The extension of the mobility, denoted strip mobility, is derived for thin, infinite plates subject to two different, symmetric force distributions.
Using impedance spectroscopy with amplitude and frequency variation, the proton mobility was derived to be independent of the length scale of the proton permeation through fully hydrated Nafion®, suggesting equal direct current (DC) and alternating current (AC) conductivities.
Second, replacement of residual oxygen atoms with sulfur atoms should actually increase the mobility, and replacement of residual oxygen atoms with vacancies could also improve the transconductance, from which the field-effect mobility is derived.
In addition, the effective mobilities are derived for the same force distributions.
Theoretical description of such kind of system is given and equations for zone-related boundary mobilities are derived, resulting in a much more general definition of the effective mobility of the terminating H+ zone than used so far.
Complex interface mobilities are derived for the important case of plate-like structures comprising the effective characteristics at the directly excited interface as well as transfer and cross-transfer characteristics between different interfaces.
Based on this model characteristic quantities determining the mobility behavior are derived, e.g., the distributions of cell residence and holding time as well as the average number of HOs.
Furthermore, analytical conditions for the mobility of the mechanism are derived for two cases: mobility for the full cycle of the crank, and for any given subset of it, along with the identification of the kinematic branches.
In contrast to most other mobility modeling efforts, most of the aspects of the presented mobility model and model parameters are derived from surveys from urban planning and traffic engineering research.
