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相关论文: Stable Equilibria of Anisotropic Particles on Subs…

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We propose a sharp-interface continuum model based on a thermodynamic variational approach to investigate the strong anisotropic effect on solid-state dewetting including contact line dynamics. For sufficiently strong surface energy…

材料科学 · 物理学 2017-01-10 Wei Jiang , Yan Wang , Quan Zhao , David J. Srolovitz , Weizhu Bao

We present a phase-field model for simulating the solid-state dewetting of anisotropic crystalline films on non-planar substrates. This model exploits two order parameters to trace implicitly the crystal free surface and the substrate…

介观与纳米尺度物理 · 物理学 2025-05-01 Emma Radice , Marco Salvalaglio , Roberto Bergamaschini

We study the stability of closed, not necessarily smooth, equilibrium surfaces of an anisotropic surface energy for which the Wulff shape is not necessarily smooth. We show that if the Cahn Hoffman field can be extended continuously to the…

微分几何 · 数学 2011-10-20 Bennett Palmer

We study numerically the equilibrium shapes, shape transitions and dislocation nucleation of small strained epitaxial islands with a two-dimensional atomistic model, using simple interatomic pair potentials. We first map out the phase…

材料科学 · 物理学 2007-05-23 J. Jalkanen , O. Trushin , E. Granato , S. C. Ying , T. Ala-Nissila

We examine the shape of a an isolated, dislocation-free ice crystal when it is in equilibrium with the vapor phase in an isothermal closed environment, as a function of temperature. From our analysis we draw the following conclusions: 1)…

材料科学 · 物理学 2012-05-08 Kenneth G. Libbrecht

This work presents a fast and scalable approach for predicting surface stability and equilibrium crystal morphology in ionic materials using electrostatic analysis. The method constructs stoichiometric slab terminations and evaluates their…

材料科学 · 物理学 2026-04-30 Sourav Baiju , Payam Kaghazchi

We consider the shape evolution of two-dimensional islands on a crystal surface in the regime where mass transport is exclusively along the island edge. A directed mass current due to surface electromigration causes the island to migrate in…

材料科学 · 物理学 2007-05-23 Philipp Kuhn , Joachim Krug

As a departure from existing continuum approaches for describing the stability and evolution of surfaces of crystalline materials, this article provides a description of surface evolution based on the physics of the main feature imposed by…

凝聚态物理 · 物理学 2009-11-07 V. B. Shenoy , L. B. Freund

We investigate the formation and the coarsening dynamics of islands in a strained epitaxial semi-conductor film. These islands are commonly observed in thin films undergoing a morphological instability due to the presence of the elasto…

材料科学 · 物理学 2016-11-02 Guido Schifani , Thomas Frisch , Mederic Argentina , Jean-Noël Aqua

The equilibrium solutions and coarsening dynamics of strained semi-conductor islands are investigated analytically and numerically. We develop an analytical model to study the effect of surface energy anisotropy on the dynamics coarsening…

软凝聚态物质 · 物理学 2018-07-04 Guido Schifani , Médéric Argentina , Thomas Frisch

The linear dispersion relation for longwave surface perturbations, as derived by Levine et al. Phys. Rev. B 75, 205312 (2007) is extended to include a smooth surface energy anisotropy function with a variable anisotropy strength (from weak…

介观与纳米尺度物理 · 物理学 2015-05-18 Mikhail Khenner , Wondimu T. Tekalign , Margo S. Levine

The continuum model related to the Winterbottom problem, i.e., the problem of determining the equilibrium shape of crystalline drops resting on a substrate, is derived in dimension two by means of a rigorous discrete-to-continuum passage by…

偏微分方程分析 · 数学 2020-10-20 Paolo Piovano , Igor Velčić

Morphology evolution and coarsening of metal nanoislands is computed within the framework of a surface diffusion-type model that includes the effects of the electron energy confinement within the film, the charge spillage at the…

材料科学 · 物理学 2017-10-20 Mikhail Khenner

We investigate the structural properties of a two-dimensional system of ellipsoidal particles carrying a linear quadrupole moment in their center. These particles represent a simple model for a variety of uncharged, non-polar conjugated…

软凝聚态物质 · 物理学 2016-03-11 Thomas Heinemann , Moritz Antlanger , Martial Mazars , Sabine H. L. Klapp , Gerhard Kahl

A continuum theory is used to predict scaling laws for the morphological relaxation of crystal surfaces in two independent space dimensions. The goal is to unify previously disconnected experimental observations of decaying surface…

材料科学 · 物理学 2009-11-13 Dionisios Margetis

We revisit the classic stability problem of the buckling of an inextensible, axially compressed beam on a nonlinear elastic foundation with a semi-analytical approach to understand how spatially localized deformation solutions emerge in…

斑图形成与孤子 · 物理学 2020-09-03 Shrinidhi S. Pandurangi , Ryan S. Elliott , Timothy J. Healey , Nicolas Triantafyllidis

We study the equilibrium shape, shape transitions and optimal size of strained heteroepitaxial nanoislands with a two-dimensional atomistic model using simply adjustable interatomic pair potentials. We map out the global phase diagram as a…

材料科学 · 物理学 2008-12-04 J. Jalkanen , O. Trushin , E. Granato , S. C. Ying , T. Ala-Nissila

The statistical-mechanical study of the equilibrium properties of fluids, starting from the knowledge of the interparticle interaction potential, is essential to understand the role that microscopic interaction between individual particles…

软凝聚态物质 · 物理学 2025-10-07 Ana M. Montero

The shape evolution of two-dimensional islands through periphery diffusion biased by an electromigration force is studied numerically using a continuum approach. We show that the introduction of crystal anisotropy in the mobility of edge…

材料科学 · 物理学 2009-11-10 Philipp Kuhn , Joachim Krug , Frank Hausser , Axel Voigt

We consider a two-dimensional sharp-interface model for solid-state dewetting of thin films with anisotropic surface energies on curved substrates, where the film/vapor interface and substrate surface are represented by an evolving and a…

数值分析 · 数学 2024-10-02 Weizhu Bao , Yifei Li , Quan Zhao
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