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A parallel plate capacitor containing an electrolytic solution is the simplest model of a supercapacitor, or electric double layer capacitor. Using both analytical and numerical techniques, we solve the Poisson-Nernst-Planck equations for…

Soft Condensed Matter · Physics 2025-10-02 Ivan Palaia , Adelchi J. Asta , Megh Dutta , Patrick B. Warren , Benjamin Rotenberg , Emmanuel Trizac

An electric double layer capacitor (EDLC) stores energy by modulating the spatial distribution of ions in the electrolytic solution that it contains. We determine the mean-field time scales for planar EDLC relaxation to equilibrium, after a…

Understanding ion relaxation dynamics in overlapping electric double layers (EDLs) is critical for the development of efficient nanotechnology based electrochemical energy storage, electrochemomechanical energy conversion and…

Chemical Physics · Physics 2014-11-04 Vaibhav Thakore , James J. Hickman

The response of a model micro-electrochemical system to a time-dependent applied voltage is analyzed. The article begins with a fresh historical review including electrochemistry, colloidal science, and microfluidics. The model problem…

Soft Condensed Matter · Physics 2009-11-10 Martin Z. Bazant , Katsuyo Thornton , Armand Ajdari

Porous electrodes{made of hierarchically nanostructured materials{are omnipresent in various electrochemical energy technologies from batteries and supercapacitors to sensors and electrocatalysis. Modeling the system-level macroscopic…

Applied Physics · Physics 2022-02-03 Anis Allagui , Hachemi Benaoum

Electric double layer (EDL) formation underlies the functioning of supercapacitors and several other electrochemical technologies. Here, we study how the EDL formation near two flat blocking electrodes separated by $2L$ is affected by…

Chemical Physics · Physics 2025-09-23 David Fertig , Mathijs Janssen

Electrochemical devices often consist of multicomponent electrolyte solutions. Two processes influence the overall dynamics of these devices: the formation of electrical double layers and chemical conversion due to redox reactions. However,…

Chemical Physics · Physics 2022-06-20 Nathan Jarvey , Filipe Henrique , Ankur Gupta

This work proposes a new variational, thermodynamically consistent model to predict thermal electrokinetics in electric double layer capacitors (EDLCs) by using an energetic variational approach. The least action principle and maximum…

Chemical Physics · Physics 2022-08-15 Xiang Ji , Chun Liu , Pei Liu , Shenggao Zhou

The rapid charging and/or discharging of electrochemical cells can lead to localized depletion of electrolyte concentration. This depletion can significantly impact the system's time dependent resistance. For systems with porous electrodes,…

Chemical Physics · Physics 2017-12-27 James W. Palko , Ali Hemmatifar , Juan G. Santiago

We revisit a classical problem of theoretical electrochemistry: the response of an electric double layer capacitor (EDLC) subject to a small, suddenly applied external potential. We solve the Debye-Falkenhagen equation to obtain exact…

Chemical Physics · Physics 2018-06-06 Mathijs Janssen , Markus Bier

Supercapacitors (aka electrostatic double-layer capacitors -- EDLCs) offer excellent power storage capacity and kinetics, but suffer under rapid self-discharge. We introduced a zeolite framework into the active capacitor electrode, with the…

Chemical Physics · Physics 2020-06-04 Samuel Devese , Thomas Nann

This work presents a scalable method to produce robust all-solid electric double layer capacitors (EDLCs), compatible with roll-to-roll processes and structural laminate composite fabrication. It consists in sandwiching and pressing an…

We analyze the simplest problem of electrochemical relaxation in more than one dimension - the response of an uncharged, ideally polarizable metallic sphere (or cylinder) in a symmetric, binary electrolyte to a uniform electric field. In…

Materials Science · Physics 2009-11-11 Kevin T. Chu , Martin Z. Bazant

Understanding the system-level spectral immittance response of capacitive energy storage devices with analytically tractable physics-based models is not only important for the progress of the technology, but also allows to develop new…

Applied Physics · Physics 2022-02-22 Anis Allagui , Hachemi Benaoum , Hichem Eleuch , Chunlei Wang

Confinement strongly influences electrochemical systems, where structural control has enabled advances in nanofluidics, sensing, and energy storage. In electric double-layer capacitors (EDLCs), or supercapacitors, energy density is governed…

Chemical Physics · Physics 2026-01-30 Bryce Rives , Filipe Henrique , Pawel Zuk , Ankur Gupta

Charge transport in porous electrodes is foundational for modern energy storage technologies like supercapacitors, fuel cells, and batteries. Supercapacitors in particular rely solely on storing energy in charged pores. Here, we simulate…

Soft Condensed Matter · Physics 2025-12-12 Aaron D. Ratschow , Alexander J. Wagner , Mathijs Janssen , Steffen Hardt

Understanding the loss of non-equilibrium capacitance in the electric double layer capacitor (EDLC) during continuous charging compared to equilibrium capacitance is crucial for the design of high-rate energy storage devices. Due to three…

Materials Science · Physics 2025-03-21 Jia Li , Xinyu Zhang , Wei Wu

Porous electrodes are found in energy storage devices such as supercapacitors and pseudocapacitors. However, the effect of electrode-pore-size distribution over their energy storage properties remains unclear. Here, we develop a model for…

Chemical Physics · Physics 2021-12-03 Filipe Henrique , Pawel J. Zuk , Ankur Gupta

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 discharging power system. Reliably modeling their…

Applied Physics · Physics 2022-10-05 Anis Allagui , Hachemi Benaoum , Ahmed S. Elwakil , Mohammad Alshabi

Understanding the electrical double layer (EDL), i.e, the distribution of electrolyte at an electrified interface, in concentrated electrolytes is important for various technologies, such as supercapacitors, batteries and electrocatalysis.…

Soft Condensed Matter · Physics 2026-05-01 Zachary A. H. Goodwin
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