Determination of the relative degree of order in a chain of diffusion-linked self-oscillators simulating peristalsis of thin tubules according to the S-theorem criterion

The criterion of the relative degree of order (RDO) on the basis of the S-theorem for a non-equilibrium system is applied to the analysis of the state of a chain of diffusion-linked self-oscillators, a system which models the peristalsis of thin tubules, e.g. in a biological tissue, as well as a number of physicochemical systems. It is shown that the calculation of the RDO and of the effects of various actions on a non-equilibrium system can be carried out efficiently without any knowledge of the details of the local kinetics of the diffusion-link chain, said calculation being exploited for evaluating such effects just on the basis of experimental data.