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arxiv: 2605.18473 · v1 · pith:ROILL2F4new · submitted 2026-05-18 · ❄️ cond-mat.soft · physics.chem-ph

Accelerating charging dynamics of electric double-layer capacitors

Megh Dutta , Ivan Palaia , Emmanuel Trizac , Benjamin Rotenberg This is my paper

Pith reviewed 2026-05-20 08:13 UTC · model grok-4.3

classification ❄️ cond-mat.soft physics.chem-ph
keywords electric double-layer capacitorscharging dynamicsPoisson-Nernst-Planck modeltime-dependent protocolsrelaxation modesfinite-time charging
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The pith

Time-dependent voltage protocols let electric double-layer capacitors reach full charge in finite time shorter than natural relaxation.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper develops time-dependent voltage signals to charge and discharge electric double-layer capacitors more quickly than a simple step change allows. In the small-voltage limit the governing equations stay linear, so the protocols can be built to remove the contribution of any chosen number of the slow relaxation modes that normally set the equilibration pace. A sympathetic reader would care because this approach can drive the capacitor to its final state after a deliberately chosen finite interval that is often much shorter than the usual RC time. Concrete polynomial voltage examples show that electrode surface charge, ion density profiles across the gap, and a global measure of departure from equilibrium all move toward their targets on the accelerated schedule.

Core claim

Within the Poisson-Nernst-Planck model and the small-voltage regime, time-dependent protocols can be derived to eliminate an arbitrary number of relaxation modes. This permits approaching the equilibrium charged state within a finite time that can be an order of magnitude faster than the natural equilibration time. The method is illustrated using polynomial drivings, demonstrating acceleration of the surface charge density, charge-density profiles, and global deviation from equilibrium even when driving times are comparable to or shorter than the natural RC time.

What carries the argument

Time-dependent voltage protocols that successively cancel relaxation modes in the linear Poisson-Nernst-Planck equations describing ion transport between planar electrodes.

Load-bearing premise

The applied voltages remain small enough that the Poisson-Nernst-Planck equations can be treated as linear and nonlinear ion effects can be neglected.

What would settle it

Apply one of the derived polynomial voltage protocols and record whether the surface charge density or the ion concentration profiles reach near their equilibrium values at the designed finite time rather than continuing the slow exponential tail of the natural relaxation.

Figures

Figures reproduced from arXiv: 2605.18473 by Benjamin Rotenberg, Emmanuel Trizac, Ivan Palaia, Megh Dutta.

Figure 1
Figure 1. Figure 1: FIG. 1. Diagram of an EDLC at equilibrium with the applied [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. (a) Polynomial driving [PITH_FULL_IMAGE:figures/full_fig_p006_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. (a) and (b) Evolution of the charge density, [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: shows the charge-density profile ρ(z, t) near the left electrode, divided by the steady-state voltage v, at a fixed reduced time t = 0.6 under the action of various drivings, for ϵ = 0.1 and tf = 1. For a potential step (dashed￾dotted line), the profile is still far from the equilibrium charge distribution (dashed line). With one mode elimi￾nated, the profiles get closer, and with four modes elim￾inated, t… view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Global measure [PITH_FULL_IMAGE:figures/full_fig_p007_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. (a) Maximum voltage reached during the driving [PITH_FULL_IMAGE:figures/full_fig_p008_6.png] view at source ↗
read the original abstract

Electric double-layer capacitors (EDLCs), consisting of an ionic fluid between two metallic electrodes, are electrochemical energy storage devices complementary to batteries, allowing for a faster charge/discharge. The charging dynamics in response to a voltage step features a variety of regimes and relaxation timescales, depending on the applied voltage and the various lengths characterizing the system, most importantly the inter-electrode distance and the Debye length over which electrostatic effects are screened in the electrolyte. Inspired by recent works on "shortcut to adiabaticity" in colloidal systems, here we investigate the possibility to control the charge and discharge of planar EDLCs using time-dependent voltages. Specifically, our aim is to achieve a full charge or discharge within a finite time shorter than their intrinsic relaxation timescales. Within the Poisson-Nernst-Planck model and the small-voltage regime, we derive time-dependent protocols that can eliminate an arbitrary number of relaxation modes. This permits to approach the equilibrium charged state within a finite time, that can be in practice an order of magnitude faster than the natural equilibration time. We illustrate the relevance and efficacy of the method on polynomial drivings and show that the surface charge density, charge-density profiles, and global deviation from equilibrium (quantified by a Kullback-Leibler-like divergence) can all be significantly accelerated, even for driving times comparable to or shorter than the natural RC time of the system.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The paper derives time-dependent voltage protocols within the linearized Poisson-Nernst-Planck model for planar EDLCs that eliminate an arbitrary number of relaxation eigenmodes. This construction allows the system to reach the target equilibrium charge state in finite time, illustrated with polynomial drivings that accelerate surface charge, density profiles, and a global deviation measure (Kullback-Leibler-like divergence) by up to an order of magnitude relative to the natural RC time.

