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The growth process of single layer graphene with and without substrate is investigated using ab initio, finite temperature molecular dynamic calculations within density functional theory. An understanding of the epitaxial graphene growth…

Materials Science · Physics 2012-06-27 V. Ongun Özçelik , S. Cahangirov , S. Ciraci

We consider two thin layers of immiscible liquids on a heated solid horizontal substrate. The free liquid-liquid and liquid-gas interfaces of such a two-layer (or bilayer) liquid film may be unstable due to effective molecular interactions…

Pattern Formation and Solitons · Physics 2007-05-23 Andrey Pototsky , Michael Bestehorn , Domnic Merkt , Uwe Thiele

We investigate a diffuse-interface model that describes the dynamics of incompressible two-phase viscous flows with surfactant. The resulting system of partial differential equations consists of a sixth-order Cahn-Hilliard equation for the…

Analysis of PDEs · Mathematics 2023-07-28 Andrea Di Primio , Maurizio Grasselli , Hao Wu

Thin film coatings have been essential in development of several micro and nano-scale devices. To realize thin film coatings various deposition techniques are employed, each yielding surface morphologies with different characteristics of…

Materials Science · Physics 2016-11-18 Murat Yuksel , Tansel Karabacak , Hasan Guclu

A phase-field model is used to capture the surfactant-driven formation of fracture patterns in particulate monolayers. The model is intended for the regime of closely-packed systems in which the mechanical response of the monolayer can be…

Soft Condensed Matter · Physics 2017-06-30 Christian Peco , Wei Chen , Yingjie Liu , M. M. Bandi , John E. Dolbow , Eliot Fried

Since publication of the main contributions on the theory of kinetic roughening more than fifteen years ago, many works have been reported on surface growth or erosion that employ the framework of dynamic scaling. This interest was mainly…

Statistical Mechanics · Physics 2007-05-23 Rodolfo Cuerno , Luis Vazquez

The Saffman-Taylor instability occurs when a less viscous fluid is displacing a more viscous one in a rectangular Hele-Shaw cell. A surface tension on the interface between the two fluids is improving the stability. The multi-layer Hele -…

Fluid Dynamics · Physics 2019-03-06 Gelu Paşa

We present a theory for the kinetics of surfactant adsorption at the interface between an aqueous solution and another fluid (air, oil) phase. The model relies on a free-energy formulation. It describes both the diffusive transport of…

Condensed Matter · Physics 2007-05-23 H. Diamant , D. Andelman

Extremely small amounts of surface-active contaminants are known to drastically modify the hydrodynamic response of the water-air interface. Surfactant concentrations as low as a few thousand molecules per square micron are sufficient to…

Fluid Dynamics · Physics 2021-09-13 G. Koleski , J. -C. Loudet , A. Vilquin , B. Pouligny , T. Bickel

Linear and weakly nonlinear stability analyses of an externally shear-imposed, gravity-driven falling film over a uniformly heated wavy substrate are studied. The longwave asymptotic expansion technique is utilized to formulate a single…

Fluid Dynamics · Physics 2024-05-22 Md. Mouzakkir Hossain , Sukhendu Ghosh , Harekrushna Behera , G. P. Raja Sekhar

Surfactants that are deposited at aqueous liquid films have the ability to generate surface tension gradients at the air-water interface, and thereby induce Marangoni flow. Combined with the production and depletion of surfactants at…

Fluid Dynamics · Physics 2024-07-17 Julio Careaga , Peter A. Korevaar , Vanja Nikolić , Laura Scarabosio

Understanding and control of cluster and thin film growth on solid surfaces is a subject of intensive research to develop nanomaterials with new physical properties. In this Colloquium we review basic theoretical concepts to describe…

Materials Science · Physics 2014-03-03 Mario Einax , Wolfgang Dieterich , Philipp Maass

In this paper a simple (2+1) solid-on-solid model of the epitaxial films growth based on random deposition followed by breaking particle-particle lateral bonds and particles surface diffusion is introduced. The influence of the critical…

Materials Science · Physics 2007-05-23 R. Kosturek , K. Malarz

Atomic-scale smooth thin films are keys to successful integration and proper function of many multilayer-structured devices. However, the intrinsic island-like growth mode prevents human being from realizing such ultrasmooth films of many…

Applied Physics · Physics 2021-10-04 Rongjing Guo , Tai-Chang Chiang , Huan-hua Wang

With most of the focus to date having been on the coalescence of freely suspended droplets, much less is known about the coalescence of sessile droplets, especially in the case of droplets laden with surfactant. Here, we employ large-scale…

Soft Condensed Matter · Physics 2024-03-19 S. Arbabi , P. Deuar , R. Bennacer , Z. Che , P. E. Theodorakis

The duality between deformations of elastic bodies and non-inertial flows in viscous liquids has been a guiding principle in decades of research. However, this duality is broken when a spheroidal or other doubly-curved liquid film is…

Soft Condensed Matter · Physics 2023-07-20 Benny Davidovitch , Avraham Klein

The growth of interfacial instabilities during fluid displacements can be driven by gradients in pressure, viscosity and surface tension, and by applying external fields. Since displacements of non-Newtonian fluids such as polymer…

Soft Condensed Matter · Physics 2024-07-02 Vaibhav Raj Singh Parmar , Ranjini Bandyopadhyay

The influence of a random environment on the dynamics of a fluctuating rough surface is investigated using a field theoretic renormalization group. The environment motion is modelled by the stochastic Navier--Stokes equation, which includes…

Statistical Mechanics · Physics 2025-02-18 N. V. Antonov , A. A. Babakin , N. M. Gulitskiy , P. I. Kakin

We study the temporal growth pattern of surface fluctuations on a series of spinodally unstable polymer films where the degree of instability is controlled by the film thickness. For films in the deep spinodal region, the growth rate…

Materials Science · Physics 2007-05-23 Y. J. Wang , Ophelia K. C. Tsui

This project aims to study the sedimentation of a surfactant-laden drop in a liquid with particles. A 2D simulation is performed with MATLAB. The interface is captured by the front-tracking method. The local viscosity depends on the local…

Fluid Dynamics · Physics 2022-04-12 Xiaoxu Zhong