On the stochastic theory of adiabatic thermal explosion in small systems ? Numerical results

Abstract

The stochastic methods are applied for a description of adiabatic thermal explosion. The master equation is solved numerically for the system of 1000 molecules. The inverse reaction is neglected in our basic model, but we also study the case when this reaction is taken into account. For both models two maxima of probability distribution are observed for a certain period of time. It is shown that for low initial temperature the adiabatic thermal explosion is a process of high dispersion and the phenomenological description of this reaction can fail.