A study is made of a stochastic model of particle kinetics on a one-dimensional lattice with inequivalent sites. Hard-core interactions between indistinguishable particles are incorporated by forbidding multiple occupancy of a site. An exact solution of the rate equations is obtained in the equivalent site limit. An analysis of the general case is carried out using the linearized rate equations. Approximate expressions for the conditional probabilities are derived and compared with the solutions obtained by numerical integration of the corresponding nonlinear equations. An alternative approach based on the master operator is also investigated.

• Received 24 September 1976

DOI:https://doi.org/10.1103/PhysRevB.15.533