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Cited by 1,006 publications
(685 citation statements)
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References 15 publications
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“…Monte Carlo simulations [1] reveal that the model exhibits two phase transitions. For Y < y 1 = 0.391 the lattice eventually poisons with O while for Y > y 2 = 0.5256 it poisons with CO. For y 1 < Y < y 2 the system attains a reactive steady state.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…Monte Carlo simulations [1] reveal that the model exhibits two phase transitions. For Y < y 1 = 0.391 the lattice eventually poisons with O while for Y > y 2 = 0.5256 it poisons with CO. For y 1 < Y < y 2 the system attains a reactive steady state.…”
Section: Introductionmentioning
confidence: 99%
“…The Ziff-Gullari-Barshard(ZGB) model [1] for the oxidation of carbon monoxide (CO) on a catalytic surface exhibits phase transitions between an active steady state and absorbing or "poisoned" states, in which the surface is saturated either by oxygen (O) or by CO. This model and its variants have stimulated much interest; many studies of the ZGB model have been published using deterministic mean-field equations [2,3,4] and Monte Carlo simulations.…”
Section: Introductionmentioning
confidence: 99%
“…Particularly, these are irreversible phase transitions (IPR). Since the pioneering work of Schlögl [15] and Ziff, Gulari and Barshad [16], many other catalytic reaction models appeared in literature [17].…”
Section: Introductionmentioning
confidence: 99%
“…Models with depinning transitions illustrate this fact, as will be shown in the next sections. Other important examples are forest-fire models [29] and models of catalytic reactions [30]. This observation led Janssen and Grassberger [31,32] to conjecture that a model should belong to the DP class if it obeys the following conditions: 1) the model displays a continuous transition from a fluctuating active phase into a unique absorbing state; 2) the transition is characterized by a positive one-component order parameter; 3) the dynamical rules involve only short-range processes; 4) the system has no special attributes, such as additional symmetries or quenched randomness.…”
Section: B Phase Transitions In Systems With Absorbing Statesmentioning
confidence: 99%