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Thermal capillary waves on bounded nanoscale thin films
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Liu, Jingbang, Zhao, Chengxi, Lockerby, Duncan A. and Sprittles, James E. (2023) Thermal capillary waves on bounded nanoscale thin films. Physical Review E, 107 (1). 015105 . doi:10.1103/PhysRevE.107.015105 ISSN 1539-3755.
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Official URL: https://doi.org/10.1103/PhysRevE.107.015105
Abstract
The effect of confining walls on the fluctuation of a nanoscale thin film’s free surface is studied using the stochastic thin-film equations (STFE). Two canonical boundary conditions are employed to reveal the influence of the confinement: (i) an imposed contact angle and (ii) a pinned contact line. A linear stability analysis provides the wave eigenmodes, after which thermal-capillary-wave theory predicts the wave fluctuation amplitudes. Molecular dynamics (MD) simulations are performed to test the predictions and a Langevin diffusion model is proposed to capture oscillations of the contact-lines observed in MD. Good agreement between the theoretical predictions and the MD simulation results is recovered, and it is discovered that confinement can influence the entire film. Notably, a constraint on the length scale of wave modes is found to affect fluctuation amplitudes from our theoretical model, especially for 3D films. This opens up new challenges and future lines of inquiry.
Item Type: | Journal Article | |||||||||||||||||||||||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | |||||||||||||||||||||||||||
Journal or Publication Title: | Physical Review E | |||||||||||||||||||||||||||
Publisher: | American Physical Society | |||||||||||||||||||||||||||
ISSN: | 1539-3755 | |||||||||||||||||||||||||||
Official Date: | 23 January 2023 | |||||||||||||||||||||||||||
Dates: |
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Volume: | 107 | |||||||||||||||||||||||||||
Number: | 1 | |||||||||||||||||||||||||||
Number of Pages: | 25 | |||||||||||||||||||||||||||
Article Number: | 015105 | |||||||||||||||||||||||||||
DOI: | 10.1103/PhysRevE.107.015105 | |||||||||||||||||||||||||||
Status: | Peer Reviewed | |||||||||||||||||||||||||||
Publication Status: | Published | |||||||||||||||||||||||||||
Access rights to Published version: | Restricted or Subscription Access | |||||||||||||||||||||||||||
Date of first compliant deposit: | 19 January 2023 | |||||||||||||||||||||||||||
Date of first compliant Open Access: | 30 January 2023 | |||||||||||||||||||||||||||
RIOXX Funder/Project Grant: |
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