74 citations · 100 across the 17 of their papers we have counts for
17 papers
On the behavior of a distributed network of capacitive constant phase elements
Anis Allagui, Ahmed S. Elwakil
As a generalization of integer-order calculus, fractional calculus has seen tremendous applications in the past few years especially in the description of anomalous viscoelastic pr…
Generalized Distribution Function of Relaxation Times with the Davidson-Cole Model as a Kernel
Anis Allagui, Ahmed Elwakil
In this paper we propose a generalized distribution function of relaxation times (DFRT) considering the Davidson-Cole model as an elementary process instead of the standard Debye m…
Procedure for Obtaining the Analytical Distribution Function of Relaxation Times for the Analysis of Impedance Spectra using the Fox -function
Anis Allagui, Ahmed Elwakil
The interpretation of electrochemical impedance spectroscopy data by fitting it to equivalent circuit models has been a standard method of analysis in electrochemistry. However, th…
Time-space bi-fractional drift-diffusion equation for anomalous electrochemical transport
Anis Allagui, Georgii Paradezhenko, Anastasiia Pervishko +2
The Debye-Falkenhagen differential equation is commonly used as a mean-field macroscopic model for describing electrochemical ionic drift and diffusion in dilute binary electrolyte…
Theory and Application of the Fractional-order Delta Function Associated with the Inverse Laplace Transform of the Mittag-Leffler Function
Anis Allagui, Ahmed S. Elwakil
This paper is devoted to the study of the -Wright function () which is the inverse Laplace transform of the single-parameter Mittag-Leffler (ML) function (). Be…
Tikhonov regularization for the deconvolution of capacitance from voltage-charge response of electrochemical capacitors
Anis Allagui, Ahmed Elwakil
The capacitance of capacitive energy storage devices can not be directly measured, but can be estimated from the input and output signals expressed in the time or frequency domains…
Observation of a Pinched-Loop in a Current-Excited Inductive Circuit
Ahmed S. Elwakil, Costas Psychalinos, Brent J. Maundy +1
In this work, we show that a pinched-loop can be observed in the voltage-current plane when a series R-L circuit is current excited. Specifically, the resistance (R) in this circui…
Fractional Marcus-Hush-Chidsey-Yakopcic current-voltage model for redox-based resistive memory devices
Georgii Paradezhenko, Dmitrii Prodan, Anastasiia Pervishko +2
We propose a circuit-level model combining the Marcus-Hush-Chidsey electron current equation and the Yakopcic equation for the state variable for describing resistive switching mem…
Time-domain Response of Supercapacitors using their Impedance Parameters and Fourier Series Decomposition of the Excitation Signal
Anis Allagui, Mohammed E. Fouda, Ahmed Elwakil +1
Supercapacitors are mostly recognized for their high power density capabilities and fast response time when compared to secondary batteries. However, computing their power in respo…
Further Experimental Evidence of the Dead Matter Has Memory Conjecture in Capacitive Devices
Anis Allagui, Di Zhang, Ahmed Elwakil
This study provides new sets of experimental results supporting Westerlund's conjecture that Dead Matter Has Memory. Memory effects in the dynamic response of electric double-layer…
A superstatistics approach to the modelling of memristor current-voltage responses
Roland Konlechner, Anis Allagui, Vladimir N. Antonov +1
Memristors are expected to form a major cornerstone in the upcoming renaissance of analog computing, owing to their very small spatial footprint and low power consumption. Due to t…
Non-Debye impedance and relaxation models for dissipative electrochemical capacitors
Anis Allagui, Hachemi Benaoum, Ahmed S. Elwakil +1
Electrochemical capacitors are a class of energy devices in which complex mechanisms of accumulation and dissipation of electric energy take place when connected to a charging or d…
Time-Domain and Frequency-Domain Mappings of Voltage-to-Charge and Charge-to-Voltage in Capacitive Devices
Anis Allagui, Ahmed S. Elwakil, Chunlei Wang
In this work, we aim to show that there are generally four possible mapping functions that can be used to map the time-domain or frequency-domain representations of an applied volt…
Modified Poisson-Nernst-Planck theory for low-to-mid frequency immittance of electric double-layer capacitors
Anis Allagui, Hachemi Benaoum, Hichem Eleuch +1
Understanding the system-level spectral immittance response of capacitive energy storage devices with analytically tractable physics-based models is not only important for the prog…
Power-law charge relaxation of inhomogeneous porous capacitive electrodes
Anis Allagui, Hachemi Benaoum
Porous electrodes{made of hierarchically nanostructured materials{are omnipresent in various electrochemical energy technologies from batteries and supercapacitors to sensors and e…
Deformed Butler-Volmer Models for Convex Semilogarithmic Current-Overpotential Profiles of Li-ion Batteries
Anis Allagui, Hachemi Benaoum, Chunlei Wang
The Butler-Volmer (BV) equation links the current flux crossing an electrochemical interface to the electric potential drop across it with the assumption of Arrhenius kinetics and…
On the Gouy-Chapman-Stern model of the electrical double-layer structure with a generalized Boltzmann factor
Anis Allagui, Hachemi Benaoum, Oleg Olendski
The classical treatment of the electrical double-layer (EDL) structure at a planar metal/electrolyte junction via the Gouy-Chapman-Stern (GCS) approach is based on the Poisson equa…