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The dispersion coefficient of the constant phase element (CPE) is typically treated as an empirical fitting parameter in the analysis of impedance spectroscopy data, with no clear physical meaning. Here we seek to establish a energy-based…

Applied Physics · Physics 2025-10-22 Anis Allagui , Enrique H. Balaguera , Ahmed Elwakil

In an ordinary time-varying capacitor, there is debate whether a time-domain multiplication or a time-domain convolution of capacitance and voltage determines charge. A time-varying capacitor in parallel with a resistor was implemented by a…

Classical Physics · Physics 2024-08-30 Eirik Brenner Marthins , Sverre Holm

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 properties, transport processes in complex media as well as in…

Applied Physics · Physics 2025-02-06 Anis Allagui , Ahmed S. Elwakil

A connection between the impedance spectroscopy response of anomalous Poisson-Nernst-Planck (PNPA) diffusional models and of equivalent circuits containing constant phase elements (CPE) is established for a typical electrolytic cell. The…

In this work we derive and study the analytical solution of the voltage and current diffusion equation for the case of a finite-length resistor-constant phase element (CPE) transmission line (TL) network that can represent a model for…

Materials Science · Physics 2025-04-07 Anis Allagui , Enrique H. Balaguera , Chunlei Wang

Supercapacitors are mostly recognized for their high power density capabilities and fast response time when compared to secondary batteries. However, computing their power in response to a given excitation using the standard formul{\ae} of…

Applied Physics · Physics 2023-01-31 Anis Allagui , Mohammed E. Fouda , Ahmed Elwakil , Costas Psychalinos

The entrainment between weakly-coupled nonlinear oscillators, as well as between complex signals such as those representing physiological activity, is frequently assessed in terms of whether a stable relationship is detectable between the…

Neurons and Cognition · Quantitative Biology 2019-02-27 Ludovico Minati , Natsue Yoshimura , Mattia Frasca , Stanislaw Drozdz , Yasuharu Koike

This brief examines the behavior of DC circuits comprised of resistively interconnected constant power devices, as may arise in DC microgrids containing micro-sources and constant power loads. We derive a sufficient condition for all…

Optimization and Control · Mathematics 2017-09-21 John W. Simpson-Porco , Florian Dorfler , Francesco Bullo

The decay of the electrical energy in a resistor-vacuum capacitor circuit is shown to involve multiple relaxation processes, with dramatically different time constants. This is measured using a vacuum capacitor to eliminate the effect of a…

General Physics · Physics 2024-04-02 Frank V. Kowalski

Electric circuits manipulate electric charge and magnetic flux via a small set of discrete components to implement useful functionality over continuous time-varying signals represented by currents and voltages. Much of the same…

Systems and Control · Computer Science 2018-12-11 Luca Cardelli , Mirco Tribastone , Max Tschaikowski

This paper presents a detailed description, analysis and example of practical application of a wide frequency band voltage-to-current converter. The converter is characterized by a combination of positive and negative feedback loops. This…

Instrumentation and Detectors · Physics 2009-11-07 Giorgio Fontana

This paper investigates the identification of observable low-frequency (LF) parameters of battery cell's equivalent circuit models (ECMs) using time-domain voltage and current measurements sampled at low frequency by built-in battery…

Systems and Control · Electrical Eng. & Systems 2026-05-29 Vladimir Sovljanski , Mario Paolone

We present a simple nonlinear resonant analog circuit which demonstrates quantization of resonating amplitudes, for a given excitation level. The system is a simple RLC resonator where C is an active capacitor whose value is related to the…

Instrumentation and Detectors · Physics 2008-01-09 B. Cretin , D. Vernier

A phase-bias tool, based on a trapped fluxoid in a ring, is proposed and demonstrated. It can provide arbitrary phase values and is simple to fabricate. The phase bias has been realized in two superconducting quantum interference devices,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. B. Majer , J. R. Butcher , J. E. Mooij

The dielectric response of complex materials is characterized, in many cases, by a similar power law frequency dependence of both the real and the imaginary parts of their complex dielectric constants. In the admittance representation, this…

Materials Science · Physics 2007-05-23 Baruch Vainas

A novel device that can be used as a tunable support-free phase plate for transmission electron microscopy of weakly scattering specimens is described. The device relies on the generation of a controlled phase shift by the magnetic field of…

A nematic liquid-crystal cell subject to an electric field created by electrodes held at constant potential is modeled as a variable capacitor in an RC circuit. The state of the system is characterized in terms of the director field in the…

Soft Condensed Matter · Physics 2021-07-13 Eugene C. Gartland

An independent control of the flux and energy of ions impacting on an object immersed in a plasma is often desirable for many industrial processes such as microelectronics manufacturing. We demonstrate that a simultaneous control of these…

Plasma Physics · Physics 2018-08-29 Sarveshwar Sharma , Igor Kaganovich , Alexander Khrabrov , Predhiman Kaw , Abhijit Sen

Nontrivial capacitance behavior, including a negative capacitance (NC) effect, observed in a variety of semiconductor devices, is discussed emphasizing the physical mechanism and the theoretical interpretation of experimental data. The…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. Ershov , H. C. Liu , L. Li , M. Buchanan , Z. R. Wasilewski , A. K. Jonscher

The observed "simple cubic" (sc) phase of elemental Ca at room temperature in the 32-109 GPa range is, from linear response calculations, dynamically unstable. By comparing first principle calculations of the enthalpy for five sc-related…

Superconductivity · Physics 2009-12-01 Z. P. Yin , F. Gygi , W. E. Pickett
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