Thermal capillary waves on bounded nanoscale thin films

Liu, Jingbang; Zhao, Chengxi; Lockerby, Duncan A.; Sprittles, James E.

doi:10.1103/physreve.107.015105

Cited by 6 publications

(2 citation statements)

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“…The approach can also be extended to the case of fluids with dissimilar properties such as density, viscosity, and diffusivity. Fluctuating hydrodynamics can also be used to investigate the behavior of thin films and model the dynamics of contact lines ( 16 – 18 ). The overall approach can also be generalized to systems with more than two components including polymer mixtures, enabling the simulation of a wide range of multiphase phenomena at the nanoscale.…”

Section: Discussionmentioning

confidence: 99%

“…There have been other studies using MD simulations ( 6 , 7 ), Lattice Boltzmann ( 8 ), and Dissipative Particle Dynamics simulations ( 9 , 10 ). Recently, the group at Warwick has extensively analyzed both the Rayleigh–Plateau instability ( 11 – 13 ) and related thin film phenomena ( 14 – 18 ) with stochastic lubrication theory and MD simulations.…”

mentioning

confidence: 99%

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Fluctuating hydrodynamics and the Rayleigh–Plateau instability

Bryn

Bell

Garcia

2023

Proc. Natl. Acad. Sci. U.S.A.

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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 interfacial energy densities. Consequently, at these scales, thermal fluctuations play a significant role in the dynamics of the instability. These microscopic effects have previously been investigated numerically using particle-based simulations, such as molecular dynamics (MD), and stochastic partial differential equation–based hydrodynamic models, such as stochastic lubrication theory. In this paper, we present an incompressible fluctuating hydrodynamics model with a diffuse-interface formulation for binary fluid mixtures designed for the study of stochastic interfacial phenomena. An efficient numerical algorithm is outlined and validated in numerical simulations of stable equilibrium interfaces. We present results from simulations of the Rayleigh–Plateau instability for long cylinders pinching into droplets for Ohnesorge numbers of Oh = 0.5 and 5.0. Both stochastic and perturbed deterministic simulations are analyzed and ensemble results show significant differences in the temporal evolution of the minimum radius near pinching. Short cylinders, with lengths less than their circumference, were also investigated. As previously observed in MD simulations, we find that thermal fluctuations cause these to pinch in cases where a perturbed cylinder would be stable deterministically. Finally, we show that the fluctuating hydrodynamics model can be applied to study a broader range of surface tension–driven phenomena.

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Section: Discussionmentioning

confidence: 99%