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We demonstrate, using well-established nonequilibrium limited-mobility solid-on-solid growth models, that mound formation in the dynamical surface growth morphology does not necessarily imply the existence of a surface edge diffusion bias…

统计力学 · 物理学 2009-10-31 S. Das Sarma , P. Punyindu , Z. Toroczkai

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…

流体动力学 · 物理学 2024-05-22 Md. Mouzakkir Hossain , Sukhendu Ghosh , Harekrushna Behera , G. P. Raja Sekhar

Diffusion-driven flow is a boundary layer flow arising from the interplay of gravity and diffusion in density-stratified fluids when a gravitational field is non-parallel to an impermeable solid boundary. This study investigates…

流体动力学 · 物理学 2024-09-23 Lingyun Ding

The effect of impurities on epitaxial growth in the submonolayer regime is studied using kinetic Monte Carlo simulations of a two-species solid-on-solid growth model. Both species are mobile, and attractive interactions among adatoms and…

材料科学 · 物理学 2007-05-23 Miroslav Kotrla , Joachim Krug , Pavel Smilauer

We treat the problem of diffusion of solute atoms around screw dislocations. In particular, we express and solve the diffusion equation, in radial symmetry, in an elastic field of a screw dislocation subject to the flux conservation…

材料科学 · 物理学 2015-05-13 Ali R. Massih

Alternative approach for description of the non-equilibrium phenomena arising in solids at a severe external loading is analyzed. The approach is based on the new form of kinetic equations in terms of the internal and modified free energy.…

统计力学 · 物理学 2014-08-27 L. S. Metlov

In this work we investigate influence of substrate temperature on the surface morphology for substrate coverage below one monolayer. The model of film growth is based on random deposition enriched by limited surface diffusion. Also…

凝聚态物理 · 物理学 2007-05-23 K. Malarz

We investigate two destabilization mechanisms for elastic polymer films and put them into a general framework: first, instabilities due to in-plane stress and second due to an externally applied electric field normal to the film's free…

软凝聚态物质 · 物理学 2015-05-20 Fabien Closa , Falko Ziebert , Elie Raphael

Accretion and ablation, i.e. the addition and removal of mass at the surface, is important in a wide range of physical processes including solidification, growth of biological tissues, environmental processes, and additive manufacturing.…

偏微分方程分析 · 数学 2021-11-22 S. Kiana Naghibzadeh , Noel Walkington , Kaushik Dayal

We perform a mass constrained phase-field approximation for a model that describes the epitaxial growth of a two-dimensional thin film on a substrate in the context of linearised elasticity. The approximated model encodes a variable on the…

偏微分方程分析 · 数学 2025-06-11 Gabriele Fissore

We derive the stochastic model of plasma-condensate systems by taking into account anisotropy in transference of adatoms between neighbor layers and by introducing fluctuations of adsorbate flux. We show, that by varying the fluctuation's…

介观与纳米尺度物理 · 物理学 2019-03-27 Vasyl O. Kharchenko , Alina V. Dvornichenko

In many growth processes particles are highly mobile in an active layer at the surface, but are relatively immobile once incorporated in the bulk. We study models in which atoms are allowed to interact, equilibrate, and order on the…

软凝聚态物质 · 物理学 2009-10-31 Mehran Kardar

In recent work, we developed a screening theory for describing the effect of plastic events in amorphous solids on its emergent mechanics. The suggested theory uncovered an anomalous mechanical response of amorphous solids where plastic…

软凝聚态物质 · 物理学 2023-05-24 Harish Charan , Michael Moshe , Itamar Procaccia

The purpose of this paper is to review some elasticity effects in epitaxial growth. We start by a description of the main ingredients needed to describe elasticity effects (elastic interactions, surface stress, bulk and surface elasticity,…

材料科学 · 物理学 2009-11-13 P. Muller

A new phase field model of microstructural evolution is presented that includes the effects of elastic strain energy. The model's thin interface behavior is investigated by mapping it onto a recent model developed by Echebarria et al (Phys…

材料科学 · 物理学 2008-10-29 Michael Greenwood , Jeffrey J. Hoyt , Nikolas Provatas

The evolution of two grains, which lie on a substrate and are in contact with each other, can be roughly described by a model in which the exterior surfaces of the grains evolve by surface diffusion and the grain boundary, namely the…

偏微分方程分析 · 数学 2022-07-08 Katrine Golubkov , Amy Novick-Cohen , Yotam Vaknin

Modeling the spontaneous evolution of morphology in natural systems and its preservation by proportionate growth remains a major scientific challenge. Yet, it is conceivable that if the basic mechanisms of growth and the coupled kinetic…

软凝聚态物质 · 物理学 2020-12-30 Virginia von Streng , Rami Abi-Akl , Bianca Giovanardi , Tal Cohen

What characterises a solid is its way to respond to external stresses. Ordered solids, such crystals, display an elastic regime followed by a plastic one, both well understood microscopically in terms of lattice distortion and dislocations.…

软凝聚态物质 · 物理学 2016-12-21 Giulio Biroli , Pierfrancesco Urbani

We report new results about the two-time dynamics of an anomalously diffusing classical particle, as described by the generalized Langevin equation with a frequency-dependent noise and the associated friction. The noise is defined by its…

统计力学 · 物理学 2009-11-07 Noelle Pottier

The morphological evolution of hillocks at the unpassivated sidewalls of the single crystal metallic thin films is investigated via computer simulations by using the free-moving boundary value problem. The effects of the drift-diffusion…

材料科学 · 物理学 2009-10-27 Tarik Omer Ogurtani , Aytac Celik , Emre Ersin Oren