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Related papers: Instability, rupture and fluctuations in thin liqu…

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We study numerically the effect of thermal fluctuations and of variable fluid-substrate interactions on the spontaneous dewetting of thin liquid films. To this aim, we use a recently developed lattice Boltzmann method for thin liquid film…

Fluid Dynamics · Physics 2021-09-08 Stefan Zitz , Andrea Scagliarini , Jens Harting

The spontaneous formation of droplets via dewetting of a thin fluid film from a solid substrate allows for materials nanostructuring, under appropriate experimental control. While thermal fluctuations are expected to play a role in this…

Soft Condensed Matter · Physics 2015-05-21 S. Nesic , R. Cuerno , E. Moro , L. Kondic

We study the effects of stochastic thermal fluctuations on the instability of the free surface of a flat liquid film upon a solid substrate. These fluctuations are represented as a standard Brownian motion that can be added to the…

Fluid Dynamics · Physics 2016-01-20 Javier A. Diez , Alejandro G. González , Roberto Fernández

The dewetting of thin nanofilms is significantly impacted by thermal fluctuations, liquid-solid slip, and disjoining pressure, which can be described by lubrication equations augmented by appropriately scaled noise terms, known as…

Fluid Dynamics · Physics 2024-10-29 Yixin Zhang

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…

Fluid Dynamics · Physics 2022-02-16 Chengxi Zhao , Jingbang Liu , Duncan A. Lockerby , James E. Sprittles

Liquid nanofilms are ubiquitous in nature and technology, and their equilibrium and out-of-equilibrium dynamics are key to a multitude of phenomena and processes. We numerically study the evolution and rupture of viscous nanometric films,…

The fluid dynamics of the classical dewetting instability in ultrathin films is a non-linear process. However, the physical manifestation of the instability in terms of characteristic length and time scales can be described by a linearized…

Materials Science · Physics 2015-05-13 N. Shirato , H. Krishna , R. Kalyanaraman

Dynamics of a thin dewetting liquid film on a vertically oscillating substrate is considered. We assume moderate vibration frequency and large (compared to the mean film thickness) vibration amplitude. Using the lubrication approximation…

Fluid Dynamics · Physics 2010-02-18 S. Shklyaev , M. Khenner , A. A. Alabuzhev

We study the spreading of viscous drops on a solid substrate, taking into account the effects of thermal fluctuations in the fluid momentum. A nonlinear stochastic lubrication equation is derived, and studied using numerical simulations and…

Statistical Mechanics · Physics 2015-06-25 Benny Davidovitch , Esteban Moro , Howard A. Stone

Experiments on dewetting thin polymer films confirm the theoretical prediction that thermal noise can strongly influence characteristic time-scales of fluid flow and cause coarsening of typical length scales. Comparing the experiments with…

Soft Condensed Matter · Physics 2009-11-13 R. Fetzer , M. Rauscher , R. Seemann , K. Jacobs , K. Mecke

Liquid films of nanometric thickness are prone to spinodal dewetting driven by disjoining pressure, meaning that a non-wetting liquid film of homogeneous thickness in the range of tens of nanometers will spontaneously break into droplets.…

Fluid Dynamics · Physics 2025-04-11 Tilman Richter , Paolo Malgaretti , Jens Harting

Dewetting of thin liquid films is monitored in situ by atomic force microscopy, results are compared with simulations. The experimental setting is mimicked as close as possible using the experimental parameters including the effective…

Soft Condensed Matter · Physics 2007-05-23 Jürgen Becker , Günther Grün , Ralf Seemann , Karin Jacobs

We propose a model for predicting the fluctuations of electron states in thin films as function of film thickness. The model was derived based on the assumption of the existence of potential barrier fluctuations on the film surface. Since…

Mesoscale and Nanoscale Physics · Physics 2016-01-19 Mikrajuddin Abdullah

In this Letter we investigate the rupture instability of thin liquid films by means of a bifurcation analysis in the vicinity of the short-scale instability threshold. The rupture time estimate obtained in closed form as a function of the…

Fluid Dynamics · Physics 2009-11-10 A. M. Leshansky , B. Y. Rubinstein

We construct and derive uniform stochastic estimates on the renormalised model for a class of fourth-order conservative quasilinear singular SPDEs in arbitrary dimension $d\geq 1$ and in the full subcritical regime of noise regularity. The…

Analysis of PDEs · Mathematics 2026-05-19 Rishabh S. Gvalani , Markus Tempelmayr

We study the deformation and dewetting of liquid films under impinging gas jets using experimental, analytical and numerical techniques. We first derive a reduced-order model (a thin-film equation) based on the long-wave assumption and on…

Fluid Dynamics · Physics 2020-12-02 C. J. Ojiako , R. Cimpeanu , H. Bandulasena , R. Smith , D. Tseluiko

We discuss instabilities of fluid films of nanoscale thickness, with a particular focus on films where the destabilising mechanism allows for linear instability, metastability, and absolute stability. Our study is motivated by nematic…

Soft Condensed Matter · Physics 2018-04-04 Michael-Angelo Y. -H. Lam , Linda J. Cummings , Lou Kondic

The effect of confining walls on the fluctuation of a nanoscale thin film's free surface is studied using stochastic thin-film equations (STFEs). Two canonical boundary conditions are employed to reveal the influence of the confinement: (1)…

Fluid Dynamics · Physics 2023-01-25 Jingbang Liu , Chengxi Zhao , Duncan A. Lockerby , James E. Sprittles

Out-of-equilibrium systems, inherently complex and challenging to understand, are prevalent across various disciplines, including physics where they arise in contexts such as fluid dynamics. In particular, critical out-of-equilibrium…

Statistical Mechanics · Physics 2025-10-14 J. M. Marcos

Thin liquid films exhibit rich instability and rupture dynamics that critically impact coating performance across many applications. In this work, we use the lattice Boltzmann method (LBM) simulations within a lubrication-theory framework…

Materials Science · Physics 2026-05-01 Karim Gadelrab , Stefan Reimann-Zitz
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