title: Non-Debye relaxation in the dielectric response of nematic liquid crystals: surface and memory effects in the adsorption-desorption process of ionic impurities.
abstract: We demonstrate theoretically that the presence of ions in insulating materials such as nematic liquid crystals may be responsible for the dielectric spectroscopy behavior observed experimentally. It is shown that, at low frequencies, an essentially non-Debye relaxation process takes place due to surface effects. This is accomplished by investigating the effects of the adsorption-desorption process on the electrical response of an electrolytic cell when the generation and recombination of ions is present. The adsorption-desorption is governed by a non-usual kinetic equation in order to incorporate memory effects related to a non-Debye relaxation and the roughness of the surface. The analysis is carried out by searching for solutions to the drift-diffusion equation that satisfy the Poisson equation relating the effective electric field to the net charge density. We also discuss the effect of the mobility of the ions, i.e., situations with equal and different diffusion coefficients for positive and negative ions, on the impedance and obtain an exact expression for the admittance. The model is compared with experimental results measured for the impedance of a nematic liquid crystal sample and a very good agreement is obtained.
authors.affiliation: Departamento di Física, Universidade Estadual de Maringá, Avenida Colombo 5790, 87020-900 Maringá, Paraná, Brazil.
authors.forename: J L
authors.initials: JL
authors.lastname: de Paula
authors.forename: P A
authors.initials: PA
authors.lastname: Santoro
authors.forename: R S
authors.initials: RS
authors.lastname: Zola
authors.forename: E K
authors.initials: EK
authors.lastname: Lenzi
authors.forename: L R
authors.initials: LR
authors.lastname: Evangelista
authors.forename: F
authors.initials: F
authors.lastname: Ciuchi
authors.forename: A
authors.initials: A
authors.lastname: Mazzulla
authors.forename: N
authors.initials: N
authors.lastname: Scaramuzza
mesh_terms: D000327:Adsorption; D003198:Computer Simulation; D017097:Electric Impedance; D007477:Ions / Q000737:chemistry*; D050866:Liquid Crystals / Q000737:chemistry*; D008956:Models, Chemical; D008958:Models, Molecular; D013499:Surface Properties
chemical_list: D007477:Ions