In many industrial applications one aims for efficient chemical reactions, for example in a continuous stirred tank reactor.
We model and analyze mixing processes of chemical substances by a transfer operator method. In practice, we represent fluids by density vectors. These are evolved by means of a stochastic transition matrix, which is obtained as a numerical approximation of a transfer operator. In a further step, we model the reaction of the fluids by specific update rules of the density vectors. We consider closed and open example systems and study different chemical processes such as competitive consecutive reactions.