it becomes a distribution of Fermi-Dirac type. When relaxing the order preservation condition the classical Boltzmann distribution is recovered.

Phase behavior of disklike hard-core mesogens

1992 ◽  
Vol 45 (8) ◽  
pp. 5632-5648 ◽  
Author(s):  
J. A. C. Veerman ◽  
D. Frenkel
Keyword(s):  
Phase Behavior ◽  
Hard Core

Percolation in hard-core lattice gases and a model ferrofluid

1985 ◽  
Vol 38 (5-6) ◽  
pp. 809-821 ◽  
Author(s):  
J�rg Fr�hlich ◽  
Dale A. Huckaby
Keyword(s):  
Hard Core ◽  
Lattice Gases

scholarly journals Monte Carlo simulations of two-dimensional hard core lattice gases

2007 ◽  
Vol 126 (11) ◽  
pp. 114508 ◽  
Author(s):  
Heitor C. Marques Fernandes ◽  
Jeferson J. Arenzon ◽  
Yan Levin
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Hard Core ◽  
Lattice Gases ◽  
Two Dimensional

scholarly journals Ultracold Bosons on a Regular Spherical Mesh

Entropy ◽  
2020 ◽  
Vol 22 (11) ◽  
pp. 1289
Author(s):  
Santi Prestipino
Keyword(s):  
Phase Behavior ◽  
Quantum System ◽  
Mean Field ◽  
Ground States ◽  
Hard Core ◽  
Temperature Phase ◽  
Zero Temperature ◽  
Hubbard Hamiltonian ◽  
The Mean ◽  
Theoretical Results

Here, the zero-temperature phase behavior of bosonic particles living on the nodes of a regular spherical mesh (“Platonic mesh”) and interacting through an extended Bose-Hubbard Hamiltonian has been studied. Only the hard-core version of the model for two instances of Platonic mesh is considered here. Using the mean-field decoupling approximation, it is shown that the system may exist in various ground states, which can be regarded as analogs of gas, solid, supersolid, and superfluid. For one mesh, by comparing the theoretical results with the outcome of numerical diagonalization, I manage to uncover the signatures of diagonal and off-diagonal spatial orders in a finite quantum system.

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