Abstract
A restricted dynamics, previously introduced in a kinetic model for
relaxation phenomena in linear polymer chains, is used to study the
dynamic critical exponent of one-dimensional Ising models. Both an
alternating isotopic chain and an alternating-bond chain are considered.
In contrast with what occurs for Glauber dynamics, in these two models
the dynamic critical exponent turns out to be the same. The alternating
isotopic chain with the restricted 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 apparently not playing
the most important role in determining such scaling.
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