Journal Article10.1103/PHYSREVA.44.8388
Simulations of a monomer-dimer catalysis model on a Sierpinski gasket
A. Y. Tretyakov,Hideki Takayasu +1 more
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TL;DR: Results of numerical simulations for a generalized monomer-dimer catalysis model on a Sierpinski gasket indicate the existence of a steady-state region, which is much thinner than in the case of the two-dimensional square lattice, although the shape of the phase diagram is the same.
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Abstract: We report results of numerical simulations for a generalized monomer-dimer catalysis model on a Sierpinski gasket. We indicate the existence of a steady-state region, which is much thinner than in the case of the two-dimensional square lattice, although the shape of the phase diagram is the same. In the adsorption-limited case the critical exponents are in good agreement with those obtained for two dimensions. The critical dimension for the monomer-dimer catalysis model is inferred to be 1.
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Citations
A model for the catalytic oxidation of CO on fractal lattices
J. Mai,A. Casties,W. von Niessen +2 more
TL;DR: In this article, a simple model for the catalytic oxidation of CO on fractal lattices is studied via Monte Carlo simulations, and it is shown that this reaction model belongs to the universality class of the Reggeon field theory.
41
A Monte Carlo simulation of the CO oxidation on probabilistic fractals
A. Casties,J. Mai,W. von Niessen +2 more
TL;DR: In this paper, a model of the CO oxidation on percolation clusters which represent the surface of a system in the Monte Carlo simulation is presented, and the influence of the occupation probability p for generating a spanning cluster on the underlying square lattice, of the diffusion of CO and of the lattice size on the value and the character of the kinetic phase transitions is studied.
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A Monte Carlo simulation for the catalytic oxidation of CO on DLA clusters
J. Mai,A. Casties,W. von Niessen +2 more
TL;DR: In this article, a Monte Carlo simulation for the heterogeneously catalyzed oxidation of CO on diffusion limited aggregation clusters is introduced, and the strong influence of the lattice structure is discussed in detail.
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Boundary effects in a surface reaction model for CO oxidation
TL;DR: In this article, the surface reaction model of Ziff, Gulari, and Barshad (ZGB) was investigated on finite systems with hard oxygen boundary conditions and the rate of production of CO2 was calculated as a function of y and system size.
19
The monomer-trimer and dimer-trimer superficial reactions on geometrically disordered substrates
Joaquín Cortés,Eliana Valencia +1 more
TL;DR: In this paper, a Monte Carlo study is made of monomer-linear trimer, monomerbent trimer and dimerlinear trimers surface reactions on substrates made of percolation clusters having varying degrees of surface disorder.
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References
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TL;DR: In this paper, an irreversible kinetic surface-reaction model based on the reaction of carbon monoxide and oxygen on a catalyst surface was presented, and it was found by computer simulation that the adsorbed molecules on the surface undergo both first-and second-order kinetic phase transitions.
1K
A nonequilibrium tricritical point in the monomer-dimer catalysis model
TL;DR: In this paper, the authors generalize the monomer-dimer model of heterogeneous catalysis to allow variable reaction and adsorption rates and show that a steady state exists for a narrowing range of relative deposition rate of dimers to monomers as the reaction rate decreases.
Saturation transition in a monomer-monomer model of heterogeneous catalysis
TL;DR: In this article, the authors investigated the kinetics of an irreversible monomer-monomer model of heterogeneous catalysis in a mean-field approximation, where the catalytic substrate is considered to be an N-site complete graph.
Simple models for heterogeneous catalysis: Phase transition‐like behavior in nonequilibrium systems
Paul Meakin,Douglas J. Scalapino +1 more
TL;DR: In this article, the authors extended the work of ZGB to the hexagonal lattice and obtained approximate values for the exponents which describe the dependence of the steadystate densities of A and B sites on (Y−Y1).