NUMERICAL-ANALYSIS OF THE ROSE-FOWLER-WEISBERG MODEL

A program for numerical solution of the system of differential equatio ns for the Rose-Fowler-Weisberg model applied to the problem of radiat ion-induced conductivity of polymers is developed. The general version of the model is concerned with the free-charge mechanism of the radia tion-induced conductivity of polymers such as polystyrene (PS), poly(e thylene terephtalate) (PETP), and polyvinylcarbazole. In a modified ve rsion (coefficient k(c) is used as an adjustable parameter), the model is also applicable to the geminate mechanism of radiation-induced con ductivity, which is realized in most commercial polymers such as polye thylene (PE), polytetrafluoroethylene (PTFE), polypropylene (PP), poly (vinyl chloride) (PVC), and others. The calculations were carried out over a wide temperature range (the dispersion parameter was varied in the range 0.01 - 1000) and at bulk rates of generation of charge carri ers of 10(17), 6.24 x 10(19), 10(21), and 6.24 x 10(23) m(-3)s(-1). Th e frequency factor was varied as 10(4), 10(9), and 10(11) s(-1) under conditions of continuous irradiation up to 10(7) s.