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If only one sublattice is populated, except for randomly distributed “defects,” then the probability on the LHS of Eq. (6) equals the average of

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Let

Q_{+}

denote the probability that a dimer does not adsorb when a

B_{+}

is removed from the + sublattice (cf. Sec. V C). Then, the rate of loss of

B_{+}

due to monomer desorption equals

Q_{+} [B_{+}],

and the rate of gain due to dimer adsorption equals

{(1−Q}_{+})[B_{+}].

Thus, one has

{d/dt}^{'} [B_{+}]

{=(1−Q}_{+})[B_{+} {]−Q}_{+} [B_{+} {]=(1−2Q}_{+})[B_{+}].

This is the lowest order equation in an exact hierarchy.

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