Statistical analysis of kinetics of an adiabatic thermal explosion

Stochastic phenomena in the kinetics of chemical reactions induced by a thermal explosion are studied. The statistical analysis is performed on the basis of nonlinear differential equations for gas temperature and concentration of reacting particles with random initial conditions, and also corresponding equations for the probability density function of the state variables of the system. The results of the numerical solution of these equations are presented in the graphical form as a statistical set of an ensemble of kinetic curves of concentration of reacting particles and gas temperature and as the time evolution of their probability density function. Small random fluctuations of gas temperature and particle concentration at the beginning of the reaction are demonstrated to induce significant fluctuations of the induction period.