Externally driven fluctuation of concentration in the second-order chemical reaction and the dynamic fluctuation increase

Abstract

The second-order chemical reaction A + B ⇄ C under the condition of [A] > [B] with fluctuating [B] driven by an external source is considered as an extension of our previous study with special references to the anomalous fluctuation increase in the transient stage by solving the Fokker-Planck equation numerically. The fluctuation increase is found to become strong for a large initial concentration of B independent of the initial [A]. For fixed initial values of [B] and [C], large initial [A] leads to a significant fluctuation increase.