Critical One-Dimensional Absorption-Desorption with Long-Ranged Interaction

An absorption-desorption model with long-ranged interaction is simulated by the dynamic Monte Carlo method.The dynamic process has an inert phase and an active phase that is controlled by the absorption rate.In the active phase,the number of vacancies increases with time exponentially,while in the inert phase the vacant sites will be occupied by adsorbates rapidly.At the critical absorption rate,both the number of vacancies and the time-depending active probability exhibit power-law behavior.We determine the critical absorption rate and the scaling exponents of the power-laws.The effect of the interaction range of desorption on the critical exponents is investigated.In the short-ranged interaction limit, the critical exponents of Schlogl’s first model are recovered.The model may describe the sta bility of the inner Helmholtz layer,an essential component of the electrochemical double-layer capacitor at a nanowire.