Dynamics of a bilayer membrane with membrane-solvent partial slip boundary conditions |
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Authors: | Kento Yasuda Ryuichi Okamoto Jean-Baptiste Fournier |
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Institution: | 1. Department of Chemistry, Graduate School of Science, Tokyo Metropolitan University, Tokyo, Japan;2. Research Institute for Interdisciplinary Science, Okayama University, Okayama, Japan;3. Laboratoire Matiére et Systémes Complexes (MSC), Université Paris Diderot, Sorbonne Paris Cité, Paris, France |
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Abstract: | We discuss the dynamics of a bilayer membrane with partial slip boundary conditions between the monolayers and the bulk fluid. Using Onsager’s variational principle to account for the associated dissipations, we derive the coupled dynamic equations for the membrane height and the excess lipid density. The newly introduced friction coe?cients appear in the renormalized fluid viscosities. For ordinary lipid bilayer membranes, we find that it is generally justified to ignore the e?ects of permeation and parallel slip at the membrane surface. |
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Keywords: | Dissipation hydrodynamics membranes relaxation rate |
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