Self-sustained oscillations in a heterogeneous catalytic reaction: comparison of stochastic and deterministic simulations

The comparison of stochastic and deterministic approaches io the modelling of the selfsustained oscillations in the reaction of $\mathrm{CO}$ oxidation on a catalytic surface is fulfilled. The kinetic oscillations are caused by the lateral interactions between particles. It is shown that local surface regions consisting of a few thousands of adsorption sites can provide regular and irregular oscillations. The influence of the spontaneous fluctuations on the reaction dynamics is investigated. The cases of the qualitive disagreement between the results of stochastic and deterministic simulations are outlined.