Hydrodynamic effects on concentration fluctuations in multicomponent membranes

TL;DR

This paper studies how hydrodynamic interactions influence concentration fluctuations in multicomponent membranes, considering different geometries and comparing numerical results with analytical expressions to understand membrane dynamics.

Contribution

It provides a numerical analysis of the wavenumber dependence of diffusion in multicomponent membranes, exploring geometrical effects and drawing analogies to microemulsions.

Findings

Hydrodynamic effects significantly alter concentration fluctuation dynamics.

Numerical results align with analytical expressions in certain limits.

Membrane behavior resembles 2D microemulsions under confinement.

Abstract

We investigate the hydrodynamic effects on the dynamics of critical concentration fluctuations in multicomponent fluid membranes. Two geometrical cases are considered; (i) confined membrane case and (ii) supported membrane case. We numerically calculate the wavenumber dependence of the effective diffusion coefficient by changing the temperature and/or the thickness of the bulk fluid. For some limiting cases, the result is compared with the previously obtained analytical expression. An analogy of the multicomponent membrane to 2D microemulsion is explored for the confined membrane geometry.