印加された均一な直流電場によって駆動される変動する生体模倣膜の不安定性
Zongxin Yu1, Shuozhen Zhao1, Michael J Miksis1
1Northwestern University, Engineering Sciences and Applied Mathematics, Evanston, Illinois 60208, USA.
Abstract:
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.
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