Work

Negative differential capacitance from composition-dependent Stern capacitance in a binary mixture

Year: 2026
Type: article
Abstract: We develop a thermodynamic theory of electric double layers in binary liquid mixtures by allowing the Stern-layer capacitance to depend on the local solvent composition. This coupling produces an additional negative contribution to the inverse differential capacitance. As a result, the surface potential can become a nonmonotonic function of the surface charge density, leading to negative differential capacitance and a voltage-induced first-order transition between two electric-double-layer states. We determine the coexistence condition using a common-tangent construction for the surface-charge-controlled grand potential and obtain phase diagrams in terms of the inverse-capacitance contrast of the Stern layer, surface charge density, bulk composition, and surface potential. We also compare the theory with capacitance data for tetrabutylammonium chloride in water/1-propanol mixtures, finding semi-quantitative agreement in the continuous-response regime. These results suggest that solvent exchange inside the Stern layer can strongly control the capacitance and interfacial phase behavior of binary mixtures.
Author: Yuki Uematsu
Institution: Kyoto University
Language: English
Field: Chemistry
Open Access status: green
OpenAlex ID: W7172517170
FWCI:
Cites: 25
Cited by:
Related to: 10