Electrical Response of Nanofluidic Systems Subjected to Viscosity Gradients
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866911006805983232 |
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| author | Abu-Rjal, Ramadan Siwy, Zuzanna S. Green, Yoav |
| author_facet | Abu-Rjal, Ramadan Siwy, Zuzanna S. Green, Yoav |
| contents | It is expected that the introduction of a viscosity gradient across a nanofluidic system will drastically vary its current-voltage response, $i-V$. However, to date, there is no self-consistent theoretical model that can be used to fully characterize such a system. This work provides an internally self-consistent model that details all the key characteristics of ion transport through a nanofluidic system for an arbitrary viscosity field. In particular, this work addresses three separate issues. First, we provide a new expression for the Ohmic conductance, $g_{Ohmic} = i/V$. Second, several previous theoretical studies have suggested that the introduction of a viscosity gradient can result in the shift of the $i-V$ such that it does not cross the origin. This work unequivocally shows that the $i-V$ is expected to always cross the origin. Third, we demonstrate that even without electroosmotic flows, the introduction of a viscosity gradient results in current rectification. Importantly, all theoretical results are verified by non-approximated numerical simulations. This work provides the appropriate framework to analyze and interpret experimental and numerical simulations of nanofluidic systems subject to a viscosity gradient. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_13778 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Electrical Response of Nanofluidic Systems Subjected to Viscosity Gradients Abu-Rjal, Ramadan Siwy, Zuzanna S. Green, Yoav Mesoscale and Nanoscale Physics Applied Physics Chemical Physics It is expected that the introduction of a viscosity gradient across a nanofluidic system will drastically vary its current-voltage response, $i-V$. However, to date, there is no self-consistent theoretical model that can be used to fully characterize such a system. This work provides an internally self-consistent model that details all the key characteristics of ion transport through a nanofluidic system for an arbitrary viscosity field. In particular, this work addresses three separate issues. First, we provide a new expression for the Ohmic conductance, $g_{Ohmic} = i/V$. Second, several previous theoretical studies have suggested that the introduction of a viscosity gradient can result in the shift of the $i-V$ such that it does not cross the origin. This work unequivocally shows that the $i-V$ is expected to always cross the origin. Third, we demonstrate that even without electroosmotic flows, the introduction of a viscosity gradient results in current rectification. Importantly, all theoretical results are verified by non-approximated numerical simulations. This work provides the appropriate framework to analyze and interpret experimental and numerical simulations of nanofluidic systems subject to a viscosity gradient. |
| title | Electrical Response of Nanofluidic Systems Subjected to Viscosity Gradients |
| topic | Mesoscale and Nanoscale Physics Applied Physics Chemical Physics |
| url | https://arxiv.org/abs/2409.13778 |