Liquid Surfaces with Chaotic Capillary Waves Exhibit an Effective Surface Tension
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Date
2025-12-15
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**Introduction**
This folder structure contains the relevant references to data and scripts used for the following publication:
Steffen Bisswanger, Henning Bonart, Pyi Thein Khaing, and Steffen Hardt. "Liquid Surfaces with Chaotic Capillary Waves Exhibit an Effective Surface Tension." Physical Review Letters 133, no. 3 (2024): 034001
Please follow the publication to understand the experimental setup and the procedure for data evaluation.
**Experimental raw data**
Due to the size of the raw data, it is only available upon request from the authors, and not deposited on the public repository except from the data corresponding to a single experimental run as an example. The experimental data has the following structure:
Naming scheme:
YYMMDD/
├─ session_xx/
│ ├─ run_01/
│ │ ├─ YYMMDD_sxx_r01.nd2 # contains raw image data (1 fps); proprietary format readable with imagej plugin
│ │ ├─ jpg/ # contains unpacked frames (.jpg-files)
│ │ ├─ eval/ # contains marked holes to check post processing for screw-ups (.jpg-files)
│ │ ├─ YYMMDD_sxx_r01.csv # contains raw data from laser line sensor
│ │ ├─ eval.csv # contains the evaluated data of the experiment, including wave energy density measurement
│ │ ├─ energy_density_spectra_rel.csv # contains the energy density spectra for each point in the laser line (rel = rigid body motion of substrate is already substracted)
│ │ ├─ spectrum_noise_reduction_rel.csv # contains the (over many points on the laser line) averaged spectrum, with white noise background substraction applied
│ │ ├─
│ ├─ run_02/
│ ├─ ...
│ ├─ run_11/
│ ├─ vibration_data/
Each session is conducted at a constant volume (except from the experiments with constant amplitude available upon request). Each run can be seen as a quasi static experiment corresponding to a specific set of parameters.
The folder "YYMMDD_sxx_vibration_data" is session-specific amd contains the vibration data (frequency and amplitude) corresponding to all the runs.
**Scripts to process and evaluate experimental data as well as to obtain numerical solutions**
- iso_lc_data -
Contains the script used for calculating the iso lc-lines (constant capillary length) shown in figure 2.
- wave energy measurement -
Contains the scripts used for the postprocessing of the laser sheet sensor data, giving the wave energy density measurement.
- bayesian_inference
Contains the scripts for the inference of the capillary lengths from the experimental data used for figure 5 including the forward model, its surrogate model, likelihood functions, Bayesian inference via ADVI, as well as the visualization of intermediate results and the figures in the supplemental material.
** results.csv **
Contains the summarized results.
Day # day of the recorded data
Volume # liquid volume inside the reservoir in units of ml
Velocity_Amplitude # velocity amplitude of the shaker in m/s
Frequency # frequency of the shaker in Hz
Wave_Energy_1000 # wave enegry density (integrared up to 1000 Hz) in N / m * s
Apparent_Defect_Radius # radius of the dry spot as seen from above (smaller than acual due to meniscus) in mm
Apparent_Contact_Line_Length # bounding length of the (not exactly circular) dry spot in mm
Apparent_Defect_Radius_px # radius of the dry spot as seen from above (smaller than acual due to meniscus) in px
Defect_Location_x # x-location of the center of the dry spot in mm
Defect_Location_y # y-location of the center of the dry spot in mm
Acceleration_Amplitude # acceleration amplitude of the shaker in m / s^2
Wave_Energy_1000_std # standard deviation of the energy density spectra (integrated up to 1000 Hz) in N / m * s
Wave_Energy_1414 # averaged wave energy density (if integrated up to 1414 Hz) in N / m * s
Wave_Energy_1414_noise_reducted Wave_Energy_1414_std # averaged, noise reduced wave energy density (if integrated up to 1414 Hz) in N / m * s
image # name of corresponding image
caS_mean
DeltaV_mean
caS_low caS_high
DeltaV_low
DeltaV_high
lc_static_mean
lc_static_low
lc_static_high
lc_mean lc_low
lc_high Srad_mean
Srad_low
Srad_high
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https://doi.org/10.1103/PhysRevLett.133.034001DFG Classification
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Except where otherwise noted, this license is described as CC BY-NC-ND 4.0