Significance. If the protocols remain inside the linear-response regime, the work provides a concrete, model-derived route to shortcut relaxation in EDLCs by nulling multiple modes exactly. The parameter-free character of the mode-cancellation algebra and the explicit demonstration on polynomial drivings are strengths that could inform faster charging strategies once self-consistency with the small-voltage assumption is verified.

major comments (2)
  1. [§3.2, Eq. (11)] §3.2, Eq. (11): the mode-elimination conditions for N>1 produce polynomial coefficients whose resulting V(t) amplitude exceeds the linear-response threshold (∼kT/e) when the driving time τ is shorter than the RC time; the derivation therefore requires an explicit bound showing that the constructed protocol satisfies |eV(t)/kT| ≪ 1 throughout [0,τ].
  2. [§4.1, Fig. 2] §4.1, Fig. 2: for the N=3 polynomial protocol with τ/τ_RC = 0.5 the peak voltage reaches ∼0.15 V; without a supplementary plot or table confirming that nonlinear corrections (steric or higher-order PB terms) remain negligible at this amplitude, the claimed finite-time equilibration cannot be guaranteed inside the model used for the derivation.
minor comments (2)
  1. [§2.3] The definition of the Kullback-Leibler-like divergence in §2.3 should include the explicit integral expression and state whether it is evaluated on the full density or on the deviation from equilibrium.
  2. [§3] Notation for the eigenmode amplitudes c_n(t) is introduced in §3 but the orthogonality relation used to project the initial condition is not restated; adding a short reminder would improve readability.

Simulated Author's Rebuttal

2 responses · 1 unresolved

We appreciate the referee's thorough review and valuable suggestions. Below we provide point-by-point responses to the major comments, and we have made revisions to the manuscript to strengthen the presentation of the linear-response validity.

read point-by-point responses

  1. Referee: §3.2, Eq. (11): the mode-elimination conditions for N>1 produce polynomial coefficients whose resulting V(t) amplitude exceeds the linear-response threshold (∼kT/e) when the driving time τ is shorter than the RC time; the derivation therefore requires an explicit bound showing that the constructed protocol satisfies |eV(t)/kT| ≪ 1 throughout [0,τ].

    Authors: We concur that the linear-response assumption must be verified explicitly for the constructed protocols. In the revised version, we have added an explicit bound and a new figure (Fig. S1 in the supplement) that plots the maximum |eV(t)/kT| versus τ/τ_RC for N = 1 to 5. For the specific examples shown in the main text (including N=3 at τ/τ_RC = 0.5), the peak |eV/kT| is approximately 6, which is at the upper limit of the linear regime. We have therefore added a discussion noting that while the mode-cancellation algebra is exact within the linear model, practical implementation for very short τ may require checking against nonlinear models. This revision directly addresses the referee's request for an explicit bound. revision: yes

  2. Referee: §4.1, Fig. 2: for the N=3 polynomial protocol with τ/τ_RC = 0.5 the peak voltage reaches ∼0.15 V; without a supplementary plot or table confirming that nonlinear corrections (steric or higher-order PB terms) remain negligible at this amplitude, the claimed finite-time equilibration cannot be guaranteed inside the model used for the derivation.

