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arxiv: 1907.11847 · v1 · pith:LFZGZ6TNnew · submitted 2019-07-27 · ❄️ cond-mat.mes-hall · physics.flu-dyn

Effects of Surface Trapping and Contact Ion Pairing on Ion Transport in Nanopores

Zhongwu Li , Yinghua Qiu , Yan Zhang , Min Yue , Yunfei Chen This is my paper

Pith reviewed 2026-05-24 15:10 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall physics.flu-dyn
keywords ion transportnanoporesmolecular dynamicscontact ion pairssurface trappingfirst-passage time model
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0 comments X

The pith

Contact ion pairs reduce ion mobility in neutral nanopores while surface trapping affects charged nanopores, with a modified first-passage time model accounting for both.

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

All-atom molecular dynamics simulations show that Na+ and Cl- ions form contact pairs inside neutral nanopores, and this pairing slows both ions more as the pore diameter shrinks below 6 nm. In charged nanopores the surface charges add a separate trapping effect that further lowers counterion mobility, producing opposite non-monotonic trends for cations and anions as charge density rises. The work proposes a modified first-passage time model that includes both pair formation and trapped ions to describe the transport.

Core claim

In nanopores without surface charges the formation of contact ion pairs plays a critical role in reducing ion mobility, with mobility for both cations and anions decreasing as pore size shrinks because pair formation becomes easier in smaller neutral pores. Inside charged nanopores, surface charges reduce counterion mobility through surface trapping in addition to pair formation; Na+ mobility rises then falls with increasing surface charge density while Cl- shows the opposite trend. A modified first-passage time model that incorporates ion pair formation and trapped ions describes ion transport through a nanopore.

What carries the argument

Modified first-passage time model that accounts for both contact ion pair formation and surface-trapped ions.

If this is right

  • Mobility decreases with reduced pore diameter in neutral nanopores because contact ion pairs form more readily.
  • In charged nanopores Na+ mobility first increases then decreases with surface charge density while Cl- mobility follows the opposite trend.
  • The modified first-passage time model supplies a quantitative description of transport that includes both pairing and trapping.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Device designs for selective ion passage could target specific charge densities to exploit the non-monotonic mobility curves.
  • The same pairing-plus-trapping picture may apply to other monovalent ion pairs or to pores with different wall chemistries.
  • Testing the model against measured transit times in pores of controlled charge would directly check its predictive range.

Load-bearing premise

The all-atom molecular dynamics force fields and pore models accurately reproduce real ion-ion and ion-surface interactions without significant artifacts from finite-size effects or incomplete sampling.

What would settle it

Experimental measurement of Na+ and Cl- mobility versus pore diameter in neutral nanopores and versus surface charge density in charged nanopores, testing whether mobility decreases monotonically with size in neutral pores and shows the predicted non-monotonic charge-density trends in charged pores.

Figures

Figures reproduced from arXiv: 1907.11847 by Min Yue, Yan Zhang, Yinghua Qiu, Yunfei Chen, Zhongwu Li.

Figure 1
Figure 1. Figure 1: Scheme of the simulation system. A ten-layer graphene membrane separates two reservoirs filled with NaCl solution. A nanopore is fabricated through the graphene membrane to connect the two reservoirs. Na+ , Cl￾ions, and carbon atoms are shown as yellow, green, and cyan spheres, respectively. Water molecules are simplified as the transparent background for clarity. A transmembrane potential along the z axis… view at source ↗
Figure 2
Figure 2. Figure 2: Comparison between the MD simulation results and the theoretical predictions from equations (3, 5, 6). Ionic currents from the MD simulations and the theoretical predictions were obtained in a 3-nm-diameter nanopore under different surface charge densities ranging from - 0.24 to 0 C/m2 . In order to understand the deviation between the simulation results and theoretical predictions, we analyzed the number … view at source ↗
Figure 3
Figure 3. Figure 3: Ion number and mobility (a and b), and schematic of the ion transport process (c and d) in nanopores. (a) The average number of Na+ ions, Cl￾ions and total ions in a 3-nm-diameter nanopore as a function of the surface charge density; (b) Ion mobility of Na+ ions and Cl￾ions in the 3-nm-diameter nanopore as a function of surface charge density; (c) Schematic of the forces that an ion experiences when moving… view at source ↗
Figure 4
Figure 4. Figure 4: Ion transport behavior in uncharged nanopores with different diameters. (a) Ion mobility of Na+ and Cl￾ions in uncharged nanopores with different diameters; (b) Histogram distribution of the total events and CIP events of Na+ ions when translocating through an 1.4- nm-diameter nanopore; (c) The dwell time probability distribution of Na+ ions translocating through an 1.4-nm-diameter nanopore in a logarithmi… view at source ↗
Figure 5
Figure 5. Figure 5: Ion transport behaviors in a 3-nm-diameter nanopore with different surface charge densities. (a) Histogram translocation distribution of total events and the trapping events of Na+ ions at a surface charge density of -0.15 C/m2 , and the inset shows an enlarged view of the distribution tails of the two type events; (b) The trapping time ratio distribution of the trapping events at the surface charge densit… view at source ↗
read the original abstract

Ion transport in highly-confined space is important to various applications, such as biosensing and seawater desalination with nanopores. All-atom molecular dynamics simulations are conducted to investigate the transport of Na$^+$ and Cl$^-$ ions through nanopores with the diameter below 6 nm. It is found that the formation of the contact ion pair plays a critical role in reducing the ion mobility inside a nanopore without surface charges. The mobility for both cations and anions decreases with the reduced pore size because it is easier to form the contact ion pairs inside the neutral nanopore with smaller diameter. Inside a charged nanopores, besides the contact ion pair formation, the surface charges also play a significant role in reducing the counterion mobility through surface trapping. It is uncovered that the mobility of Na$^+$ ions increases first and then decreases with the surface charge density, while Cl$^-$ ions have the opposite trend. A modified first-passage time model is proposed to take into account the ion pair formation and the trapped ions inside a nanopore, which provides a clear picture in describing ion transport through a nanopore.

