Instabilities of Deformation Processes in Linear Polymer Systems

The work is devoted to the study of the effects of instability of the relaxation process in linear polymer systems based on a dynamic model of deformation processes. A system of equations for perturbations of the process characteristics is obtained, and a spectrum of perturbations is shown depending on the model parameters calculated from empirical relaxation curves. Instability conditions are obtained. It is shown that relaxation processes are stable in weakly nonequilibrium linear systems; with increasing disequilibrium and nonlinearity, long-wave fluctuations in deformation characteristics occur, which, in particular, macroscopically manifest themselves as a vibration relaxation effect.