  The kinetic Monte Carlo simulations are employed to study the proton
conductivity for anhydrous heterocyclic based polymers. The proton transport is
based on a two-step process called the Grotthuss mechanism. In the referring
system the proton concentration depends on the relative molar ratio, $x$, of
the benzimidazole and the polystyrene sulfonic acid. Available experimental
data with contrasting behavior are fitted and interpreted in terms of our
microscopic model. Moreover, it has been shown that the current behavior
similar to the Vogel-Tamman-Fulcher law can be reproduced with high precision
on the basis of the Grotthuss mechanism.
