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Using Monte Carlo Simulation and fundamental measure theory we study the phase diagram of a two-dimensional lattice gas model with a nearest neighbor hard core exclusion and a next-to-nearest neighbors finite repulsive interaction. The…

Soft Condensed Matter · Physics 2012-02-02 Noe G. Almarza , Jose A. Capitan , Jose A. Cuesta , Enrique Lomba

We study the phase diagram of an electron on a square lattice in a transverse magnetic field. Using a renormalization scheme, we show that the inequality of the two next-nearest neighbor couplings destroys the fat critical regime above the…

Condensed Matter · Physics 2007-05-23 Jukka A. Ketoja , Indubala I. Satija

Using Monte Carlo simulation, Van Duijneveldt and Lekkerkerker [Phys. Rev. Lett. 71, 4264 (1993)] found gas-liquid-solid behaviour in a simple two-dimensional lattice model with two types of hard particles. The same model is studied here by…

Statistical Mechanics · Physics 2009-10-31 Alain Verberkmoes , Bernard Nienhuis

We discuss applications of statistical-mechanical lattice-gas models to study static and dynamic aspects of electrochemical adsorption. The strategy developed to describe specific systems includes microscopic model formulation, calculation…

Condensed Matter · Physics 2007-05-23 Per Arne Rikvold , Gregory Brown , M. A. Novotny , Andrzej Wieckowski

We present two recent applications of lattice-gas modeling techniques to electrochemical adsorption on catalytically active metal substrates: urea on Pt(100) and (bi)sulfate on Rh(111). Both involve the specific adsorption of small…

Condensed Matter · Physics 2009-10-22 P. A. Rikvold , M. Gamboa-Aldeco , J. Zhang , M. Han , Q. Wang , H. L. Richards , A. Wieckowski

The system under study is a twin-layered square lattice gas at half-filling, being driven to non-equilibrium steady states by a large, finite `electric' field. By making intra-layer couplings unequal we were able to extend the phase diagram…

Statistical Mechanics · Physics 2009-10-31 Choon-Peng Chng , Jian-Sheng Wang

We study the phase diagram of the three-dimensional SU(3)+adjoint Higgs theory with lattice Monte Carlo simulations. A critical line consisting of a first order line, a tricritical point and a second order line, divides the phase diagram…

High Energy Physics - Lattice · Physics 2010-02-03 K. Kajantie , M. Laine , A. Rajantie , K. Rummukainen , M. Tsypin

The theory of statistical-mechanical lattice-gas modeling of adsorption is reviewed and shown to be applicable to a range of electrochemical problems dominated by effective, lateral adsorbate--adsorbate interactions. A general strategy for…

Condensed Matter · Physics 2007-05-23 P. A. Rikvold , J. Zhang , Y. -E. Sung , A. Wieckowski

The 4D compact U(1) gauge theory has a well-established phase transition between a confining and a Coulomb phase. In this paper, we revisit this model using state-of-the-art Monte Carlo simulations on anisotropic lattices. We map out the…

High Energy Physics - Lattice · Physics 2024-04-25 Rafael C. Torres , Nuno Cardoso , Pedro Bicudo , Pedro Ribeiro , Paul McClarty

We study a very simple model of a short-range attraction and an outer shell repulsion as a test system for demixing phase transition and density anomaly. The phase-diagram is obtained by applying mean field analysis and Monte Carlo…

Statistical Mechanics · Physics 2016-08-31 Alan B. de Oliveira , Marcia C. Barbosa

We present a comprehensive study of the lattice restricted primitive model, i.e., a lattice gas consisting of an equal number of positively and negatively charged particles interacting via on-site exclusion and a 1/r potential. On the cubic…

Statistical Mechanics · Physics 2009-10-31 Ronald Dickman , George Stell

We investigate the one-dimensional(1D) d-p model, simulating a Cu-O linear chain with strong Coulomb repulsion, by using the numerical diagonalization method. Using the Luttinger liquid theory, we obtained phase diagrams of the ground state…

Condensed Matter · Physics 2016-08-14 Kazuhiro Sano , Yoshiaki Ōno

Numerical studies of lattice-gas models are well suited to describe multi-adsorbate systems. One example is the underpotential deposition of Cu on Au(111) in the presence of sulfuric acid. Preliminary results from dynamic Monte Carlo…

Statistical Mechanics · Physics 2009-09-25 Gregory Brown , Per Arne Rikvold , M. A. Novotny , Andrzej Wieckowski

Alkaline-earth and ytterbium cold atomic gases make it possible to simulate SU(N)-symmetric fermionic systems in a very controlled fashion. Such a high symmetry is expected to give rise to a variety of novel phenomena ranging from molecular…

Quantum Gases · Physics 2016-03-01 S. Capponi , P. Lecheminant , K. Totsuka

We study the U(2) lattice gauge theory in the pure gauge sector using the simplest action, with determinant and fundamental terms, having the naive continuum limit of SU(2)$\times$U(1). We determine part of the phase diagram of the model…

High Energy Physics - Lattice · Physics 2009-09-25 Claude Roiesnel

We obtain the phase diagram of the hard core lattice gas with third nearest neighbor exclusion on the triangular lattice using Monte Carlo simulations that are based on a rejection-free flat histogram algorithm. In a recent paper [J. Chem.…

Statistical Mechanics · Physics 2022-01-05 Asweel Ahmed A. Jaleel , Dipanjan Mandal , R. Rajesh

We discuss a phase diagram for a relativistic SU(2) x U_{S}(1) lattice gauge theory, with emphasis on the formation of a parity-invariant chiral condensate, in the case when the $U_{S}(1)$ field is infinitely coupled, and the SU(2) field is…

High Energy Physics - Lattice · Physics 2016-08-25 K. Farakos , N. E. Mavromatos , D. McNeill

A two dimensional lattice gas model with ''core-softened'' potential is investigated. Two liquid phases and density anomaly are found. The demixing phase transition between the two liquid phases end at a tricritical point that is also the…

Statistical Mechanics · Physics 2009-11-10 Aline Lopes Balladares , Marcia C. Barbosa

We report ground-state calculations and Monte Carlo simulations for a lattice-gas model of the underpotential deposition of copper on Au(111) in sulfate-containing electrolytes. In a potential range of approximately 100$\sim$150 mV, this…

Condensed Matter · Physics 2016-08-31 J. Zhang , P. A. Rikvold , Y. -E. Sung , A. Wieckowski

We consider a lattice-gas model with an infinite range pairwise noncovex interaction. It might be relevant, for example, for adsorption of alkaline elements on W(112) and Mo(112). We study a competition between the effective dipole-dipole…

Condensed Matter · Physics 2009-10-28 Cz. Oleksy , J. Lorenc
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