    Authors: The referee correctly identifies that 0.15 V corresponds to eV/kT ≈ 6 at room temperature, where nonlinear effects could become relevant. Since our derivation is strictly within the linearized PNP equations, we cannot directly confirm the negligibility of nonlinear terms within the same model. In the revision, we have added a note in Section 4.1 clarifying the voltage range of validity and referenced studies on nonlinear EDLC dynamics. We have also updated the figure caption to emphasize that the results are for the linear model. revision: partial

standing simulated objections not resolved
  • Confirmation that nonlinear corrections remain negligible at the illustrated voltage amplitudes, since this would require simulations or analysis beyond the linearized model of the manuscript.

Circularity Check

0 steps flagged

Derivation of mode-elimination protocols is self-contained within linearized PNP model

full rationale

The paper performs an explicit mathematical construction inside the linearized Poisson-Nernst-Planck equations to null an arbitrary number of eigenmodes via time-dependent voltage protocols. This is a direct solution of the linear system of ODEs for the mode amplitudes, with the small-voltage assumption stated upfront as the domain of validity rather than derived from or fitted to the target result. No step reduces a prediction to a fitted parameter, renames a known empirical pattern, or relies on a load-bearing self-citation whose content is itself unverified; the shortcut-to-adiabaticity inspiration is cited only for motivation, not as the justification for the specific protocols. The central claim therefore remains independent of its inputs.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claim rests on the Poisson-Nernst-Planck continuum model and the restriction to linear small-voltage response; no new entities are postulated and no parameters appear to be fitted beyond standard system lengths.

axioms (2)
  • domain assumption The system obeys the Poisson-Nernst-Planck equations for ion transport and electrostatics.
    Invoked throughout the abstract as the modeling framework for deriving the protocols.
  • domain assumption The applied voltage remains in the small-voltage regime where nonlinear effects are negligible.
    Explicitly stated as the regime in which the time-dependent protocols are derived.

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Works this paper leans on

51 extracted references · 51 canonical work pages

  1. [1]

    author author R. Parsons ,\ title title The electrical double layer: recent experimental and theoretical developments , \ 10.1021/cr00103a008 journal journal Chemical Reviews \ volume 90 ,\ pages 813--826 ( year 1990 ) NoStop

    work page doi:10.1021/cr00103a008 1990

  2. [2]

    Simon \ and\ author Y

    author author P. Simon \ and\ author Y. Gogotsi ,\ title title Perspectives for electrochemical capacitors and related devices , \ 10.1038/s41563-020-0747-z journal journal Nature Materials \ volume 19 ,\ pages 1151--1163 ( year 2020 ) NoStop

    work page doi:10.1038/s41563-020-0747-z 2020

  3. [3]

    Ji , author X

    author author H. Ji , author X. Zhao , author Z. Qiao , author J. Jung , author Y. Zhu , author Y. Lu , author L. L. \ Zhang , author A. H. \ MacDonald , \ and\ author R. S. \ Ruoff ,\ title title Capacitance of carbon-based electrical double-layer capacitors , \ 10.1038/ncomms4317 journal journal Nature Communications \ volume 5 ,\ pages 3317 ( year 2014...

    work page doi:10.1038/ncomms4317 2014

  4. [4]

    Frivaldsky , author J

    author author M. Frivaldsky , author J. Cuntala , author P. Spanik , \ and\ author A. Kanovsky ,\ title title Investigation of thermal effects and lifetime estimation of electrolytic double layer capacitors during repeated charge and discharge cycles in dedicated application , \ 10.1007/s00202-016-0482-2 journal journal Electrical Engineering \ volume 100...

    work page doi:10.1007/s00202-016-0482-2 2018

  5. [5]

    Torki , author C

    author author J. Torki , author C. Joubert , \ and\ author A. Sari ,\ title title Electrolytic capacitor: Properties and operation , \ https://doi.org/10.1016/j.est.2022.106330 journal journal Journal of Energy Storage \ volume 58 ,\ pages 106330 ( year 2023 ) NoStop

    work page doi:10.1016/j.est.2022.106330 2022

  6. [6]

    author author J. R. \ Miller \ and\ author A. Burke ,\ title title Electrochemical capacitors: Challenges and opportunities for real-world applications , \ 10.1149/2.F08081IF journal journal The Electrochemical Society Interface \ volume 17 ,\ pages 53 ( year 2008 ) NoStop

    work page doi:10.1149/2.f08081if 2008

  7. [7]

    author author C. S. \ Durganjali , author V. Chawla , author H. Raghavan , \ and\ author S. Radhika ,\ title title Design, development, and techno-economic analysis of extreme fast charging topologies using super capacitor and li-ion battery combinations , \ https://doi.org/10.1016/j.est.2022.106140 journal journal Journal of Energy Storage \ volume 56 ,\...

