Universal scaling of electrochemical information transfer at solid-liquid interfaces

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. Here, we show that the maximum accessible electrochemical information is governed by a single dimensionless screening parameter u, defined as the ratio of the effective electrostatic separation between the interface and probe to the electrostatic propagation length in the solid. The maximum Fisher information follows a universal inverse-square scaling with this parameter. This relation identifies electrostatic screening as a fundamental constraint on information transfer across solid-liquid interfaces and provides quantitative design principles for interfacial electrochemical sensing.

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BibTeX RIS

BibTeX

@misc{kimura2026universal,
  title = {{Universal scaling of electrochemical information transfer at solid-liquid interfaces}},
  author = {Eikichi Kimura and Ashutosh Rathi and Saki Tsuchiya and El Mustapha Mansouri and Sara Mandić and Kristi Kanya Saikia and Keisuke Oshimi and Masazumi Fujiwara and Keigo Arai},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2607.22190},
  eprint = {2607.22190},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.22190},
}

RIS

TY  - UNPB
TI  - Universal scaling of electrochemical information transfer at solid-liquid interfaces
AU  - Eikichi Kimura
AU  - Ashutosh Rathi
AU  - Saki Tsuchiya
AU  - El Mustapha Mansouri
AU  - Sara Mandić
AU  - Kristi Kanya Saikia
AU  - Keisuke Oshimi
AU  - Masazumi Fujiwara
AU  - Keigo Arai
PY  - 2026
DA  - 2026/09/17
PB  - arXiv
DO  - 10.48550/arxiv.2607.22190
UR  - https://arxiv.org/abs/2607.22190
AB  - 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. Here, we show that the maximum accessible electrochemical information is governed by a single dimensionless screening parameter u, defined as the ratio of the effective electrostatic separation between the interface and probe to the electrostatic propagation length in the solid. The maximum Fisher information follows a universal inverse-square scaling with this parameter. This relation identifies electrostatic screening as a fundamental constraint on information transfer across solid-liquid interfaces and provides quantitative design principles for interfacial electrochemical sensing.
ER  -

Abstract

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