An Introduction To Monte Carlo Simulations Of Surface Reactions

TL;DR

This paper introduces Monte Carlo simulation techniques for modeling surface reactions, covering theoretical foundations, algorithms, and applications in realistic systems, aimed at researchers in theoretical chemistry and spectroscopy.

Contribution

It provides a comprehensive derivation of Monte Carlo algorithms for surface reactions based on the lattice-gas model and Master Equation, including practical insights and applications.

Findings

Different Monte Carlo algorithms have distinct advantages and drawbacks.

Monte Carlo simulations can effectively model complex surface reaction kinetics.

The approach can be applied to realistic systems to study kinetic phenomena.

Abstract

These are lecture notes of a course that I gave to people doing research for their Ph.D. thesis in theoretical chemistry or spectroscopy. The course was given on December 9-13, 2002, in Han-sur-Lesse, Belgium. The lecture notes start with the lattice-gas model that is used to describe the reactions on a surface. I derive a Master Equation, which gives the evolution of this model. The Master Equation contains transition probabilities (or rate constants) for the reactions. I show how these transition probabilities can be obtained from quantum chemical calculations or from experiments. The Master Equation can be solved using several different Monte Carlo algorithms. I derive these algorithms, and show what their advantages and drawbacks are. I use a number of simple reaction systems to illustrate various possibilities that one has when modeling reactions on surfaces. Finally, I discuss more realistic systems to show what kind of kinetic phenomena can be studied with Monte Carlo simulations.