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Thermal shape fluctuations of a two-dimensional compressible droplet

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Abstract

Analysis of thermal capillary waves on the surface of a liquid usually assumes incompressibility of the bulk fluid. However, for droplets or bubbles with submicronic size, or for epithelial cells whose out-of-plane elongation can be modeled by an effective 2D bulk modulus, compressibility of the internal fluid must be taken into account for the characterization of their shape fluctuations. We present a theoretical analysis of the fluctuations of a two-dimensional compressible droplet. Analytical expressions for area, perimeter and energy fluctuations are derived and compared with Cellular Potts Model (CPM) simulations. This comparison shows a very good agreement between theory and simulations, and offers a precise calibration method for CPM simulations.

Graphical abstract: Thermal shape fluctuations of a two-dimensional compressible droplet

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Article information


Submitted
16 Jun 2020
Accepted
08 Sep 2020
First published
10 Sep 2020

This article is Open Access

Soft Matter, 2020, Advance Article
Article type
Paper

Thermal shape fluctuations of a two-dimensional compressible droplet

F. Villemot, A. Calmettes and M. Durand, Soft Matter, 2020, Advance Article , DOI: 10.1039/D0SM01113D

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