Microscopic derivation of the thin film equation using the Mori–Zwanzig formalism.

Uloženo v:
Podrobná bibliografie
Název: Microscopic derivation of the thin film equation using the Mori–Zwanzig formalism.
Autoři: te Vrugt, Michael, Topp, Leon, Wittkowski, Raphael, Heuer, Andreas
Zdroj: Journal of Chemical Physics; 9/7/2024, Vol. 161 Issue 9, p1-13, 13p
Témata: MOLECULAR dynamics, THIN films, DENSITY functional theory, PARTICLE dynamics, HYDRODYNAMICS
Abstrakt: The hydrodynamics of thin films is typically described using macroscopic models whose connection to the microscopic particle dynamics is a subject of ongoing research. Existing methods based on density functional theory provide a good description of static thin films but are not sufficient for understanding nonequilibrium dynamics. In this work, we present a microscopic derivation of the thin film equation using the Mori–Zwanzig projection operator formalism. This method allows to directly obtain the correct gradient dynamics structure along with microscopic expressions for mobility and free energy. Our results are verified against molecular dynamics simulations for both simple fluids and polymers. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Chemical Physics is the property of American Institute of Physics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Databáze: Complementary Index
Popis
Abstrakt:The hydrodynamics of thin films is typically described using macroscopic models whose connection to the microscopic particle dynamics is a subject of ongoing research. Existing methods based on density functional theory provide a good description of static thin films but are not sufficient for understanding nonequilibrium dynamics. In this work, we present a microscopic derivation of the thin film equation using the Mori–Zwanzig projection operator formalism. This method allows to directly obtain the correct gradient dynamics structure along with microscopic expressions for mobility and free energy. Our results are verified against molecular dynamics simulations for both simple fluids and polymers. [ABSTRACT FROM AUTHOR]
ISSN:00219606
DOI:10.1063/5.0217535