title: Ion Motion in Electrolytic Cells: Anomalous Diffusion Evidences.
abstract: In this study, we argue that ion motion in electrolytic cells containing Milli-Q water, weak electrolytes, or liquid crystals may exhibit unusual diffusive regimes that deviate from the expected behavior, leading the system to present an anomalous diffusion. Our arguments lie on the investigation of the electrical conductivity and its relationship with the mean square displacement, which may be used to characterize the ionic motion. In our analysis, the Poisson-Nernst-Planck diffusional model is used with extended boundary conditions to simulate the charge transfer, accumulation, and/or adsorption-desorption at the electrode surfaces.
authors.affiliation: Departamento de Física, Universidade Estadual de Ponta Grossa , 87030-900 Ponta Grossa, Paraná, Brazil.
authors.forename: E K
authors.initials: EK
authors.lastname: Lenzi
authors.affiliation: Departamento de Física, Universidade Estadual de Maringá , Avenida Colombo, 5790, 87020-900 Maringá, Paraná, Brazil.|Departamento de Física, Universidade Tecnológica Federal do Paraná , Rua Marcílio Dias, 635, 86812-460 Apucarana, Paraná, Brazil.
authors.forename: R S
authors.initials: RS
authors.lastname: Zola
authors.affiliation: Departamento de Física, Universidade Estadual de Maringá , Avenida Colombo, 5790, 87020-900 Maringá, Paraná, Brazil.
authors.forename: H V
authors.initials: HV
authors.lastname: Ribeiro
authors.affiliation: Departamento de Física, Universidade Estadual de Maringá , Avenida Colombo, 5790, 87020-900 Maringá, Paraná, Brazil.
authors.forename: Denner S
authors.initials: DS
authors.lastname: Vieira
authors.forename: F
authors.initials: F
authors.lastname: Ciuchi
authors.forename: A
authors.identifier: 0000-0002-1938-3959
authors.initials: A
authors.lastname: Mazzulla
authors.forename: N
authors.initials: N
authors.lastname: Scaramuzza
authors.affiliation: Departamento de Física, Universidade Estadual de Maringá , Avenida Colombo, 5790, 87020-900 Maringá, Paraná, Brazil.
authors.forename: L R
authors.identifier: 0000-0001-7202-1386
authors.initials: LR
authors.lastname: Evangelista