ArticlePhysical chemistry chemical physics : PCCP2018
Maxwell-Hall access resistance in graphene nanopores.
Article in Physical chemistry chemical physics : PCCP, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 16 papers.
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Who cites it
16 citing papers in PubMed.
- Article
- Chemistry-driven autonomous nanopore membranes.Nature communications · 2026Article
- Article
- Effective Diameters of Virus-Like Particles Measured by Resistive-Pulse Sensing on In-Plane Nanopore Devices.Analytical chemistry · 2025Article
- Scaling Behavior of Ionic Conductance Dependent on Surface Charge Inside a Single-Digit Nanopore.Molecules (Basel, Switzerland) · 2025Article
- Scalability of nanopore osmotic energy conversion.Exploration (Beijing, China) · 2024Article
- Effective Modulation of Ion Mobility through Solid-State Single-Digit Nanopores.Nanomaterials (Basel, Switzerland) · 2022Article
- Nonlinear electrohydrodynamic ion transport in graphene nanopores.Science advances · 2022Article
- Electric control of ionic transport in sub-nm nanopores.RSC advances · 2021Article
- Diffusion Limitations and Translocation Barriers in Atomically Thin Biomimetic Pores.Entropy (Basel, Switzerland) · 2020Article
- Beyond mass spectrometry, the next step in proteomics.Science advances · 2020Review
- Optimal transport and colossal ionic mechano-conductance in graphene crown ethers.Science advances · 2019Article
- Measurements of the size and correlations between ions using an electrolytic point contact.Nature communications · 2019Article
- Fabrication and practical applications of molybdenum disulfide nanopores.Nature protocols · 2019Article
- Colloquium: Ionic phenomena in nanoscale pores through 2D materials.Reviews of modern physics · 2019Article
- Golden aspect ratio for ion transport simulation in nanopores.Physical review. E · 2018Article
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2 authors.
Funding
Abstract
The resistance due to the convergence from bulk to a constriction, for example, a nanopore, is a mainstay of transport phenomena. In classical electrical conduction, Maxwell, and later Hall for ionic conduction, predicted this access or convergence resistance to be independent of the bulk dimensions and inversely dependent on the pore radius, a, for a perfectly circular pore. More generally, though, this resistance is contextual, it depends on the presence of functional groups/charges and fluctuations, as well as the (effective) constriction geometry/dimensions. Addressing the context generically requires all-atom simulations, but this demands enormous resources due to the algebraically decaying nature of convergence. We develop a finite-size scaling analysis, reminiscent of the treatment of critical phenomena, that makes the convergence resistance accessible in such simulations. This analysis suggests that there is a "golden aspect ratio" for the simulation cell that yields the infinite system result with a finite system. We employ this approach to resolve the experimental and theoretical discrepancies in the radius-dependence of graphene nanopore resistance.
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