Fluctuation-driven instability of nanoscale liquid films on chemically heterogeneous substrates
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 …
depend on thermal fluctuations. In this work, this fluctuation-driven instability of films on a …
Fluctuating hydrodynamics and the Rayleigh–Plateau instability
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 …
unstable to small perturbations. At nanometer scales, thermal fluctuations are comparable to …
Fluctuation-driven dynamics of liquid nano-threads with external hydrodynamic perturbations
Instability and rupture dynamics of a liquid nano-thread, subjected to external hydrodynamic
perturbations, are captured by a stochastic lubrication equation (SLE) incorporating thermal …
perturbations, are captured by a stochastic lubrication equation (SLE) incorporating thermal …
Interfacial Thermal Fluctuations Stabilize Bulk Nanobubbles
Consensus on bulk nanobubble stability remains elusive, despite accepted indirect
evidence for longevity. We develop a nanobubble evolution model by incorporating thermal …
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 …
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 …
dynamics of thin liquid films beneath surfaces with elastic bending resistance when …
A Study of Spherical and Sessile Droplet Dynamics by Fluctuating Hydrodynamics
We simulate the mesoscopic dynamics of droplets formed by phase separated fluids at
nanometer scales where thermal fluctuations are significant. Both spherical droplets fully …
nanometer scales where thermal fluctuations are significant. Both spherical droplets fully …
Comment on" Brownian motion of droplets induced by thermal noise"
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 …
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 …
distribution in a thin fluid film between two bearings, is thought by many to be the origin of …