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In this work, we revisited the Ziff-Gulari-Barshad (ZGB) model to study its phase transitions and critical exponents through time-dependent Monte Carlo simulations. We used a method proposed recently to locate the non-equilibrium…

Statistical Mechanics · Physics 2016-08-31 Henrique A. Fernandes , Roberto da Silva , Eder D. Santos , Paulo F. Gomes , Everaldo Arashiro

A random distribution of inert sites is introduced in the Ziff-Gulari-Barshad model to study the phase transitions between active and poisoned states. The adsorption of ${\rm CO}$ and ${\rm O_2}$ molecules is not possible at the position of…

Statistical Mechanics · Physics 2007-05-23 Gilberto Luiz Hoenicke , Wagner Figueiredo

We study the behavior of the phase transitions of the Ziff-Gullari-Barshad (ZGB) model when the $CO$ molecules are adsorbed on the catalytic surface with a rate $y$ and desorbed from the surface with a rate $k$. We employ large-scale…

Statistical Mechanics · Physics 2018-09-19 Henrique A. Fernandes , Roberto da Silva , Aline Bernardi

We study by kinetic Monte Carlo simulations the catalytic oxidation of carbon monoxide on a surface in the presence of contaminants in the gas phase. The process is simulated by a Ziff-Gulari-Barshad (ZGB) model that has been modified to…

Chemical Physics · Physics 2012-04-03 G. M. Buendia , P. A. Rikvold

The Ziff-Gulari-Barshad (ZGB) model, a simplified description of the oxidation of carbon monoxide (CO) on a catalyst surface, is widely used to study properties of nonequilibrium phase transitions. In particular, it exhibits a…

Chemical Physics · Physics 2015-02-04 C. H. Chan , P. A. Rikvold

We studied in this work a modified version of the Ziff, Gulari and Barshad (ZGB) model in which the adsorption probabilities of CO and O2 are site dependent. We employed Monte Carlo simulations to determine the phase diagram of the model as…

Condensed Matter · Physics 2007-05-23 R. R. Fulco , B. C. S. Grandi

In this work, we present an extensive computational study on the Ziff-Gulari-Barshad (ZGB) model extended in order to include the spatial diffusion of oxygen atoms and carbon monoxide molecules, both adsorbed on the surface. In our…

Statistical Mechanics · Physics 2018-08-01 Roberto da Silva , Henrique Almeida Fernandes

We study by kinetic Monte Carlo simulations the dynamic behavior of a Ziff-Gulari-Barshad (ZGB) model for the catalytic oxidation of CO on a surface. It is well known that the ZGB model presents a continuous transition between an oxygen…

Mesoscale and Nanoscale Physics · Physics 2011-12-08 C. Ojeda , G. M. Buendia

We present a computational study of the dynamic behavior of a Ziff-Gulari-Barshad model of CO oxidation with CO desorption on a catalytic surface. Our results provide further evidence that below a critical desorption rate the model exhibits…

Materials Science · Physics 2007-05-23 E. Machado , G. M. Buendia , P. A. Rikvold , R. M. Ziff

In this work, we revisited the Ziff-Gullari-Barshad (ZGB) model in order to investigate its critical behavior when carbon monoxide (CO) molecules are allowed to desorb from the catalytic surface. As shown by several authors, when this kind…

Statistical Mechanics · Physics 2025-01-14 Henrique Almeida Fernandes , Roberto da Silva

The first-order irreversible phase transition (FOIPT) of the ZGB model [Ziff, Gulari, Barshad, Phys. Rev. Lett. \textbf{56} (1986) 2553] for the catalytic oxidation of carbon monoxide is studied numerically in the presence of a slowly…

Statistical Mechanics · Physics 2026-01-01 Ernesto S. Loscar

We present kinetic Monte Carlo simulations exploring the nonequilibrium phase diagram of a modified Ziff-Gulari-Barshad (ZGB) dynamic lattice-gas model for the catalytic oxidation of carbon monoxide (CO) on a surface. The modified model…

Statistical Mechanics · Physics 2015-02-03 Gloria Buendía , Per Arne Rikvold

We present results of kinetic Monte Carlo simulations of a modified Ziff-Gulari-Barshad model for the reaction CO+O --> CO_2 on a catalytic surface. Our model includes impurities in the gas phase, CO desorption, and a modification known to…

Materials Science · Physics 2013-07-26 G. M. Buendia , P. A. Rikvold

Results of large-scale Monte Carlo simulations of three-dimensional Ising models with edges and corners are reviewed. At the ordinary transition, angle dependent critical exponents are observed, whereas at the surface transition edge and…

Condensed Matter · Physics 2009-11-07 Michel Pleimling

In the literature of magnetic phase transitions, in addition to a critical point, existence of another special point has been discussed. This is related to the broadening of interface between two different ordering phases and is referred to…

Statistical Mechanics · Physics 2021-07-01 Nalina Vadakkayil , Sanat K. Singha , Subir K. Das

We propose an iterative proposal to estimate critical points for statistical models based on configurations by combing machine-learning tools. Firstly, phase scenarios and preliminary boundaries of phases are obtained by…

Disordered Systems and Neural Networks · Physics 2019-10-23 X. L. Zhao , L. B. Fu

This study addresses microstructure selection mechanisms in rapid solidification, specifically targeting the transition from cellular/dendritic to planar interface morphologies under conditions relevant to additive manufacturing. We use a…

We investigate the nonequilibrium roughening transition of a one-dimensional restricted solid-on-solid model by directly sampling the stationary probability density of a suitable order parameter as the surface adsorption rate varies. The…

Statistical Mechanics · Physics 2012-05-10 J. Ricardo G. Mendonça

Using kinetic Monte Carlo simulations, we study the effect of oscillatory kinetics due to surface reconstructions on Ziff-Gulari-Barshad (ZGB) model discontinuous phase transition. To investigate the transition, we do extensive finite size…

Statistical Mechanics · Physics 2012-01-17 I. Sinha , A. K. Mukherjee

Lattice models exhibit significant potential in investigating phase transitions, yet they encounter numerous computational challenges. To address these issues, this study introduces a Monte Carlo-based approach that transforms lattice…

Statistical Mechanics · Physics 2024-08-28 Yonglong Ding
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