Instability of a fluctuating biomimetic membrane driven by an applied uniform DC electric field

Fuente: arXiv
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Main Authors: Yu, Zongxin, Zhao, Shuozhen, Miksis, Michael J., Vlahovska, Petia M.
Format: Preprint
Published: 2025
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author Yu, Zongxin
Zhao, Shuozhen
Miksis, Michael J.
Vlahovska, Petia M.
author_facet Yu, Zongxin
Zhao, Shuozhen
Miksis, Michael J.
Vlahovska, Petia M.
contents The linear stability of a lipid membrane under a DC electric field, applied perpendicularly to the interface, is investigated in the electrokinetic framework, taking into account the dynamics of the Debye layers formed near the membrane. The perturbed charge in the Debye layers redistributes and generates destabilizing Maxwell stress on the membrane, which outweighs the stabilizing contribution from the electrical body force, leading to a net destabilizing effect. The instability is suppressed as the difference in the electrolyte concentration of the solutions separated by the membrane increases, due to a weakened base state electric field near the membrane. This result contrasts with the destabilizing effect predicted using the leaky dielectric model in cases of asymmetric conductivity. We attribute this difference to the varying assumptions about the perturbation amplitude relative to the Debye length, which result in different regimes of validity for the linear stability analysis within these two frameworks.
format Preprint
id arxiv_https___arxiv_org_abs_2502_12551
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Instability of a fluctuating biomimetic membrane driven by an applied uniform DC electric field
Yu, Zongxin
Zhao, Shuozhen
Miksis, Michael J.
Vlahovska, Petia M.
Soft Condensed Matter
Biological Physics
The linear stability of a lipid membrane under a DC electric field, applied perpendicularly to the interface, is investigated in the electrokinetic framework, taking into account the dynamics of the Debye layers formed near the membrane. The perturbed charge in the Debye layers redistributes and generates destabilizing Maxwell stress on the membrane, which outweighs the stabilizing contribution from the electrical body force, leading to a net destabilizing effect. The instability is suppressed as the difference in the electrolyte concentration of the solutions separated by the membrane increases, due to a weakened base state electric field near the membrane. This result contrasts with the destabilizing effect predicted using the leaky dielectric model in cases of asymmetric conductivity. We attribute this difference to the varying assumptions about the perturbation amplitude relative to the Debye length, which result in different regimes of validity for the linear stability analysis within these two frameworks.
title Instability of a fluctuating biomimetic membrane driven by an applied uniform DC electric field
topic Soft Condensed Matter
Biological Physics
url https://arxiv.org/abs/2502.12551