General model of the relaxation of a system of macromolecules

A general approach is proposed for the Relaxation of a System of Macromolecules with an arbitrary topological structure that does not exclude cycles. The connection components into which the connection graph is split are naturally considered as model macromolecules whose links are the graph vertices. The exponential expansion with the identical exponent should be joined and terms with zero weight should be removed. The model presented exhibits the pronounced relation of the relaxation spectrum and relaxation moduli with the topological structure of the macromolecule. It is noted that the approach attributes the relaxation mechanism exclusively to intramolecular motions in agreement with general approaches proposed for theoretical description of the relaxation properties of topologically complex macromolecules.