Anomalous relaxation and electrical impedance: A diffusion approach with adsorption-desorption at the interfaces

Autor(es)

Rosseto, M. P. ; Zola, R. S. ; Lenzi, E. K. ; Evangelista, L. R.

• Tipo de documento: Artigo Científico
• Fonte: Chaos; v. 35, n. 2, p. 10-pg., 2025-02-01.

Resumo

This paper investigates several strategies for modeling electrochemical impedance, in particular, exploring the effects of fractional calculus. It focuses on the theoretical approach for describing systems with anomalous diffusion; as a result, these effects can be analytically expressed as functions of frequency when different boundary conditions are considered. Starting with the normal case as a reference scenario, this study discusses how to increase the complexity of mathematical solutions by generalizing fundamental equations. The second strategy extends the continuity equation to include a fractional contribution. Subsequently, Fick's law is also extended, considering a case that incorporates a fractal derivative. Finally, we utilize electrochemical impedance to determine electric conductivity, analyze mean-square displacement, and connect it to the diffusion process. (AU)

• Processo FAPESP: 14/50983-3 - INCT 2014: fluidos complexos
• Beneficiário: Antonio Martins Figueiredo Neto
• Modalidade de apoio: Auxílio à Pesquisa - Temático