Exact Turbulence Correction to Arrhenius' Law in the Asymptotic Limit of High Activation Energy

摘要

An exact solution of simultaneous integral equations is obtained for the turbulence-corrected Arrhenius law in the asymptotic limit of high activation energy. The reaction rate is shown to be bimodal, namely, having the form of arithmetic means of two Arrhenius formulae corresponding to temperatures higher and lower than the average by the root-mean-square of the fluctuation. This formula explains experimental evidence of speeding up the reaction rate beyond the value calculated by first order perturbation of the turbulence intensity. Also, turbulence is shown to play the role of selective enhancement only for reactions with a high energy barrier.