A stochastic approach to surface reactions including energetic interactions: II. Application to the A + 1/2B₂ → 0 reaction

We study a stochastic model for the A+ 1/2B₂ → 0 reaction with energetic interactions between the particles. The reaction system includes adsorption, desorption, reaction and diffusion steps which depend on energetic interactions. The temporal evolution of the system is described by master equations using the Markovian behaviour of the system. We study the system behaviour at different values of the energetic parameters and at varying diffusion and desorption rates. The location and the character of the phase transition points will be discussed in detail. The role of the constants used in situ mean field theories such as kinetic constants etc are discussed in view of the new theories. All such constants, if they are at all meaningful, are functions of correlation functions and not constants. This has important implications for the analysis of experiments.