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Universal scaling of electrochemical information transfer at solid-liquid interfaces
Eikichi Kimura, Ashutosh Rathi, Saki Tsuchiya, El Mustapha Mansouri, Sara Mandi\'{c}, Kristi Kanya Saikia, Keisuke Oshimi, Masazumi Fujiwara, Keigo Arai
https://arxiv.org/abs/2607.22190 https://arxiv.org/pdf/2607.22190 https://arxiv.org/html/2607.22190
arXiv:2607.22190v1 Announce Type: new
Abstract: Electrochemical potentials at solid-liquid interfaces govern diverse chemical and energy conversion processes; however, the extent to which their electrochemical influence extends into the solid remains unclear. This study demonstrates that the maximally accessible electrochemical information is controlled by a single dimensionless factor $u$, defined as the ratio of the effective electrostatic separation between the liquid and probe locations to the electrostatic propagation length in the solid. The resulting universal inverse-square scaling is independent of the microscopic details of the probe. This attenuation law identifies electrostatic screening as a fundamental constraint on information transfer across solid-liquid interfaces, providing quantitative design principles for subsurface electrochemical sensing.
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