The booklet includes the one on hand whole presentation of the mode-coupling concept (MCT) of complicated dynamics of glass-forming beverages, dense polymer melts, and colloidal suspensions. It describes in a self-contained demeanour the derivation of the MCT equations of movement and explains that the latter outline a version for a statistical description of non-linear dynamics.
It is proven that the equations of movement express bifurcation singularities, which suggest the evolution of dynamical eventualities various from these studied in different non-linear dynamics theories. The essence of the situations is defined via the asymptotic answer concept of the equations of movement. The leading-order effects care for scaling legislation and the variety of validity of those normal legislation is got by means of the derivation of the leading-correction results.
Comparisons of numerical recommendations of the MCT equations of movement with the analytic result of the asymptotic research reveal a variety of elements of the MCT dynamics. a few comparisons of MCT effects with info are used to teach the relevance of MCT for the dialogue of amorphous topic dynamics.