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A two-scale model is presented to simulate the dynamic ion transport and adsorption processes in porous electrodes used for capacitive deionization (CDI). At the pore scale, the Stokes equation governing water flow in porous CDI electrodes…

Fluid Dynamics · Physics 2022-01-14 Min Liu , John Waugh , Siddharth Komini Babu , Jacob S. Spendelow , Qinjun Kang

Water desalination by capacitive deionization (CDI) is performed via electrochemical cells consisting of two porous carbon electrodes. Upon transferring charge from one electrode to the other, ions are removed from the feedwater by…

Materials Science · Physics 2015-06-15 P. M. Biesheuvel , M. E. Suss , H. V. M. Hamelers

Capacitive deionization (CDI) is a technology in which water is desalinated by ion electrosorption into the electric double layers (EDLs) of charging porous electrodes. In recent years significant advances have been made in modeling the…

Chemical Physics · Physics 2017-02-01 Amit N. Shocron , Matthew E. Suss

We present porous electrode theory for capacitive deionization (CDI) with electrodes containing nanoparticles that consist of a redox-active intercalation material. A geometry of a desalination cell is considered which consists of two…

Chemical Physics · Physics 2019-12-24 K. Singh , H. J. M. Bouwmeester , L. C. P. M de Smet , M. Z. Bazant , P. M. Biesheuvel

Mean-field theory and scaling arguments are presented to model polyelectrolyte adsorption from semi-dilute solutions onto charged surfaces. Using numerical solutions of the mean-field equations, we show that adsorption exists only for…

Soft Condensed Matter · Physics 2009-11-10 A. Shafir , D. Andelman , R. R. Netz

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

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

Electrochemical desalination devices that use redox-active cation intercalation electrodes show promise for desalination of salt-rich water resources with high water recovery and low energy consumption. While previous modeling and…

Applied Physics · Physics 2018-04-02 Sizhe Liu , Kyle C. Smith

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

We generalize linearized Gouy-Chapman-Stern theory of electric double layer for nanostructured and morphologically disordered electrodes. Equation for capacitance is obtained using linear Gouy-Chapman (GC) or Debye-$\rm{\ddot{u}}$ckel…

Materials Science · Physics 2015-06-04 Rama Kant , Birla S. Maibam

Capacitive deionization (CDI) is a fast-emerging technology most commonly applied to brackish water desalination. In CDI, salt ions are removed from the feedwater and stored in electric double layers (EDLs) within micropores of electrically…

Chemical Physics · Physics 2017-10-11 Matthew E. Suss

Capacitive deionization (CDI) is a fast-emerging water desalination technology in which a small cell voltage of ~1 V across porous carbon electrodes removes salt from feedwaters via electrosorption. In flow-through electrode (FTE) CDI cell…

Computational Engineering, Finance, and Science · Computer Science 2017-02-01 Eric N. Guyes , Amit N. Shocron , Anastasia Simanovski , P. M. Biesheuvel , Matthew E. Suss

We study the response of a model micro-electrochemical cell to a large ac voltage of frequency comparable to the inverse cell relaxation time. To bring out the basic physics, we consider the simplest possible model of a symmetric binary…

Fluid Dynamics · Physics 2013-12-12 Laurits H. Olesen , Martin Z. Bazant , Henrik Bruus

Mean-field theory is used to model polyelectrolyte adsorption and the possibility of overcompensation of charged surfaces. For charged surfaces that are also chemically attractive, the overcharging is large in high salt conditions,…

Soft Condensed Matter · Physics 2009-11-10 Adi Shafir , David Andelman

We formulate a general mean-field theory of a flat electric double layer in ionic liquids and electrolyte solutions with ions possessing static polarizability and a permanent dipole moment on a charged electrode. We establish a new…

Statistical Mechanics · Physics 2021-08-17 Yu. A. Budkov , S. V. Zavarzin , A. L. Kolesnikov

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

We demonstrate the phenomenon of induced-charge capacitive deionization (ICCDI) that occurs around a porous and conducting particle immersed in an electrolyte, under the action of an external electric field. The external electric field…

Fluid Dynamics · Physics 2016-12-21 S. Rubin , M. E. Suss , P. M. Biesheuvel , M. Bercovici

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…

Carbon-carbon supercapacitors are high power electrochemical energy storage systems which store energy through reversible ion adsorption at the electrode-electrolyte interface. Due to the complex structure of the porous carbons used as…

Materials Science · Physics 2024-06-19 El Hassane Lahrar , Patrice Simon , Céline Merlet

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
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