    work page doi:10.1016/j.est.2022.106140 2022

  8. [8]

    P \' e an , author C

    author author C. P \' e an , author C. Merlet , author B. Rotenberg , author P. A. \ Madden , author P. L. \ Taberna , author B. Daffos , author M. Salanne , \ and\ author P. Simon ,\ title title On the dynamics of charging in nanoporous carbon-based supercapacitors , \ 10.1021/nn4058243 journal journal ACS Nano \ volume 8 ,\ pages 1576--1583 ( year 2014 ) NoStop

    work page doi:10.1021/nn4058243 2014

  9. [9]

    Péan , author B

    author author C. Péan , author B. Rotenberg , author P. Simon , \ and\ author M. Salanne ,\ title title Multi-scale modelling of supercapacitors: From molecular simulations to a transmission line model , \ 10.1016/j.jpowsour.2016.03.095 journal journal Journal of Power Sources \ volume 326 ,\ pages 680--685 ( year 2016 ) NoStop

    work page doi:10.1016/j.jpowsour.2016.03.095 2016

  10. [10]

    Noh \ and\ author Y

    author author C. Noh \ and\ author Y. Jung ,\ title title Understanding the charging dynamics of an ionic liquid electric double layer capacitor via molecular dynamics simulations , \ 10.1039/C8CP07200K journal journal Phys. Chem. Chem. Phys. \ volume 21 ,\ pages 6790--6800 ( year 2019 ) NoStop

    work page doi:10.1039/c8cp07200k 2019

  11. [11]

    Jeanmairet , author B

    author author G. Jeanmairet , author B. Rotenberg , \ and\ author M. Salanne ,\ title title Microscopic simulations of electrochemical double-layer capacitors , \ 10.1021/acs.chemrev.1c00925 journal journal Chemical Reviews \ volume 122 ,\ pages 10860--10898 ( year 2022 ) ,\ note pMID: 35389636 ,\ http://arxiv.org/abs/https://doi.org/10.1021/acs.chemrev.1...

    work page doi:10.1021/acs.chemrev.1c00925 2022

  12. [12]

    Waysenson , author A

    author author Z. Waysenson , author A. France-Lanord , author A. Serva , author P. Simon , author M. Salanne , \ and\ author A. M. \ Saitta ,\ title title Electrode Flexibility Enhances Electrolyte Dynamics during Supercapacitor Charging , \ 10.1021/acsnano.5c07490 journal journal ACS Nano \ volume 19 ,\ pages 29462--29469 ( year 2025 ) NoStop

    work page doi:10.1021/acsnano.5c07490 2025

  13. [13]

    author author A. J. \ Asta , author I. Palaia , author E. Trizac , author M. Levesque , \ and\ author B. Rotenberg ,\ title title Lattice Boltzmann electrokinetics simulation of nanocapacitors , \ 10.1063/1.5119341 journal journal The Journal of Chemical Physics \ volume 151 ,\ pages 114104 ( year 2019 ) NoStop

    work page doi:10.1063/1.5119341 2019

  14. [14]

    Lin , author C

    author author Y. Lin , author C. Lian , author M. U. \ Berrueta , author H. Liu , \ and\ author R. van Roij ,\ title title Microscopic Model for Cyclic Voltammetry of Porous Electrodes , \ 10.1103/PhysRevLett.128.206001 journal journal Physical Review Letters \ volume 128 ,\ pages 206001 ( year 2022 ) NoStop

    work page doi:10.1103/physrevlett.128.206001 2022

  15. [15]

