Charge fluctuations in nano-scale capacitors
David T. Limmer, C\'eline Merlet, Mathieu Salanne, David Chandler,, Paul A. Madden, Ren\'e van Roij, Benjamin Rotenberg

TL;DR
This paper introduces a molecular dynamics simulation method in a constant-potential ensemble to analyze charge fluctuations in nano-scale capacitors, revealing insights into microscopic correlations and capacitance properties across different electrolytes.
Contribution
It presents an efficient, accurate approach to compute differential capacitance from charge fluctuations, applicable to various electrode-electrolyte systems.
Findings
Charge distributions are Gaussian for water and electrolytes, non-Gaussian for ionic liquids.
Method provides detailed insights into interfacial fluid organization.
Approach enhances understanding of microscopic correlations affecting capacitance.
Abstract
The fluctuations of the charge on an electrode contain information on the microscopic correlations within the adjacent fluid and their effect on the electronic properties of the interface. We investigate these fluctuations using molecular dynamics simulations in a constant-potential ensemble with histogram reweighting techniques. This approach offers in particular an efficient, accurate and physically insightful route to the differential capacitance that is broadly applicable. We demonstrate these methods with three different capacitors: pure water between platinum electrodes, and a pure as well as a solvent-based organic electrolyte each between graphite electrodes. The total charge distributions with the pure solvent and solvent-based electrolytes are remarkably Gaussian, while in the pure ionic liquid the total charge distribution displays distinct non-Gaussian features, suggesting…
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