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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

We study by kinetic Monte Carlo simulations the dynamic behavior of a Ziff-Gulari-Barshad model with CO desorption for the reaction CO + O $\to$ CO$_2$ on a catalytic surface. Finite-size scaling analysis of the fluctuations and the…

Statistical Mechanics · Physics 2009-11-10 E. Machado , G. M. Buendia , P. A. Rikvold

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 present a study of the dynamical behavior of a Ziff-Gulari-Barshad model with CO desorption and lateral diffusion. Depending on the values of the desorption and diffusion parameters, the system presents a discontinuous phase transition…

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

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

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 present a kinetic Monte Carlo study of the dynamical response of a Ziff-Gulari-Barshad model for CO oxidation with CO desorption to periodic variation of the CO presure. We use a square-wave periodic pressure variation with parameters…

Statistical Mechanics · Physics 2009-11-10 Erik Machado , Gloria M. Buendia , Per Arne Rikvold , Robert M. Ziff

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 dynamic behavior of the Ziff-Gulari-Barshad (ZGB) irreversible surface-reaction model around its kinetic second-order phase transition, using both epidemic and poisoning-time analyses. We find that the critical point is given…

Condensed Matter · Physics 2009-10-30 Christopher A. Voigt , Robert M. Ziff

The effects of locally random magnetic fields are considered in a nonequilibrium Ising model defined on a square lattice with nearest-neighbors interactions. In order to generate the random magnetic fields, we have considered random…

Statistical Mechanics · Physics 2009-11-13 N. Crokidakis

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

The d-dimensional complex Ginzburg-Landau (GL) model is solved according to a variational method by separating phase and amplitude. The GL transition becomes first order for high superfluid density because of effects of phase fluctuations.…

Statistical Mechanics · Physics 2009-10-31 Philippe Curty , Hans Beck

We study an intrinsic curvature model defined on fixed-connectivity triangulated lattices enclosing a spherical core by using the canonical Monte Carlo simulation technique. We find that the model undergoes a discontinuous transition of…

Statistical Mechanics · Physics 2015-05-28 Hiroshi Koibuchi

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

Extensive Monte Carlo simulations are performed in order to evaluate both the local ($\theta_{l}$) and global ($\theta_{g}$) persistence exponents in the Ziff-Gulari-Barshad (ZGB) (Phy. Rev. Lett. {\bf 56}, 2553, (1986)) irreversible…

Condensed Matter · Physics 2009-10-31 Ezequiel Albano , Miguel A. Munoz

The effect of inclusion of higher-order interactions in the {\it XY} model on critical properties is studied by Monte Carlo simulations. It is found that an increasing number of the higher-order terms in the Hamiltonian modifies the shape…

Statistical Mechanics · Physics 2018-05-07 Milan Žukovič

It is believed at present that the chiral transition changes from a smooth crossover to a first-order transition at low temperatures and high densities. Such regime is commonly analyzed using effective models since first principle…

Nuclear Theory · Physics 2025-11-20 R. M. Aguirre

We study first-order phase transitions in continuum Gibbs point processes with saturated interactions. These interactions form a broad class of Hamiltonians in which the local energy in regions of high particle density depends only on the…

Probability · Mathematics 2026-02-12 David Dereudre , Christopher Renaud-Chan

We investigate the one-dimensional finite-size XY model with opposing surface fields in the X direction. Exact solutions are obtained for the two-site and three-site models, while numerical methods are employed for models with more than…

Statistical Mechanics · Physics 2023-11-03 Xintian Wu

We show that the tethered surface model of Helfrich and Polyakov-Kleinert undergoes a first-order phase transition separating the smooth phase from the crumpled one. The model is investigated by the canonical Monte Carlo simulations on…

Soft Condensed Matter · Physics 2009-11-11 Hiroshi Koibuchi , Toshiya Kuwahata
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