Examples of the standard model

We would like to demonstrate now the flexibility of the standard model. We introduce a model which includes mono- and bimolecular steps as discussed in Section 9.1.1. The previous model assumed no energetic interactions. By introducing the model described in this Section for an empty lattice we must obtain the previous model, which will be shown in this Section. 

Let us begin with the monomolecular steps like the creation of a particle A with the rate P 0 A) = p = pa T) and an annihilation process P(A - 0) = Aia = fcA(T) which is normally presented in the form /ca = ka exp(- A/( Br)) with the activation energy Ea and the frequency factor ka- In the following we use the abbreviation 0 f for the empty neighbourhood of site 1. For this case we obtain 

The last equality holds for p = const. Therefore our model can t ike into account the adsorption energy and also the frequency factor. 

Next we introduce the creation and annihilation process for a bimolecular step. In the previous model without energetic interactions discussed in Section 9.1.1 we have had the two-point transition rates K aian — Let us 

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