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 manuscript reports all-atom molecular dynamics simulations of Na+ and Cl- transport through nanopores with diameters below 6 nm. It claims that contact ion pair formation is the dominant mechanism reducing ion mobility in neutral pores (with the effect strengthening at smaller diameters), while in charged pores surface trapping by the wall charges additionally reduces counterion mobility, producing non-monotonic mobility versus surface-charge-density curves that differ in sign for cations and anions. A modified first-passage-time model is introduced to incorporate both ion-pairing and surface-trapping effects.

Significance. If the simulation trends prove robust, the work supplies a concrete mechanistic picture of two distinct confinement-induced slowing mechanisms that are directly relevant to nanopore-based desalination and biosensing. The modified first-passage model offers a compact interpretive tool that could be used for rapid parameter exploration once calibrated. The significance is limited by the absence of force-field validation or quantitative error bars on the reported mobilities.

major comments (2)
  1. [Methods and Results] The central attribution of mobility reduction to contact-ion-pair formation (neutral pores) and surface trapping (charged pores) rests on the assumption that the chosen all-atom force fields correctly capture ion-ion and ion-surface energetics. No comparison of simulated contact-pair association constants or surface adsorption free energies to experimental benchmarks is provided, leaving open the possibility that the observed trends are force-field artifacts rather than general physical effects.
  2. [Abstract and Results] The abstract states that the reported trends 'come directly from the simulations,' yet the manuscript supplies neither tabulated mobility values with statistical uncertainties nor convergence tests with respect to simulation length or system size. Without these data it is impossible to judge whether the non-monotonic mobility-versus-charge-density curves or the pore-size dependence are statistically significant.
minor comments (2)
  1. [Abstract] The phrase 'Inside a charged nanopores' in the abstract is grammatically incorrect and should read 'Inside charged nanopores.'
  2. [Figures] Figure captions should explicitly state the number of independent trajectories and the total sampling time used to compute each mobility datum.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the detailed and constructive report. We address each major comment below and indicate the revisions that will be incorporated in the next version of the manuscript.

read point-by-point responses

  1. Referee: [Methods and Results] The central attribution of mobility reduction to contact-ion-pair formation (neutral pores) and surface trapping (charged pores) rests on the assumption that the chosen all-atom force fields correctly capture ion-ion and ion-surface energetics. No comparison of simulated contact-pair association constants or surface adsorption free energies to experimental benchmarks is provided, leaving open the possibility that the observed trends are force-field artifacts rather than general physical effects.

    Authors: We agree that explicit validation against experimental ion-pairing constants and surface adsorption energies would strengthen the manuscript. The simulations use standard CHARMM parameters for ions together with TIP3P water, which have been employed in multiple prior studies of confined electrolytes. While we did not recompute bulk association constants here, the contact-pairing behavior we observe is consistent with the known increase in pairing under confinement. In the revised manuscript we will add a dedicated paragraph in the Methods section that cites literature benchmarks for these force fields in nanopore and bulk settings and explicitly states that the reported trends are qualitative. No new simulations are required for this addition. revision: partial

  2. Referee: [Abstract and Results] The abstract states that the reported trends 'come directly from the simulations,' yet the manuscript supplies neither tabulated mobility values with statistical uncertainties nor convergence tests with respect to simulation length or system size. Without these data it is impossible to judge whether the non-monotonic mobility-versus-charge-density curves or the pore-size dependence are statistically significant.

    Authors: The referee correctly identifies a presentational gap. In the revised manuscript we will (i) add a table in the main text or SI that lists the computed mobilities together with standard errors obtained from block averaging over independent trajectory segments, and (ii) include a short convergence subsection (or SI note) that reports mobility values as a function of simulation length and system size for representative pore diameters and charge densities. These additions will allow readers to assess the statistical robustness of the non-monotonic trends and the pore-size dependence. revision: yes

Circularity Check

0 steps flagged

No significant circularity; claims rest on MD simulation outputs and interpretive model

full rationale

The paper derives its claims from all-atom MD trajectories examining ion mobility, contact pair formation, and surface trapping effects in nanopores of varying size and charge. The modified first-passage time model is introduced post-simulation as an interpretive framework to account for those observed mechanisms, without any equation reducing by construction to a fitted parameter or self-citation chain. No load-bearing self-definitional steps, uniqueness theorems, or ansatz smuggling appear. The central results are externally falsifiable via independent simulations or experiments and do not presuppose their own outputs.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The work rests on standard molecular-dynamics assumptions plus the validity of the chosen force fields; no new entities are postulated.

axioms (1)
  • domain assumption All-atom force fields and periodic boundary conditions accurately capture ion-ion and ion-wall interactions in sub-6 nm pores.
    Invoked by the choice to run all-atom MD as the primary evidence.

pith-pipeline@v0.9.0 · 5736 in / 1261 out tokens · 19365 ms · 2026-05-24T15:10:01.299784+00:00 · methodology

discussion (0)

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Reference graph

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