Formalizing Poisson-Boltzmann Theory for Field-Tunable Nanofluidic Devices

Fuente: arXiv
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Autores principales: Zhao, Zhongyuan, Qi, Chudi, Li, Yuheng, Fan, Shoushan, Li, Qunqing, Wei, Yang
Formato: Preprint
Publicado: 2026
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author Zhao, Zhongyuan
Qi, Chudi
Li, Yuheng
Fan, Shoushan
Li, Qunqing
Wei, Yang
author_facet Zhao, Zhongyuan
Qi, Chudi
Li, Yuheng
Fan, Shoushan
Li, Qunqing
Wei, Yang
contents Nanofluidic devices prompts unconventional ion transports appealing to energy and information technologies, thanks to the susceptibility of confined electric double layers (EDL) to various external physical fields. Although experimental studies advance rapidly, the rationalization of field-tunable nanofluidic transports has not reached a formalized and unified level. Here we formally reformulate the Poisson-Boltzmann theory and reveal distinct EDL regimes on the parameter space. Based on the regime classification, we establish a formal framework for the tunable nanofluidic transport, which reproduces the observed conductivity-concentration scaling behaviors, rationalizes the ionic transistors with reconfigurable polarities, and predicts two fundamental thermodynamic limits for electrostatic modulation (60 mV/dec and 120 mV/dec). Being accurate, generalizable and extensible, this framework can account for a wide range of ion transports in confined spaces.
format Preprint
id arxiv_https___arxiv_org_abs_2604_14777
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Formalizing Poisson-Boltzmann Theory for Field-Tunable Nanofluidic Devices
Zhao, Zhongyuan
Qi, Chudi
Li, Yuheng
Fan, Shoushan
Li, Qunqing
Wei, Yang
Mesoscale and Nanoscale Physics
Applied Physics
Nanofluidic devices prompts unconventional ion transports appealing to energy and information technologies, thanks to the susceptibility of confined electric double layers (EDL) to various external physical fields. Although experimental studies advance rapidly, the rationalization of field-tunable nanofluidic transports has not reached a formalized and unified level. Here we formally reformulate the Poisson-Boltzmann theory and reveal distinct EDL regimes on the parameter space. Based on the regime classification, we establish a formal framework for the tunable nanofluidic transport, which reproduces the observed conductivity-concentration scaling behaviors, rationalizes the ionic transistors with reconfigurable polarities, and predicts two fundamental thermodynamic limits for electrostatic modulation (60 mV/dec and 120 mV/dec). Being accurate, generalizable and extensible, this framework can account for a wide range of ion transports in confined spaces.
title Formalizing Poisson-Boltzmann Theory for Field-Tunable Nanofluidic Devices
topic Mesoscale and Nanoscale Physics
Applied Physics
url https://arxiv.org/abs/2604.14777