| Full text | |
| Author(s): |
Rosseto, M. P.
;
Zola, R. S.
;
Lenzi, E. K.
;
Evangelista, L. R.
Total Authors: 4
|
| Document type: | Journal article |
| Source: | Chaos; v. 35, n. 2, p. 10-pg., 2025-02-01. |
| Abstract | |
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) | |
| FAPESP's process: | 14/50983-3 - INCT 2014: complex fluids |
| Grantee: | Antonio Martins Figueiredo Neto |
| Support Opportunities: | Research Projects - Thematic Grants |