Capillary wave formation in conserved active emulsions -- Additional material

This repository contains simulation files and supplementary material used to obtain the data presented in the manuscript "Capillary wave formation in conserved active emulsions". This includes Comsol (".mph") files for the FEM simulations, Mathematica notebooks (".nb") for the linear stability analysis of homogeneous states and interface solutions, and Julia files (".jl") used for data evaluation and visualization. Comsol: crawlingGear.mph Simulates the dynamics of an isolated liquid gear between two horizontal plates flatInterface.mph Simulates the dynamics of flat interface solutions as shown in Figs. 4, 5a, 8--10 gearFigure.mph Simulates the dynamics of an isolated gear in a square domain with no-flux boundaries. lsaFigure.mph Used to construct the phase diagrams shown in the appendix overviewFigure.mph Used to simulate the model dynamics in different parameter regimes shown in Fig.2 sphericalInterface.mph Simulates the dynamics of spherical interface solutions as shown in the appendix. For most files, parameters need to be adapted according to the manuscript. Mathematica: homogeneousLSA.nb Used to analyze the linear stability of the homogeneous steady state flatInterfaceFiniteLSA.nb flatInterfaceInfiniteLSA.nb Used to analyze the stability of flat interface solutions sphericalInterfaceLSA.nb Used to analyze the stability of spherical interface solutions Julia: categorization.jl Plot the different interfacial instabilities shown in Fig.4 conveyorBelt.jl Extract the transport efficiency of liquid conveyor belts current.jl Analyze the emergent currents due to capillary waves traveling along interfaces gears.jl Analyze the motion of a liquid gear between two horizontal plates overview.jl Plot the different dynamic and static regimes shown in Fig.2 superposition.jl Analyze the long-time stability of finite amplitude capillary waves velocity.jl Extract the capillary wave velocity as shown in Fig.10 wavelength.jl Extract the dominant unstable mode of a flat interface as shown in Fig.9 These files are minimal working examples to reproduce the results in the manuscript, including example data. Where the data cannot be easily obtained from the Comsol files, we provide the full dataset in the folder "data.zip".