Thermal capillary waves on bounded nanoscale thin films
The effect of confining walls on the fluctuation of a nanoscale thin film's free surface is studied using stochastic thin-film equations (STFEs). Two canonical boundary conditions are employed to reveal the influence of the confinement: (1) an imposed contact angle and (2) a pinned contact line...
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| description | The effect of confining walls on the fluctuation of a nanoscale thin film's free surface is studied using stochastic thin-film equations (STFEs). Two canonical boundary conditions are employed to reveal the influence of the confinement: (1) an imposed contact angle and (2) 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 simulations. 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 challenges and future lines of inquiry. |
| doi_str_mv | 10.48550/arxiv.2301.09798 |
| format | Article |
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Two canonical boundary conditions are employed to reveal the influence of the confinement: (1) an imposed contact angle and (2) 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 simulations. 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. 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Two canonical boundary conditions are employed to reveal the influence of the confinement: (1) an imposed contact angle and (2) 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 simulations. 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 challenges and future lines of inquiry.</description><subject>Amplitudes</subject><subject>Boundary conditions</subject><subject>Capillary waves</subject><subject>Confinement</subject><subject>Contact angle</subject><subject>Free surfaces</subject><subject>Molecular dynamics</subject><subject>Physics - Fluid Dynamics</subject><subject>Simulation</subject><subject>Stability analysis</subject><subject>Thin films</subject><subject>Three dimensional models</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><sourceid>GOX</sourceid><recordid>eNotj8lqwzAURUWh0JDmA7qqoGu78pNlScsSOkGgG-_N00Qc5KFWnLZ_Xzfp6m4Ol3MIuStYXioh2CNO3-0pB86KnGmp1RVZAedFpkqAG7JJ6cAYg0qCEHxFZL33U4eRWhzbGHH6oV948okOPTXD3DvvaI_9kCxGT4_7tqehjV26JdcBY_Kb_12T-uW53r5lu4_X9-3TLkMBKrMopfNcOi4rxoWzOmhAYUIBQnEIzAo06GUBVoFhYDR6Yx04CE5VoeJrcn-5PVc149R2i2LzV9ec6xbi4UKM0_A5-3RsDsM89YtTA7LSJZdKKf4L6cZSgg</recordid><startdate>20230124</startdate><enddate>20230124</enddate><creator>Liu, Jingbang</creator><creator>Zhao, Chengxi</creator><creator>Lockerby, Duncan A</creator><creator>Sprittles, James E</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>GOX</scope></search><sort><creationdate>20230124</creationdate><title>Thermal capillary waves on bounded nanoscale thin films</title><author>Liu, Jingbang ; Zhao, Chengxi ; Lockerby, Duncan A ; Sprittles, James E</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a528-ca77de37d376035dc9f92a5bf125832f0c5abae712c82b02b9aebcd2d2fd86f63</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Amplitudes</topic><topic>Boundary conditions</topic><topic>Capillary waves</topic><topic>Confinement</topic><topic>Contact angle</topic><topic>Free surfaces</topic><topic>Molecular dynamics</topic><topic>Physics - Fluid Dynamics</topic><topic>Simulation</topic><topic>Stability analysis</topic><topic>Thin films</topic><topic>Three dimensional models</topic><toplevel>online_resources</toplevel><creatorcontrib>Liu, Jingbang</creatorcontrib><creatorcontrib>Zhao, Chengxi</creatorcontrib><creatorcontrib>Lockerby, Duncan A</creatorcontrib><creatorcontrib>Sprittles, James E</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Liu, Jingbang</au><au>Zhao, Chengxi</au><au>Lockerby, Duncan A</au><au>Sprittles, James E</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Thermal capillary waves on bounded nanoscale thin films</atitle><jtitle>arXiv.org</jtitle><date>2023-01-24</date><risdate>2023</risdate><eissn>2331-8422</eissn><abstract>The effect of confining walls on the fluctuation of a nanoscale thin film's free surface is studied using stochastic thin-film equations (STFEs). 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| subjects | Amplitudes Boundary conditions Capillary waves Confinement Contact angle Free surfaces Molecular dynamics Physics - Fluid Dynamics Simulation Stability analysis Thin films Three dimensional models |
| title | Thermal capillary waves on bounded nanoscale thin films |
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