Campus Units
Mathematics, Ames Laboratory
Document Type
Article
Publication Date
5-1998
Journal or Book Title
Physical Review E
Volume
57
Issue
5
First Page
5087
Last Page
5094
DOI
10.1103/PhysRevE.57.5087
Abstract
For finite adspecies mobility, the lattice-gas monomer-dimer (A+B2) surface reaction model exhibits a discontinuous transition from a stable reactive steady state to a stable A-poisoned steady state, as the impingement rate PA for A increases above a critical value P*. The reactive (poisoned) state is metastable for PA just above (below) P*. Increasing the surface mobility of Aenhances metastability, leading to bistability in the limit of high mobility. In the bistable region, the more stable state displaces the less stable one separated from it by a planar interface, with P*becoming the equistability point for the two states. This hydrodynamic regime can be described by reaction-diffusion equations (RDE’s). However, for finite reaction rates, mixed adlayers of A and Bare formed, resulting in a coverage-dependent and tensorial nature to chemical diffusion (even in the absence of interactions beyond site blocking). For equal mobility of adsorbed A and B, and finite reaction rate, the prediction for P* from such RDE’s, incorporating the appropriate description of chemical diffusion, is shown to coincide with that from kinetic Monte Carlo simulations for the lattice-gas model in the regime of high mobility. Behavior for this special case is compared with that for various other prescriptions of mobility, for both finite and infinite reaction rates.
Copyright Owner
American Physical Society
Copyright Date
1998
Language
en
File Format
application/pdf
Recommended Citation
Tammaro, M. and Evans, James W., "Hydrodynamic limits for the monomer-dimer surface reaction: Chemical diffusion, wave propagation, and equistability" (1998). Mathematics Publications. 26.
https://lib.dr.iastate.edu/math_pubs/26
Comments
This article is from Physical Review E 57 (1998): 5087, doi: 10.1103/PhysRevE.57.5087.