    Ma , author M

    author author K. Ma , author M. Janssen , author C. Lian , \ and\ author R. van Roij ,\ title title Dynamic density functional theory for the charging of electric double layer capacitors , \ 10.1063/5.0081827 journal journal The Journal of Chemical Physics \ volume 156 ,\ pages 084101 ( year 2022 ) NoStop

    work page doi:10.1063/5.0081827 2022

  16. [16]

    author author J. Wu ,\ title title Understanding the electric double-layer structure, capacitance, and charging dynamics , \ 10.1021/acs.chemrev.2c00097 journal journal Chemical Reviews \ volume 122 ,\ pages 10821--10859 ( year 2022 ) ,\ note pMID: 35594506 ,\ http://arxiv.org/abs/https://doi.org/10.1021/acs.chemrev.2c00097 https://doi.org/10.1021/acs.che...

    work page doi:10.1021/acs.chemrev.2c00097 2022

  17. [17]

    Kondrat , author G

    author author S. Kondrat , author G. Feng , author F. Bresme , author M. Urbakh , \ and\ author A. A. \ Kornyshev ,\ title title Theory and simulations of ionic liquids in nanoconfinement , \ 10.1021/acs.chemrev.2c00728 journal journal Chemical Reviews \ volume 123 ,\ pages 6668--6715 ( year 2023 ) ,\ note pMID: 37163447 ,\ http://arxiv.org/abs/https://do...

    work page doi:10.1021/acs.chemrev.2c00728 2023

  18. [18]

    Wang , author J

    author author S. Wang , author J. Zhang , author O. Gharbi , author V. Vivier , author M. Gao , \ and\ author M. E. \ Orazem ,\ title title Electrochemical impedance spectroscopy , \ 10.1038/s43586-021-00039-w journal journal Nature Reviews Methods Primers \ volume 1 ,\ pages 41 ( year 2021 ) NoStop

    work page doi:10.1038/s43586-021-00039-w 2021

  19. [19]

    Vivier \ and\ author M

    author author V. Vivier \ and\ author M. E. \ Orazem ,\ title title Impedance Analysis of Electrochemical Systems , \ 10.1021/acs.chemrev.1c00876 journal journal Chemical Reviews \ volume 122 ,\ pages 11131--11168 ( year 2022 ) NoStop

    work page doi:10.1021/acs.chemrev.1c00876 2022

  20. [20]

    Barbero \ and\ author L

    author author G. Barbero \ and\ author L. R. \ Evangelista ,\ title title Impedance Spectroscopy of a Cell : The Role of the Ions , \ in\ 10.1201/9781420037456.ch11 booktitle Adsorption Phenomena and Anchoring Energy in Nematic Liquid Crystals \ ( publisher CRC Press ,\ year 2005 )\ Chap. chapter 11 NoStop

    work page doi:10.1201/9781420037456.ch11 2005

  21. [21]

    Barbero \ and\ author A

    author author G. Barbero \ and\ author A. L. \ Alexe‐Ionescu ,\ title title Role of the diffuse layer of the ionic charge on the impedance spectroscopy of a cell of liquid , \ 10.1080/02678290500228105 journal journal Liquid Crystals \ volume 32 ,\ pages 943--949 ( year 2005 ) NoStop

    work page doi:10.1080/02678290500228105 2005

  22. [22]

    Barbero , author F

    author author G. Barbero , author F. Batalioto , \ and\ author A. M. \ Figueiredo Neto ,\ title title Theory of small-signal ac response of a dielectric liquid containing two groups of ions , \ 10.1063/1.2908044 journal journal Applied Physics Letters \ volume 92 ,\ pages 172908 ( year 2008 ) NoStop

    work page doi:10.1063/1.2908044 2008

  23. [23]

    author author G. Barbero ,\ title title Theoretical interpretation of Warburg 's impedance in unsupported electrolytic cells , \ 10.1039/C7CP07101A journal journal Physical Chemistry Chemical Physics \ volume 19 ,\ pages 32575--32579 ( year 2017 ) NoStop

    work page doi:10.1039/c7cp07101a 2017

  24. [24]

    Pireddu \ and\ author B

    author author G. Pireddu \ and\ author B. Rotenberg ,\ title title Frequency-dependent impedance of nanocapacitors from electrode charge fluctuations as a probe of electrolyte dynamics , \ 10.1103/PhysRevLett.130.098001 journal journal Physical Review Letters \ volume 130 ,\ pages 098001 ( year 2023 ) NoStop

    work page doi:10.1103/physrevlett.130.098001 2023

  25. [25]

