Foundations of Small Scale Hydrodynamics with External Friction and Slip
Understanding and predicting the behaviour of liquids at interfaces poses formidable scientific challenges and is highly relevant for the thriving fields of micro- and nanofluidics. External friction forces, such as in liquids slipping over solids, play a central role. This work presents a well-foun...
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| Format: | Online |
| Language: | English |
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FAU University Press
2025
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| Online Access: | ONIX_20251215T160703_9783944057507_15 |
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| _version_ | 1869528592951541760 |
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| author | Reichelsdorfer, Martin |
| author_browse | Reichelsdorfer, Martin |
| author_facet | Reichelsdorfer, Martin |
| author_sort | Reichelsdorfer, Martin |
| collection | Directory of Open Access Books |
| description | Understanding and predicting the behaviour of liquids at interfaces poses formidable scientific challenges and is highly relevant for the thriving fields of micro- and nanofluidics. External friction forces, such as in liquids slipping over solids, play a central role. This work presents a well-founded extension of (generalised) fluctuating hydrodynamics to systems with slip boundaries or more general external friction forces. The theory naturally includes thermal fluctuations, which become important on small length scales. Moreover, they are fundamentally related to dissipative processes and reveal microscopic details of friction. A resulting fluctuating slip boundary condition is applied to derive stochastic thin film equations on slip substrates and to calculate the autocorrelation function of the tangential interaction force at a liquid-solid boundary. In addition, a complementary approach for arbitrary small (classical) scales offers an alternative description. The formalism transfers notions from macroscopic hydrodynamics to the microscale, and external friction appears as a combination of static external forces and additional viscous dissipation. |
| format | Online |
| id | doab-20.500.12854ir-170199 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2025 |
| publishDateRange | 2025 |
| publishDateSort | 2025 |
| publisher | FAU University Press |
| publisherStr | FAU University Press |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1701992025-12-16T05:18:44Z Foundations of Small Scale Hydrodynamics with External Friction and Slip Reichelsdorfer, Martin Langevin-Gleichung Hydrodynamik Fluktuations-Dissipations-Theorem thema EDItEUR::P Mathematics and Science Understanding and predicting the behaviour of liquids at interfaces poses formidable scientific challenges and is highly relevant for the thriving fields of micro- and nanofluidics. External friction forces, such as in liquids slipping over solids, play a central role. This work presents a well-founded extension of (generalised) fluctuating hydrodynamics to systems with slip boundaries or more general external friction forces. The theory naturally includes thermal fluctuations, which become important on small length scales. Moreover, they are fundamentally related to dissipative processes and reveal microscopic details of friction. A resulting fluctuating slip boundary condition is applied to derive stochastic thin film equations on slip substrates and to calculate the autocorrelation function of the tangential interaction force at a liquid-solid boundary. In addition, a complementary approach for arbitrary small (classical) scales offers an alternative description. The formalism transfers notions from macroscopic hydrodynamics to the microscale, and external friction appears as a combination of static external forces and additional viscous dissipation. 2025-12-16T05:18:42Z 2025-12-16T05:18:42Z 2025-12-15T15:09:19Z 2016 book ONIX_20251215T160703_9783944057507_15 https://library.oapen.org/handle/20.500.12657/109184 9783944057507 9783944057491 https://directory.doabooks.org/handle/20.500.12854/170199 eng FAU Studies Mathematics & Physics open access image/jpeg n/a https://library.oapen.org/bitstream/20.500.12657/109184/1/9783944057507.pdf FAU University Press 2c600dea-eece-4066-87be-da335e323fdb 9783944057507 9783944057491 299 Erlangen open access |
| spellingShingle | Langevin-Gleichung Hydrodynamik Fluktuations-Dissipations-Theorem thema EDItEUR::P Mathematics and Science Reichelsdorfer, Martin Foundations of Small Scale Hydrodynamics with External Friction and Slip |
| title | Foundations of Small Scale Hydrodynamics with External Friction and Slip |
| title_full | Foundations of Small Scale Hydrodynamics with External Friction and Slip |
| title_fullStr | Foundations of Small Scale Hydrodynamics with External Friction and Slip |
| title_full_unstemmed | Foundations of Small Scale Hydrodynamics with External Friction and Slip |
| title_short | Foundations of Small Scale Hydrodynamics with External Friction and Slip |
| title_sort | foundations of small scale hydrodynamics with external friction and slip |
| topic | Langevin-Gleichung Hydrodynamik Fluktuations-Dissipations-Theorem thema EDItEUR::P Mathematics and Science |
| topic_facet | Langevin-Gleichung Hydrodynamik Fluktuations-Dissipations-Theorem thema EDItEUR::P Mathematics and Science |
| url | ONIX_20251215T160703_9783944057507_15 |
| work_keys_str_mv | AT reichelsdorfermartin foundationsofsmallscalehydrodynamicswithexternalfrictionandslip |