Abstract
Damage spreading (DS) introduces a new dynamic critical phenomenon in both an irreversible monomer-monomer (MM) reaction process and a MM process with one species desorption (MMD). For the MMD model the critical point of the frozen-chaotic transition and the order parameter critical exponent are determined. Also, at criticality the damage is healed according to a power-law decay with a characteristic exponent. For the MM (MMD) model the moments of the damage distribution probability exhibit multifractal (single gap) scaling behavior. DS on a dimer-monomer process (the Ziff-Gulari-Barshad model) is also studied.