    Pireddu , author C

    author author G. Pireddu , author C. J. \ Fairchild , author S. P. \ Niblett , author S. J. \ Cox , \ and\ author B. Rotenberg ,\ title title Impedance of nanocapacitors from molecular simulations to understand the dynamics of confined electrolytes , \ 10.1073/pnas.2318157121 journal journal Proceedings of the National Academy of Sciences \ volume 121 ,\ ...

    work page doi:10.1073/pnas.2318157121 2024

  26. [26]

    author author M. Z. \ Bazant , author K. Thornton , \ and\ author A. Ajdari ,\ title title Diffuse-charge dynamics in electrochemical systems , \ 10.1103/PhysRevE.70.021506 journal journal Physical Review E \ volume 70 ,\ pages 021506 ( year 2004 ) NoStop

    work page doi:10.1103/physreve.70.021506 2004

  27. [27]

    Beunis , author F

    author author F. Beunis , author F. Strubbe , author M. Marescaux , author J. Beeckman , author K. Neyts , \ and\ author A. R. M. \ Verschueren ,\ title title Dynamics of charge transport in planar devices , \ 10.1103/PhysRevE.78.011502 journal journal Physical Review E \ volume 78 ,\ pages 011502 ( year 2008 ) NoStop

    work page doi:10.1103/physreve.78.011502 2008

  28. [28]

    author author A. A. \ Lee , author S. Kondrat , author D. Vella , \ and\ author A. Goriely ,\ title title Dynamics of ion transport in ionic liquids , \ 10.1103/PhysRevLett.115.106101 journal journal Phys. Rev. Lett. \ volume 115 ,\ pages 106101 ( year 2015 ) NoStop

    work page doi:10.1103/physrevlett.115.106101 2015

  29. [29]

    Janssen \ and\ author M

    author author M. Janssen \ and\ author M. Bier ,\ title title Transient dynamics of electric double-layer capacitors: Exact expressions within the Debye-Falkenhagen approximation , \ 10.1103/PhysRevE.97.052616 journal journal Physical Review E \ volume 97 ,\ pages 052616 ( year 2018 ) NoStop

    work page doi:10.1103/physreve.97.052616 2018

  30. [30]

    author author I. Palaia ,\ title Charged systems in, out of, and driven to equilibrium: from nanocapacitors to cement ,\ @noop type Phd thesis ,\ school Universit \' e Paris-Saclay ( year 2019 ) NoStop

    work page 2019

  31. [31]

    Palaia , author A

    author author I. Palaia , author A. J. \ Asta , author M. Dutta , author P. B. \ Warren , author B. Rotenberg , \ and\ author E. Trizac ,\ title title Charging dynamics of electric double-layer nanocapacitors in mean field , \ 10.1103/72b9-c8cq journal journal Phys. Rev. Lett. \ volume 135 ,\ pages 148002 ( year 2025 a ) NoStop

    work page doi:10.1103/72b9-c8cq 2025

  32. [32]

    Palaia , author A

    author author I. Palaia , author A. J. \ Asta , author M. Dutta , author P. B. \ Warren , author B. Rotenberg , \ and\ author E. Trizac ,\ title title Poisson-nernst-planck charging dynamics of an electric double-layer capacitor: Symmetric and asymmetric binary electrolytes , \ 10.1103/p4dg-snqf journal journal Phys. Rev. E \ volume 112 ,\ pages 035417 ( ...

    work page doi:10.1103/p4dg-snqf 2025

  33. [33]

    Fertig \ and\ author M

    author author D. Fertig \ and\ author M. Janssen ,\ title title Charging dynamics of electric double layer capacitors including beyond-mean-field electrostatic correlations , \ 10.1103/1c8c-zjf7 journal journal Phys. Rev. E \ volume 112 ,\ pages 025414 ( year 2025 ) NoStop

    work page doi:10.1103/1c8c-zjf7 2025

  34. [34]

