Relaxation in kinetic models on alternating linear chains - art. no. 026114

A restricted dynamics, previously introduced in a kinetic model for relaxat ion phenomena in linear polymer chains, is used to study the dynamic critic al exponent of one-dimensional Ising models. Both an alternating isotopic c hain and an alternating-bond chain are considered. In contrast with what oc curs for Glauber dynamics, in these two models the dynamic critical exponen t turns out to be the same. The alternating isotopic chain with the restric ted dynamics is shown to lead to Nagel scaling for temperatures above some critical value. Further support is given relating the Nagel scaling to the existence of multiple (simultaneous) relaxation processes, the dynamics app arently not playing the most important role in determining such scaling.