The electrical impedance response of six nematic liquid crystals samples is analyzed bymeans of an extension of the Poisson-Nernst-Planck diffusional model. This formulationincludes fractional derivatives of distributed order governing the behavior of the bulkdensity ofmobile charges, whose solutions are subjected to integro-differential equationsaccounting for the boundary conditions. The role of the intrinsic surface lengths involvedin the adsorption-desorption phenomena at the electrodes is emphasized, in order toanalyze the frequency dependence of the real and imaginary parts of the electricalimpedance experimentally obtained.
Anomalous Diffusion Effects on the Electrical Impedance Response of Liquid-Crystalline Systems
SCARAMUZZA, Nicola
2013-01-01
Abstract
The electrical impedance response of six nematic liquid crystals samples is analyzed bymeans of an extension of the Poisson-Nernst-Planck diffusional model. This formulationincludes fractional derivatives of distributed order governing the behavior of the bulkdensity ofmobile charges, whose solutions are subjected to integro-differential equationsaccounting for the boundary conditions. The role of the intrinsic surface lengths involvedin the adsorption-desorption phenomena at the electrodes is emphasized, in order toanalyze the frequency dependence of the real and imaginary parts of the electricalimpedance experimentally obtained.File in questo prodotto:
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