    Breitsprecher , author M

    author author K. Breitsprecher , author M. Janssen , author P. Srimuk , author B. L. \ Mehdi , author V. Presser , author C. Holm , \ and\ author S. Kondrat ,\ title title How to speed up ion transport in nanopores , \ 10.1038/s41467-020-19903-6 journal journal Nature Communications \ volume 11 ,\ pages 6085 ( year 2020 ) NoStop

    work page doi:10.1038/s41467-020-19903-6 2020

  35. [35]

    Lian , author M

    author author C. Lian , author M. Janssen , author H. Liu , \ and\ author R. van Roij ,\ title title Blessing and Curse: How a Supercapacitor's Large Capacitance Causes its Slow Charging , \ 10.1103/PhysRevLett.124.076001 journal journal Physical Review Letters \ volume 124 ,\ pages 076001 ( year 2020 ) NoStop

    work page doi:10.1103/physrevlett.124.076001 2020

  36. [36]

    author author I. A. \ Mart \' nez , author A. Petrosyan , author D. Gu \'e ry-Odelin , author E. Trizac , \ and\ author S. Ciliberto ,\ title title Engineered swift equilibration of a brownian particle , \ 10.1038/nphys3758 journal journal Nature Physics \ volume 12 ,\ pages 843--846 ( year 2016 ) NoStop

    work page doi:10.1038/nphys3758 2016

  37. [37]

    Bayati \ and\ author E

    author author P. Bayati \ and\ author E. Trizac ,\ title title Diffusiophoresis driven colloidal manipulation and shortcuts to adiabaticity , \ 10.1088/1367-2630/abf799 journal journal New Journal of Physics \ volume 23 ,\ pages 063028 ( year 2021 ) NoStop

    work page doi:10.1088/1367-2630/abf799 2021

  38. [38]

    author author C. A. \ Plata , author A. Prados , author E. Trizac , \ and\ author D. Guéry-Odelin ,\ title title Taming the Time Evolution in Overdamped Systems : Shortcuts Elaborated from Fast - Forward and Time - Reversed Protocols , \ 10.1103/PhysRevLett.127.190605 journal journal Physical Review Letters \ volume 127 ,\ pages 190605 ( year 2021 ) NoStop

    work page doi:10.1103/physrevlett.127.190605 2021

  39. [39]

    Raynal , author T

    author author D. Raynal , author T. De Guillebon , author D. Guéry-Odelin , author E. Trizac , author J.-S. \ Lauret , \ and\ author L. Rondin ,\ title title Shortcuts to Equilibrium with a Levitated Particle in the Underdamped Regime , \ 10.1103/PhysRevLett.131.087101 journal journal Physical Review Letters \ volume 131 ,\ pages 087101 ( year 2023 ) NoStop

    work page doi:10.1103/physrevlett.131.087101 2023

  40. [40]

    Shortcuts to adiabaticity: Concepts, methods, and appli- cations

    author author D. Gu\'ery-Odelin , author A. Ruschhaupt , author A. Kiely , author E. Torrontegui , author S. Mart\' nez-Garaot , \ and\ author J. G. \ Muga ,\ title title Shortcuts to adiabaticity: Concepts, methods, and applications , \ 10.1103/RevModPhys.91.045001 journal journal Rev. Mod. Phys. \ volume 91 ,\ pages 045001 ( year 2019 ) NoStop

    work page doi:10.1103/revmodphys.91.045001 2019

  41. [41]

    Guéry-Odelin , author C

    author author D. Guéry-Odelin , author C. Jarzynski , author C. A. \ Plata , author A. Prados , \ and\ author E. Trizac ,\ title title Driving rapidly while remaining in control: classical shortcuts from hamiltonian to stochastic dynamics , \ 10.1088/1361-6633/acacad journal journal Reports on Progress in Physics \ volume 86 ,\ pages 035902 ( year 2023 ) NoStop

    work page doi:10.1088/1361-6633/acacad 2023

  42. [42]

    Chassagne , author E

    author author C. Chassagne , author E. Dubois , author M. L. \ Jiménez , author V. D. \ Ploeg , author J. P. \ M , \ and\ author J. van Turnhout ,\ title title Compensating for Electrode Polarization in Dielectric Spectroscopy Studies of Colloidal Suspensions : Theoretical Assessment of Existing Methods , \ 10.3389/fchem.2016.00030 journal journal Frontie...

    work page doi:10.3389/fchem.2016.00030 2016

  43. [43]

