Fluctuation-driven instability of nanoscale liquid films on chemically heterogeneous substrates

C Zhao, Z Zhang, T Si - Physics of Fluids, 2023 - pubs.aip.org
The instability and dewetting of bounded liquid films at the nanoscale are shown to strongly
depend on thermal fluctuations. In this work, this fluctuation-driven instability of films on a …

Fluctuating hydrodynamics and the Rayleigh–Plateau instability

B Barker, JB Bell, AL Garcia - Proceedings of the National …, 2023 - National Acad Sciences
The Rayleigh–Plateau instability occurs when surface tension makes a fluid column become
unstable to small perturbations. At nanometer scales, thermal fluctuations are comparable to …

Fluctuation-driven dynamics of liquid nano-threads with external hydrodynamic perturbations

Z Zhang, C Zhao, T Si - Journal of Fluid Mechanics, 2024 - cambridge.org
Instability and rupture dynamics of a liquid nano-thread, subjected to external hydrodynamic
perturbations, are captured by a stochastic lubrication equation (SLE) incorporating thermal …

Interfacial Thermal Fluctuations Stabilize Bulk Nanobubbles

Y Chen, Y Hu, B Wang, X Chu, LW Zhang - Physical Review Letters, 2024 - APS
Consensus on bulk nanobubble stability remains elusive, despite accepted indirect
evidence for longevity. We develop a nanobubble evolution model by incorporating thermal …

[HTML][HTML] A finite element method for stochastic diffusion equations using fluctuating hydrodynamics

P Martínez-Lera, M De Corato - Journal of Computational Physics, 2024 - Elsevier
We present a finite element approach for diffusion problems with thermal fluctuations based
on a fluctuating hydrodynamics model. The governing equations are stochastic partial …

Sixth-order parabolic equation on an interval: Eigenfunction expansion, Green's function, and intermediate asymptotics for a finite thin film with elastic resistance

NC Papanicolaou, IC Christov - Journal of Engineering Mathematics, 2025 - Springer
A linear sixth-order partial differential equation (PDE) of “parabolic” type describes the
dynamics of thin liquid films beneath surfaces with elastic bending resistance when …

A Study of Spherical and Sessile Droplet Dynamics by Fluctuating Hydrodynamics

JB Bell, A Nonaka, AL Garcia - arXiv preprint arXiv:2411.09855, 2024 - arxiv.org
We simulate the mesoscopic dynamics of droplets formed by phase separated fluids at
nanometer scales where thermal fluctuations are significant. Both spherical droplets fully …

Comment on" Brownian motion of droplets induced by thermal noise"

JB Bell, A Nonaka, AL Garcia - arXiv preprint arXiv:2404.01444, 2024 - arxiv.org
We simulate phase separated fluids using the Cahn-Hillard fluctuating hydrodynamic (CH-
FHD) model and measure the statistical properties of capillary waves generated by thermal …

[PDF][PDF] Stochastic Dynamics in Thin Fluid Films

T Stopford - 2023 - tomstopford.com
The publication of the famous Reynolds equation [1], a tool used to find the pressure
distribution in a thin fluid film between two bearings, is thought by many to be the origin of …