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1993

Biological and Chemical Physics

Physics and Astronomy Publications

Articles 1 - 3 of 3

Full-Text Articles in Physics

Zgb Surface Reaction Model With High Diffusion Rates, James W. Evans Jan 1993

Zgb Surface Reaction Model With High Diffusion Rates, James W. Evans

Physics and Astronomy Publications

The diffusionless ZGB (monomer–dimer) surface reaction model exhibits a discontinuous transition to a monomer‐poisoned state when the fraction of monomer adsorption attempts exceeds 0.525. It has been claimed that this transition shifts to 2/3 with introduction of rapid diffusion of the monomerspecies, or of both species. We show this is not the case, 2/3 representing the spinodal rather than the transition point. For equal diffusion rates of both species, we find that the transition only shifts to 0.5951±0.0002.


Kinetics Of The Monomer-Monomer Surface Reaction Model, James W. Evans, T. R. Ray Jan 1993

Kinetics Of The Monomer-Monomer Surface Reaction Model, James W. Evans, T. R. Ray

Physics and Astronomy Publications

The two-dimensional monomer-monomer (AB) surface reaction model without diffusion is considered for infinitesimal, finite, and infinite reaction rates k. For equal reactant adsorption rates, in all cases, simulations reveal the same form of slow poisoning, associated with clustering of reactants. This behavior is also the same as that found in simulations of the two-dimensional voter model studied in interacting-particle systems theory. The voter model can also be obtained from the dimer-dimer or monomer-dimer surface reaction models with infinitesimal reaction rate. We provide a detailed elucidation of the slow poisoning kinetics via an analytic treatment for the k=0+ AB reaction ...


The Car‐Parking Limit Of Random Sequential Adsorption: Expansions In One Dimension, M. C. Bartelt, James W. Evans, M. L. Glasser Jan 1993

The Car‐Parking Limit Of Random Sequential Adsorption: Expansions In One Dimension, M. C. Bartelt, James W. Evans, M. L. Glasser

Physics and Astronomy Publications

We consider the irreversible random sequential adsorption of particles taking ksites at a time, on a one‐dimensional lattice. We present an exact expansion for the coverage, θ(t,k)=A0(t)+A1(t)k−1+A2(t)k−2+..., for times, 0≤tO(k), and at saturation t=∞. The former is new and the latter extends Mackenzie’s results [J. Chem. Phys. 37, 723 (1962)]. For these expansions, we note that the coefficients Ai≥1(∞) are not obtained as large‐t limits of the Ai≥1(t). Finally, we comment on the ...