    Anderson, D.A

    author author S. Kullback \ and\ author R. A. \ Leibler ,\ title title On Information and Sufficiency , \ 10.1214/aoms/1177729694 journal journal The Annals of Mathematical Statistics \ volume 22 ,\ pages 79--86 ( year 1951 ) NoStop

    work page doi:10.1214/aoms/1177729694 1951

  44. [44]

    Gillespie , author M

    author author D. Gillespie , author M. Valiskó , \ and\ author D. Boda ,\ title title Electrostatic correlations in electrolytes: Contribution of screening ion interactions to the excess chemical potential , \ 10.1063/5.0068521 journal journal The Journal of Chemical Physics \ volume 155 ,\ pages 221102 ( year 2021 ) NoStop

    work page doi:10.1063/5.0068521 2021

  45. [45]

    author author B. D. \ Storey \ and\ author M. Z. \ Bazant ,\ title title Effects of electrostatic correlations on electrokinetic phenomena , \ 10.1103/PhysRevE.86.056303 journal journal Phys. Rev. E \ volume 86 ,\ pages 056303 ( year 2012 ) NoStop

    work page doi:10.1103/physreve.86.056303 2012

  46. [46]

    author author N. R. \ Agrawal \ and\ author R. Wang ,\ title title Electrostatic correlation induced ion condensation and charge inversion in multivalent electrolytes , \ 10.1021/acs.jctc.2c00607 journal journal Journal of Chemical Theory and Computation \ volume 18 ,\ pages 6271--6280 ( year 2022 ) ,\ note pMID: 36136891 ,\ http://arxiv.org/abs/https://d...

    work page doi:10.1021/acs.jctc.2c00607 2022

  47. [47]

    Palaia , author I

    author author I. Palaia , author I. M. \ Telles , author A. P. \ dos Santos , \ and\ author E. Trizac ,\ title title Electroosmosis as a probe for electrostatic correlations , \ 10.1039/D0SM01523G journal journal Soft Matter \ volume 16 ,\ pages 10688--10696 ( year 2020 ) NoStop

    work page doi:10.1039/d0sm01523g 2020

  48. [48]

    Palaia , author A

    author author I. Palaia , author A. Goyal , author E. Del Gado , author L. Šamaj , \ and\ author E. Trizac ,\ title title Like-charge attraction at the nanoscale: Ground-state correlations and water destructuring , \ 10.1021/acs.jpcb.2c00028 journal journal The Journal of Physical Chemistry B \ volume 126 ,\ pages 3143--3149 ( year 2022 ) ,\ note pMID: 35...

    work page doi:10.1021/acs.jpcb.2c00028 2022

  49. [49]

    Eden , author K

    author author A. Eden , author K. Scida , author N. Arroyo-Currás , author J. C. T. \ Eijkel , author C. D. \ Meinhart , \ and\ author S. Pennathur ,\ title title Modeling faradaic reactions and electrokinetic phenomena at a nanochannel-confined bipolar electrode , \ 10.1021/acs.jpcc.8b10473 journal journal The Journal of Physical Chemistry C \ volume 123...

    work page doi:10.1021/acs.jpcc.8b10473 2019

  50. [50]

    Noroozi \ and\ author W

    author author J. Noroozi \ and\ author W. R. \ Smith ,\ title title An efficient molecular simulation methodology for chemical reaction equilibria in electrolyte solutions: Application to co2 reactive absorption , \ 10.1021/acs.jpca.9b00302 journal journal The Journal of Physical Chemistry A \ volume 123 ,\ pages 4074--4086 ( year 2019 ) ,\ note pMID: 309...

    work page doi:10.1021/acs.jpca.9b00302 2019

  51. [51]

    author author D. N. \ Petsev , author F. van Swol , \ and\ author L. J. \ D Frink ,\ title title Ionic solvation effects and solvent–solvent interactions , \ in\ 10.1088/978-0-7503-2276-8ch9 booktitle Molecular Theory of Electric Double Layers ,\ series and number 2053-2563 \ ( publisher IOP Publishing ,\ year 2021 )\ pp.\ pages 9--1 to 9--13 NoStop

    work page doi:10.1088/978-0-7503-2276-8ch9 2053