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- W4290634503 abstract "The effects of thermal fluctuations on nanoscale flows are captured by a numerical scheme that is underpinned by fluctuating hydrodynamics. A stochastic lubrication equation (SLE) is solved on non-uniform adaptive grids to study a series of nanoscale thin-film flows. The Fornberg scheme is used for high-resolution spatial discretisation and a fully-implicit time-marching scheme is designed for numerical stability. The accuracy of the numerical method is verified against theoretical results for thermal capillary waves during the linear stage of their development. The framework is then used to study the nonlinear behaviour of three bounded thin-film flows: (i) droplet spreading, where new power laws are derived; (ii) droplet coalescence, where molecular dynamics results are reproduced by the SLE at a fraction of the computational cost and it is discovered that thermal fluctuations decelerate the process, in contrast to previously investigated phenomena; and (iii) thin-film rupture, where, in the regime considered, disjoining pressure dominates the final stages of rupture." @default.
- W4290634503 created "2022-08-08" @default.
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- W4290634503 date "2022-02-15" @default.
- W4290634503 modified "2023-09-24" @default.
- W4290634503 title "Fluctuation-driven dynamics in nanoscale thin-film flows: physical insights from numerical investigations" @default.
- W4290634503 doi "https://doi.org/10.48550/arxiv.2202.07410" @default.
- W4290634503 hasPublicationYear "2022" @default.
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