Effects of temporal disorder in the continuous phase transition of a catalytic reaction system

We analyze through Monte Carlo simulations the continuous phase transition between the active and the absorbing phase of the ZGB model in the presence of temporal disorder. In order to employ the disorder we allow the control parameter to be time dependent, working as an environmental noise. We consider four different disorder strengths. Although the critical value of the control parameter does not shift as we change the disorder strength, the values of the static critical exponents ratio β/ν⊥ at the critical point are affected by the disorder. Same behavior is observed for different ratios between moments of the order parameter. Considering the time-dependent aspect we looked at the mean time required for the system to enter into the absorbing state. From this analysis we calculated the ratio ν∥/ν⊥ for different disorder strengths. As well as for the static scenario, the values are affected by the presence of temporal disorder. Besides, the mean lifetime of a sample scales generically as a power-law of the system size at criticality, and in the active phase, producing continuously varying critical values of the critical exponent ratio ν∥/ν⊥. •Catalytic reaction system under temporal disorder.•Active to absorbing phase transition.•Criticality affected by the presence of temporal disorder.•Static and dynamic critical behavior are affected by the presence of temporal disorder.