From atomistic lattice-gas models for surface reactions to hydrodynamic reaction-diffusion equations

Area of Science:

• Surface science
• Chemical kinetics
• Computational chemistry

Background:

• Atomistic lattice-gas models excel at describing spatial correlations and ordering in chemisorbed layers.
• A key challenge is modeling the hydrodynamic regime characterized by rapid diffusion of reactant adspecies.
• Existing models struggle to accurately capture the spatiotemporal dynamics in these systems.

Purpose of the Study:

• To develop exact reaction-diffusion equations (RDEs) for modeling surface reactions.
• To enable accurate description of mesoscale spatial pattern formation in surface reactions.
• To address the challenge of simulating rapid diffusion in chemisorbed layers.

Main Methods:

• Formulation of exact reaction-diffusion equations (RDEs) based on atomistic lattice-gas models.
• Detailed analysis of chemical diffusion in mixed reactant adlayers.
• Development and application of novel hybrid and parallel simulation techniques.

Main Results:

• Successful derivation of RDEs that accurately describe mesoscale pattern formation.
• Demonstration of the ability to simulate spatiotemporal behavior in the hydrodynamic regime.
• Validation of hybrid and parallel simulation techniques for complex surface reaction modeling.

Conclusions:

• Exact RDEs provide a powerful tool for understanding surface reaction dynamics.
• The developed methods overcome limitations in simulating rapid adspecies diffusion.
• This work advances the computational modeling of surface phenomena and chemical kinetics.